Darby Company, operating at full capacity, sold 500,000 units at a price of $94 per unit during the current year. Its income statement is as follows:
Sales $47,000,000
Cost of goods sold 25,000,000
Gross profit $22,000,000
Expenses:
Selling expenses $4,000,000
Administrative expenses 3,000,000
Total expenses 7,000,000
Income from operations $15,000,000
The division of costs between variable and fixed is as follows:
Variable Fixed
Cost of goods sold 70% 30%
Selling expenses 75% 25%
Administrative expenses50% 50%
Management is considering a plant expansion program for the following year that will permit an increase of $3,760,000 in yearly sales. The expansion will increase fixed costs by $1,800,000 but will not affect the relationship between sales and variable costs.
Required:
1. Determine the total variable costs and the total fixed costs for the current year.
Total variable costs $_____
Total fixed costs $_____
2. Determine (a) the unit variable cost and (b) the unit contribution margin for the current year.
Unit variable cost $_____
Unit contribution margin $_____
3. Compute the break-even sales (units) for the current year.
4. Compute the break-even sales (units) under the proposed program for the following year.
5. Determine the amount of sales (units) that would be necessary under the proposed program to realize the $15,000,000 of income from operations that were earned in the current year.
6. Determine the maximum income from operations possible with the expanded plant.
7. If the proposal is accepted and sales remain at the current level, what will the income or loss from operations be for the following year?
8. Based on the data given, would you recommend accepting the proposal?
a. In favor of the proposal because of the reduction in break-even point.
b. In favor of the proposal because of the possibility of increasing income from operations.
c. In favor of the proposal because of the increase in break-even point.
d. Reject the proposal because if future sales remain at the current level, the income from operations will increase.
e. Reject the proposal because the sales necessary to maintain the current income from operations would be below the current year sales.

Answers

Answer 1

Answer:

1. Determine the total variable costs and the total fixed costs for the current year.

Total variable costs = $17,500,000 + $3,000,000 + $1,500,000 = $22,000,000 Total fixed costs = $10,000,000

2. Determine (a) the unit variable cost and (b) the unit contribution margin for the current year.

Unit variable cost = $22,000,000 / 500,000 = $44 Unit contribution margin = $94 - $44 = $50

3. Compute the break-even sales (units) for the current year.

break even point = $10,000,000 / $50 = 200,000 units

4. Compute the break-even sales (units) under the proposed program for the following year.

break even point = $11,800,000 / $50 = 236,000 units

5. Determine the amount of sales (units) that would be necessary under the proposed program to realize the $15,000,000 of income from operations that were earned in the current year.

units = ($11,800,000 + $15,000,000) / $50 = 536,000 units

6. Determine the maximum income from operations possible with the expanded plant.

total units sold 500,000 + 40,000 = 540,000total contribution margin = 540,000 x $50 = $27,000,000operating income = $27,000,000 - $11,800,000 = $15,200,000

7. If the proposal is accepted and sales remain at the current level, what will the income or loss from operations be for the following year?

operating income = (500,000 x $50) - $11,800,000 = $13,200,000represents a decrease of $15,000,000 - $13,200,000 = $1,800,000

8. Based on the data given, would you recommend accepting the proposal?

b. In favor of the proposal because of the possibility of increasing income from operations.

Related Questions

You have just been hired as a financial analyst for Barrington Industries. Unfortunately, company headquarters (where all of the firm's records are kept) has been destroyed by fire. So, your first job will be to recreate the firm's cash flow statement for the year just ended. The firm had $100,000 in the bank at the end of the prior year, and its working capital accounts except cash remained constant during the year. It earned $5 million in net income during the year but paid $750,000 in dividends to common shareholders. Throughout the year, the firm purchased $5.4 million of machinery that was needed for a new project. You have just spoken to the firm's accountants and learned that annual depreciation expense for the year is $450,000; however, the purchase price for the machinery represents additions to property, plant, and equipment before depreciation. Finally, you have determined that the only financing done by the firm was to issue long-term debt of $1 million at a 5% interest rate. The data has been collected in the Microsoft Excel Online file below. Open the spreadsheet and perform the required analysis to answer the question below.
What was the firm's end-of-year cash balance? Recreate the firm's cash flow statement to arrive at your answer. Write out your answer completely. For example, 5 million should be entered as 5,000,000. Round your answer to the nearest dollar, if necessary.

Answers

Answer:

200,000

Explanation:

A cash flow statement is a financial statement that summarizes the amount of cash and cash equivalents entering and leaving a company. The cash flow statement measures how well a company manages its cash position, meaning how well the company generates cash to pay its debt obligations and fund its operating expenses.

Cash flow from operating activities

Net Income                                                   5,000,000

Less Depreciation                                         (450,000)

Cashflow from operations                            5,450,000

Cash flow from investing activities

Purchase of Fixed assets                               5,400,,000

Cash flow from investing activities

Issue of long term debt                                   1,000,000

Dividend paid                                                   (750,000)

Cash generated from investing activities        250,000

Change in cash                                                  300,000

Beginning balance                                             100,000

Closing balance                                                  200,000

On May 31, the Cash account of Teasel had a normal balance of $5,700. During May, the account was debited for a total of $12,900 and credited for a total of $12,200. What was the balance in the Cash account at the beginning of May

Answers

Answer:

$6,400

Explanation:

Cash Account

Debit :

Beginning Balance                              $5,700

Receipts                                              $12,900

Totals                                                  $18,600

Credit :

Payments                                           $12,200

Ending Balance (Balancing figure)    $6,400

Totals                                                 $18,600

Jane is planning to go on a camping trip. She purchases a bottle of mineral water, a pack of biscuits, a small tube of toothpaste, and a toothbrush from the supermarket near her house. The items that Jane has purchased from the supermarket are _____.

Answers

franchise

Explanation:

right granted to an individual or group to the market for a business goods or services within a certain area

Jane is planning to go on a camping trip. The items that Jane has purchased from the supermarket are non durable goods.

What do you mean by the non durable goods?

The lifespan of consumer nondurable items, which are bought for immediate or nearly immediate consumption, ranges from minutes to three years. These frequently include things like meals, drinks, clothes, shoes, and gasoline.

Non-durable commodities are typically produced, delivered, and sold to consumers quickly.

These products are frequently used very rapidly as well, thus consumers require a constant supply in order to keep stocking up.

Therefore, Jane is planning to go on a camping trip. She purchases a bottle of mineral water, a pack of biscuits, a small tube of toothpaste, and a toothbrush from the supermarket near her house. The items that Jane has purchased from the supermarket are non durable goods.

To know more about the non durable goods, visit:

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Suppose that, in a competitive market without government regulations, the equilibrium price of milk is $2.50 per gallon, and employees at grocery stores earn $21.50 per hour. Indicate the following whether each of the statements is an example of a price ceiling or a price floor and whether it results in a shortage or a surplus or has no effect on the price and quantity that prevail in the market.

a. There are many teenagers who would like to work at grocery stores, but the minimum-wage law sets the hourly wage at $25.00.
b. The government has instituted a legal minimum price of $2.30 per gallon for milk.
c. The government prohibits grocery stores from selling milk for more than $2.30 per gallon.

Answers

Explanation:

at price ceiling we have price set at a maximum level. it cannot be raised beyond this level. At binding price ceiling, price would be set to be lower than what is the equilibrium price level.  a non binding price ceiling is set to be higher than equilibrium level.

At price floor, price is set to a particular minimum level.  It cannot fall lower than this. At binding price floor, price is higher than equilibrium price' at non binding price floor, it is set to be lower than equilibrium price level.

this expalnation should help us to answer this question.

(a) Many teenagers would like to work but minimum wage is set at 25.00 we have Price floor, Binding

(b) Government instituted legal minimum price of a gallon of milk at $2.30 we have Price floor, Non-binding

(c) if the Government prohibits from selling milk for more than $2.30 per gallon then we have Price ceiling, Binding

Etxuck327 Inc. sells a particular textbook for $39. Variable expenses are $28 per book. At the current volume of 49,000 books sold per year the company is just breaking even. Given these data, the annual fixed expenses associated with the textbook total:

Answers

Answer:

539,000.00  

Explanation:

As per the contribution margin analysis concept, the break-even point is obtained by dividing fixed cost by contribution margin per unit.

For Etuck327,

The selling price is $39

Variable expense is $28

Break-even in units is 49,000 books.

Contribution margin per unit = selling price - variable costs

=$39- $28

=$11

if Break-even = fixed cost/ contribution margin per unit, then

49,000= fixed cost / 11

fixed costs = 11 x 49000

Fixed costs = 539,000.00    

                   

The following data pertain to the Oneida Restaurant Supply Company for the year just ended.

Budgeted sales revenue $205,000
Actual manufacturing overhead 336,000
Budgeted machine hours (based on practical capacity) 8,000
Budgeted direct-labor hours (based on practical capacity) 20,000
Budgeted direct-labor rate $14
Budgeted manufacturing overhead $364,000
Actual machine hours 11,000
Actual direct-labor hours 18,000
Actual direct-labor rate $15


Required:
a. Compute the firm's predetermined overhead rate for the year using each of the following common cost drivers: (a) machine hours, (b) direct-labor hours, and (c) direct-labor dollars.
b. Calculate the over-applied or under-applied overhead for the year using each of the cost drivers listed above.

Answers

Answer:

Predetermined overhead rate = Budgeted manufacturing rate/Allocation base

a. Machine hours

= 364,000 / 8,000

= $45.5

Predetermined overhead rate = $45.5

Direct-labor hours

= 364,000 / 20,000

= $18.2

Predetermined overhead rate = $18.2

Direct-labor dollars

Budgeted labor hours = 20,000 * $14 = $280,000

Predetermined overhead rate =  364,000 / $280,000 = $1.3

b. Machine hours

Manufacturing overhead applied = Actual machine hours * Predetermined overhead rate = $45.5 * 11,000 = $500,500

Over/Under applied overhead = 336,000 - 500,500

Over-applied overhead = $164,500

Direct-labor hours

Manufacturing overhead applied = Actual direct-labor hours * Predetermined overhead rate = $18.2 * 18,000 = $327,600

Over/Under applied overhead = 336,000 - 327,600

Under-applied overhead = $8400

Direct-labor dollars

Manufacturing overhead applied = Actual direct-labor hours * Actual direct-labor rate * Predetermined overhead rate

Manufacturing overhead applied = 18,000 * $15 * $1.3 = 351,000

Over/Under applied overhead = 336,000 - 351,000

Over-applied overhead = $15,000

The calculation is as follows:

we know that

Predetermined overhead rate = Budgeted manufacturing rate ÷ Allocation base

a. Machine hours

= 364,000 ÷8,000

= $45.5

Predetermined overhead rate = $45.5

Direct-labor hours

= 364,000 ÷ 20,000

= $18.2

Predetermined overhead rate = $18.2

Direct-labor dollars

Budgeted labor hours = 20,000 × $14 = $280,000

Predetermined overhead rate =  364,000 ÷ $280,000 = $1.3

b. Machine hours

Manufacturing overhead applied = Actual machine hours × Predetermined overhead rate

= $45.5 × 11,000

= $500,500

So,

Over/Under applied overhead = 336,000 - 500,500

Over-applied overhead = $164,500

Direct-labor hours

Manufacturing overhead applied = Actual direct-labor hours × Predetermined overhead rate

= $18.2 × 18,000

= $327,600

Over/Under applied overhead = 336,000 - 327,600

Under-applied overhead = $8400

Direct-labor dollars

Manufacturing overhead applied = Actual direct-labor hours × Actual direct-labor rate × Predetermined overhead rate

= 18,000 × $15 × $1.3

= 351,000

Over/Under applied overhead = 336,000 - 351,000

Over-applied overhead = $15,000

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Rachel pushed very hard to go with Project A rather than Project B. There have been several cost overruns, the project is two weeks beyond its projected finish date, and the technology just isn't working out as planned. Rachel increases the funding for the third time and hires three new designers to help revamp the look of the product. Rachel is engaging in _____.

Answers

Answer: escalation of commitment

Explanation:

Escalation of commitment is when an individual or firm chooses an option which tends to be unsuccessful but the individual or firm still continues with the project because there has been investment which has already been made on it.

From the question, we are told that Rachel pushed very hard to go with Project A rather than Project B. From the information given, despite the fact that project A has been unsuccessful, Rachel continued with it and invested more in it rather than changing or leaving it for project B. This shows that Rachel is engaging in escalation of commitment.

The following incorrect income statement was prepared by the accountant of the Axel Corporation:

AXEL CORPORATION Income Statement For the Year Ended December 31, 2021 Revenues and gains:

Sales revenue $660,000
Interest revenue 39,000
Gain on sale of investments 86,000
Total revenues and gains 785,000
Expenses and losses:
Cost of goods sold $360,000
Selling expense 66,000
Administrative expense 86,000
Interest expense 23,000
Restructuring costs 62,000
Income tax expense 47,000
Total expenses and losses 644,000
Net Income $141,000
Earnings per share $1.41

Required:
Prepare a multiple-step income statement for 2018 applying generally accepted accounting principles. The income tax rate is 40%.

Answers

Answer:

                          AXEL CORPORATION

Income Statement For the Year Ended December 31, 2021

Particulars                            Amount           Amount

Sales Revenue                                           $6,60,000

Less : Cost of Goods Sold                         $360,000

Gross Profit                                                 $300,000

Less: Operating Expenses  

Selling Expenses                 $66,000

Administrative Expenses    $86,000        $152,000

Operating Income                                       $148,000

Non- Operating and others

Restructuring cost               -$62,000  

Interest Expenses                -$23,000  

Interest Revenue                $39,000  

Gain on sale of investment  $86,000         $40,000

Net Income before Taxes                            $188,000

Less : Income Tax Expenses                        $47,000  

Net income after Taxes                                $141,000

The Earning Per Shares remains $1.41

Read the overview below and complete the activities that follow. In addition to trade accounts payable, many companies have other types of current liabilities. These include amounts withheld from employees' pay, sales and other taxes payable, deposits, and other accrued liabilities.
CONCEPT REVIEW:
Companies have many different types of current liabilities. These can include various taxes payable (income tax, sales tax, payroll tax), accrued amounts for salary, vacation or other benefits, and estimates such as accrued utilities and warranty. To adhere to the concept of the matching principle, companies must estimate the amount of their other liabilities.
1. Federal anid state governments do not specily the exact______to be maint, but do specify the amounts to be withheld.
2. Income taxes withheld from employees but not yet submitted to the govenment are considered to be a(n)______.
3. When testing customer deposits, auditors typically review a(n)______of the individual deposits.
4. When testing other accrued liabilities. auditors may independently calculate the amount and______ it to management's estimate.
5. Property tax payments are typically______in number.

Answers

Answer:

1. Federal and state governments do not specify the exact__number of accounts____to be maintained, but do specify the amounts to be withheld.

2. Income taxes withheld from employees but not yet submitted to the government are considered to be a(n)_liability_____.

3. When testing customer deposits, auditors typically review a(n)_sample_____of the individual deposits.

4. When testing other accrued liabilities. auditors may independently calculate the amount and__compare____ it to management's estimate.

5. Property tax payments are typically_numerous_____in number.

Explanation:

Even Federal and State governments and business organizations apply the matching principle of the generally accepted accounting principles.  The principle requires that revenues are matched to the expenses that are incurred in generating them and vice versa.  The purpose is to present a balance view of financial performance and position of the reporting entity.  For this reason, who expenses may not be actually paid for and they are recognized while some that have been paid for are not.  The same rule applies to the revenue side.

Consider an economy that produces only chocolate bars. In year 1, the quantity produced is 3 bars and the price is $4. In year 2, the quantity produced is 4 bars and the price is $5. In year 3, the quantity produced is 5 bars and the price is $6. Using year 1 as the base year, compute nominal GDP, real GDP, and the GDP deflator for each year.

Answers

Answer:

The answer is below

Explanation:

The nominal GDP is the market value of goods within a country adjusted for price change.

Nominal GDP for year 1 = Total market value of goods at current price = 3 bars × $4 = $12

Nominal GDP for year 2 = Total market value of goods at current price = 4 bars × $5 = $20

Nominal GDP for year 3 = Total market value of goods at current price = 5 bars × $6 = $30

The real GDP is the market value of goods within a country at current price.

Real GDP for year 1 = Total market value of goods at base year price = 3 bars × $4 = $12

Real GDP for year 2 = Total market value of goods at base year price = 4 bars × $4 = $16

Real GDP for year 3 = Total market value of goods at base year price = 5 bars × $4 = $20

GDP deflator is the ratio of nominal GDP to real GDP multiplied by 100.

GDP deflator in year 1 = (Nominal GDP in year 1 / Real GDP in year 1) × 100 = ($12/$12) × 100 = 100

GDP deflator in year 2 = (Nominal GDP in year 2 / Real GDP in year 2) × 100 = ($20/$16) × 125 = 100

GDP deflator in year 3 = (Nominal GDP in year 3 / Real GDP in year 3) × 100 = ($30/$20) × 100 = 150

At $0.31 per​ bushel, the daily supply for wheat is 306 ​bushels, and the daily demand is 459 bushels. When the price is raised to $0.79 per​ bushel, the daily supply increases to 546 ​bushels, and the daily demand decreases to 439 bushels. Assume that the​ price-supply and​ price-demand equations are linear. a. Find the​ price-supply equation.

Answers

Answer:

The answer is below

Explanation:

a) Find the price supply equation. b) Find the price demand equation. c) Find the equilibrium price and quantity.

Solution:

a) A linear equation is in the form y = mx + b, where m is the slope, y is a dependent variable, x is an independent variable, b is value of y at x = 0.

Let p represent the price and q represent the quantity. Hence we have the points (306, 0.31), (546, 0.79)

Using the formula:

[tex]p-p_1=\frac{p_2-p_1}{q_2-q_1}(q-q_1)\\ \\p-0.31=\frac{0.79-0.31}{546-306} (q-306)\\\\p=0.002q-0.302[/tex]

b) Let p represent the price and q represent the demand. Hence we have the points (459, 0.31), (439, 0.79)

Using the formula:

[tex]p-p_1=\frac{p_2-p_1}{q_2-q_1}(q-q_1)\\ \\p-0.31=\frac{0.79-0.31}{439-459} (q-459)\\\\p=-0.024q+11.326[/tex]

c) At equilibrium, price supply equation = price supply equation

0.002q - 0.302 = -0.024q + 11.326

0.002q + 0.024q = 11.326 + 0.302

0.026q = 11.628

q = 447.23 bushels

p = 0.002q - 0.302 = 0.002(447.23) - 0.302

p = $1.2

If there is a technological advance that lowers the cost of producing x-ray machines, then we can say that the

Answers

Answer:

C) quantity supplied of those machines will go up.

Explanation:

the options are missing:

A ) quantity demanded for those machines will increase.

B) demand for those machines will shift right.

C) quantity supplied of those machines will go up.

D) quantity supplied of those machines will decrease.

If production costs decrease, the supply curve will shift to the right, increasing the total quantity supplied while decreasing the sales price. Advances in technology increase productivity, which allows companies to supply a higher amount of goods at lower prices, which in turn increases the total quantity demanded for these goods.

One-year Treasury securities yield 4.85%. The market anticipates that 1 year from now, 1-year Treasury securities will yield 5.2%. If the pure expectations theory is correct, what is the yield today for 2-year Treasury securities

Answers

Answer:

5.025%

Explanation:

When we assume that the pure expectations theory is correct, then we are assuming that there is no risk premium involved. The formula to determine the yield for the 2 year treasury security:

(1 + i)² = (1 + 4.85%) x (1 + 5.2%)

(1 + i)² = 1.0485 x 1.052

(1 + i)² = 1.103022

√(1 + i)² = √1.103022

1 + i = 1.050248542

i = 0.050248542 = 5.025%

Amy and Mitchell share equally in the profits, losses, and capital of the accrual basis AM Products LLC. The LLC does not need to report financial information to any third parties, so capital accounts are determined using tax rules (rather than GAAP). Amy is a managing member of the LLC (treated as a general partner) and is a U.S. person. At the beginning of the current tax year, Amy's capital account has a balance of $960,000, and the LLC has debts of $624,000 payable to unrelated parties. The debts are recourse to the LLC, but neither of the LLC members has personally guaranteed them. Assume that all LLC debt is shared equally between the partners. The following information about AM's operations for the current year is obtained from the LLC's records.


Ordinary income $900,000
W-2 wages to employees 200,000
Depreciation expense 300,000
Interest income from bond 4,000
Long-term capital loss 6,000
Short-term capital gain 12,000
Charitable contribution 4,000
Cash distribution to Amy 20,000
Unadjusted basis of partnership depreciable property 1,600,000

Year-end LLC debt payable to unrelated parties is $140,000.

Required:
What income, gains, losses, and deductions does Amy report on her income tax return?

Answers

Answer: See explanation

Explanation:

Share of ordinary income:

= (Ordinary income - Wages - Depreciation)/2

= (900,000 - 200,000 - 300,000)/2

= 400,000/2

= 200,000

Share of net short term capital gain

= (12,000 - 6,000) × 50%

= 6,000 × 0.5

= 3,000

Share of interest income

= 4000 × 50%

= 4000 × 0.5

= 2000

Share of charitable contribution deduction

= 4000 × 50%

= 4000 × 0.5

= 2000

a worker produced four components during an 8-hour shift in which he earned $96. What is his labor cost per unit?

Answers

Answer:

$24

Explanation:

Labor cost per unit is the ratio of total labor expense for a period of time divided by the total number of units produced during that period of time. It is given by the formula:

Labor cost per unit = Total money earned during a specified period / number of components produced.

Hence using the formula above, the labor cost per unit of the worker is gotten to be:

Labor cost per unit = $96 / 4 components = $24

University Printers has two service departments Maintenance and Personnel and two operating departments Printing and Developing. Management has decided to allocate maintenance costs on the basis of machine-hours in each department and personnel costs on the basis of labor-hours worked by the employees in each.
The following data appear in the company records for the current period:
Maintenance Personnel Printing Developing
Machine-hours ? 455 455 2,590
Labor-hours 315 ? 294 1,491
Department direct cost 11,000 $23,000 $25,000 $23,000
Required: Allocate the service department costs using the reciprocal method. Negative amounts should be indicated by a minus sign. Do not round intermediate calculations.

Answers

Answer:

Machine hour percentages -Allocation of Maintenance Costs  

455 + 455 + 2,590 = 3,500 total machine hrs

Personnel = 455 / 3,500 = 13%

Printing  = 455 / 3,500 = 13%

Developing = 2,590 / 3,500 = 74%

Labor hr. percentages--Allocation of Personnel costs  

315 + 294 + 1,491 = 2,100 total labor hrs.    

Maintenance = 315 / 2,100 = 15%

Printing  = 294 / 2,100 = 14%

Developing = 1,491 / 2,100 = 71%

                                                                   Service

                                     Maintenance   Personnel   Printing    Developing

Costs before allocation          11,000    23,000       25,000       23,000

Allocate maintenance costs -11,000      1,430          1,430          8,140

                                                     0        24,430

Allocate personnel costs       3664.5      -24430        3420.2       17345.3

Allocate maintenance costs -3664.5      476.39        476.39         2711.73

Allocate personnel costs         71.46       -476.39          66.69       338.24

Allocate maintenance costs     -71.46       9.29              9.29        52.88

Allocate personnel costs         1.39           -9.29           1.3006      6.5959

Allocate maintenance costs    -1.39             0                 0                1.39

Total costs                                0.00           0.00          30403.87  51596.13

Workings

Allocate maintenance costs

Personnel = (11000 * 13%) = 1430

Printing = (11000 * 13%) = 1430

Developing =  (11000 * 74%) =  8140

Allocate personnel costs

Maintenance = 24430 * 15% =

Printing = (24430 * 14%) =

Developing = (24430 * 71%)  =

Allocate maintenance costs

Personnel = (3664.5 * 13%)

Printing = (3664.5 * 13%)

Developing = (3664.5 * 74%)

Allocate personnel costs

Maintenance = (476.39 * 15%)  

Printing = (476.39 * 14%)

Developing = (476.39 * 71%)

Allocate maintenance costs

Personnel = (71.46 * 13%)

Printing = (71.46 * 13%)

Developing = (71.46 * 74%)

Allocate personnel costs

Maintenance= (9.29 * 15%)

Printing = (9.29 * 14%)

Developing = (9.29 * 71%)

Apr. 2 Purchased $6,900 of merchandise from Lyon Company with credit terms of 2/15, n/60, invoice dated April 2, and FOB shipping point.
3 Paid $390 cash for shipping charges on the April 2 purchase.
4 Returned to Lyon Company unacceptable merchandise that had an invoice price of $500.
17 Sent a check to Lyon Company for the April 2 purchase, net of the discount and the returned merchandise.
18 Purchased $13,100 of merchandise from Frist Corp. with credit terms of 1/10, n/30, invoice dated April 18, and FOB destination.
21 After negotiations, received from Frist a $400 allowance toward the $13,100 owed on the April 18 purchase.
28 Sent check to Frist paying for the April 18 purchase, net of the allowance and the discount.

Required:
Prepare journal entries to record the above transactions for a retail store. Assume a perpetual inventory system.

Answers

Answer:

Apr. 2

Merchandise $6,900 (debit)

Accounts Payable : Lyon Company $6,900 (credit)

Purchased Merchandise from Lyon Company on credit

April 3.

Accounts Payable : Lyon Company $390 (debit)

Cash $390 (credit)

Payment of Freight Charges Include in Invoice (FOB)

April 4.

Accounts Payable : Lyon Company $500 (debit)

Merchandise $500 (credit)

Returned Merchandise to Lyon Company

April 17.

Accounts Payable : Lyon Company $6,010 (debit)

Discount Received $120 (credit)

Cash $5,890 (credit)

Payment of amount due to Lyon Company and discount received

April 18.

Merchandise $13,100  (debit)

Accounts Payable: Frist Corp $13,100  (credit)

Purchased Merchandise on credit from Frist Corp

April 2.

Accounts Payable: Frist Corp $400  (debit)

Purchase allowance $400 (credit)

Received and allowance from Frist Corp

April 28.

Accounts Payable: Frist Corp $12,700 (debit)

Discount Received $127 (credit)

Cash $12,573 (credit)

Payment of amount due to Frist Corp and discount received

Explanation:

See the journals and their narrations prepared above.

Sunset Products manufactures skateboards. The following transactions occurred in March. Purchased $24,500 of materials on account. Issued $1,450 of supplies from the materials inventory. Purchased $25,900 of materials on account. Paid for the materials purchased in transaction (1) using cash. Issued $30,900 in direct materials to the production department. Incurred direct labor costs of $29,500, which were credited to Wages Payable. Paid $22,400 cash for utilities, power, equipment maintenance, and other miscellaneous items for the manufacturing shop. Applied overhead on the basis of 120 percent of direct labor costs. Recognized depreciation on manufacturing property, plant, and equipment of $5,900.
The following balances appeared in the accounts of Sunset Products for March:
Beginning Ending
Materials Inventory $ 13,500 ?
Work-in-Process Inventory 24,750 ?
Finished Goods Inventory 97,500 $ 54,750
Cost of Goods Sold 120,000
Required:
a. Prepare journal entries to record the transactions. (If o entry is required for a transaction/event, select "No journal entry required" in the first account field.)
Transactions General Journal Debit Credit
1.
2.
3.
4.
5.
6.
7.
8.
9.
b. Prepare T-accounts to show the flow of costs during the period from Materials Inventory through Cost of Goods Sold.
Materials Inventory
Beg. bal. ___________ ____________
______ ___________ ____________ ______
______ ___________ ____________ ______
______ ___________ ____________ ______
End. bal. ___________ ____________ ______
Work in Progress Inventory
Beg. bal. ___________ ____________
______ ___________ ____________ ______
______ ___________ ____________ ______
______ ___________ ____________ ______
______ ___________ ____________ ______
End. bal. ___________ ____________ ______
Manufacturing Overhead Control
Beg. bal. ___________ ____________
______ ___________ ____________ ______
______ ___________ ____________ ______
______ ___________ ____________ ______
______ ___________ ____________ ______
End. bal. ___________ ____________ ______
Applied Manufacturing Overhead
Beg. bal. ___________ ____________
______ ___________ ____________ ______
______ ___________ ____________ ______
End. bal. ___________ ____________ ______
Accounts Payable
Beg. bal. ___________ ____________
______ ___________ ____________ ______
______ ___________ ____________ ______
______ ___________ ____________ ______
End. bal. ___________ ____________ ______
Cash
Beg. bal. ___________ ____________
______ ___________ ____________ ______
______ ___________ ____________ ______
______ ___________ ____________ ______
End. bal. ___________ ____________ ______
Wages Payable
Beg. bal. ___________ ____________
______ ___________ ____________ ______
______ ___________ ____________ ______
End. bal. ___________ ____________ ______
Accumulated Depreciation-Property, Plant, and Equipment
Beg. bal. ___________ ____________
______ ___________ ____________ ______
______ ___________ ____________ ______
End. bal. ___________ ____________ ______
Finished Goods Inventory
Beg. bal. ___________ ____________
Goods Completed ___________ ____________ Transfer to Cost of Goods Sold
End. bal. ___________ ____________
Cost of Goods Sold
Beg. bal. ___________ ____________
Finished Goods Inventory ___________ ____________
End. bal. ___________ ____________

Answers

Answer:

Sunset Products

a) Journal Entries:

Transactions General Journal      Debit       Credit

Materials Inventory                   $24,500

Accounts Payable                                       $24,500

To record the purchase of materials on account.

Manufacturing Overhead           $1,450

Materials Inventory                                       $1,450

To record the issue of supplies.

Materials Inventory                   $25,900

Accounts Payable                                       $25,900

To record the purchase of materials on account.

Accounts Payable                    $24,500

Cash Account                                            $24,500

To record the payment on account.

Work-in-Process Inventory      $30,900

Materials Inventory                                  $30,900

To record the issue of direct materials to the production department.

Work-in-Process Inventory     $29,500

Factory Wages                                         $29,500

To record direct labor costs to work in process.

Manufacturing Overhead       $22,400

Cash Account                                       $22,400

To record the payment for utilities and other expenses.

Work-in-Process Inventory    $35,400

Manufacturing Overhead                      $35,400

To apply overhead to work in process.

Manufacturing Overhead       $5,900

Depreciation Expense                            $5,900

To recognize depreciation on property, plant, and equipment.

Manufacturing overhead applied  $29,750

Manufacturing overhead                              $29,750

To transfer manufacturing overhead to the overhead applied account.

b) T-accounts:

Materials Inventory

Transaction Details                  Debit             Credit

Beginning balance                $ 13,500

Accounts Payable                    24,500

Manufacturing overhead                             $1,450

Accounts Payable                   25,900

Work-in-Process Inventory                         30,900

Ending balance                                          $31,550

Work-in-Process Inventory

Transaction Details                  Debit             Credit

Beginning balance                 $24,750

Materials Inventory                  30,900

Factory Wages                         29,500

Manufacturing Overhead       35,400

Finished Goods Inventory                         $71,600

Ending balance                                           54,200

Finished Goods Inventory

Transaction Details                  Debit             Credit

Beginning balance                $97,500

Work-in-Process                      71,600

Cost of goods sold                                     $114,350

Ending balance                                             54,750

Cost of Goods Sold

Transaction Details                  Debit             Credit

Beginning balance                $120,000

Overapplied overhead                                 $5,650

Ending balance                                             114,350

Manufacturing Overhead Control Account

Transaction Details                  Debit             Credit

Materials Inventory                 $1,450

Cash Account                        22,400

Depreciation expense            5,900

Manufacturing overhead applied              $29,750

Manufacturing Overhead Applied

Transaction Details                  Debit             Credit

Work in Process                                          $35,400

Manufacturing overhead    $29,750

Overapplied overhead            5,650

Accounts Payable

Transaction Details                  Debit             Credit                              Materials Inventory                                      $24,500

Materials Inventory                                        25,900

Cash Account                       $24,500

Ending Balance                      25,900

Cash Account

Transaction Details                  Debit             Credit

Accounts Payable                                         $24,500

Manufacturing Overhead                               22,400

Explanation:

a) Data and Calculations:

Accounts balances of Sunset Products for March:

                                             Beginning     Ending

Materials Inventory                $ 13,500         ?

Work-in-Process Inventory       24,750        ?

Finished Goods Inventory        97,500       $ 54,750

Cost of Goods Sold                                       120,000

Sparky Corporation uses the weighted-average method of process costing. The following information is available for February in its Molding Department:

Units:

Beginning Inventory: 30,000 units, 100% complete as to materials and 55% complete as to conversion.
Units started and completed: 120,000.
Units completed and transferred out: 150,000.
Ending Inventory: 32,500 units, 100% complete as to materials and 30% complete as to conversion.

Costs:
Costs in beginning Work in Process - Direct Materials: $48,000.
Costs in beginning Work in Process - Conversion: $53,850.
Costs incurred in February - Direct Materials: $328,050.
Costs incurred in February - Conversion: $604,150.

Required:
Calculate the cost per equivalent unit of materials.

Answers

Answer:

Cost per equivalent unit of material = $2.06

Explanation:

Total cost of material=  Cost of material in beginning WIP +  Cost of material incurred in February  

= $48,000 + $328,050

= $376,050

Equivalent units =  Number of units completed and transferred+  Ending inventory

= 150,000 units + 32,500 units

= 182,500 units

Cost per equivalent unit of material =  Total cost of direct material  / Equivalent units

= $376,050 / 182,500 units

= $2.06

Swifty Company purchased equipment for $256,800 on October 1, 2020. It is estimated that the equipment will have a useful life of 8 years and a salvage value of $12,000. Estimated production is 48,000 units and estimated working hours are 20,400. During 2020, Swifty uses the equipment for 600 hours and the equipment produces 1,000 units.

Required:
Compute depreciation expense under each of the following methods. Swifty is on a calendar-year basis ending December 31.

a. Straight-line method for 2020 $enter a dollar amount.
b. Activity method (units of output) for 2020 $enter a dollar amount.
c. Activity method (working hours) for 2020 $enter a dollar amount.
d. Sum-of-the-years'-digits method for 2022 $enter a dollar amount (e) Double-declining-balance method for 2021

Answers

Answer:

a.  Straight line method.

Depreciation per annum = ($ 256,800 - $12,000 ) / 8 = $ 30,600.

Depreciation for 2020 = $ 30,600 * ( 3 /12 ) = $ 7,650.

b. Units of output

Depreciation per unit = ( $ 256,800 - $ 12,000 ) / 48,000 = $ 5.1

Depreciation for 2020 = 1,000 * $ 5.1 = $ 5,100.

c. Working hours.

Depreciation per hours = ( $ 256,800 - $ 12,000 ) / 20,400 = $ 12

Depreciation for 2020 = 600 * $ 12 = $ 7,200.

D. Sum of digits method

Sum of years = 8 ( 8 +1 ) / 2 = 36.

Year - 1 used ( 3 / 12 = 0.25)

Year-2 used ( 12 / 12 = 1 )

Remaining ( 8 - 1 - 0.25 = 6.75)

Depreciation for 2022 = ($ 256,800 - $ 12,000 ) * ( 6.75 / 36 )

Depreciation for 2022 = $ 45,900.

e. Double declining balance

Depreciation rate = 200 / 8 = 25 %.

Depreciation for 2020 = $256,800 * 25 % * (3 /12)

Depreciation for 2020 = $16,050.  

Depreciation for 2021 = ( $256,800 - $ 16,050) * 25%

Depreciation for 2021 = $60,188.

What was the first chess champion

Answers

Answer:

Wilhelm Steinitz

Explanation:

Answer:

Wilhelm Steinitz

Explanation:

in 1886 he took place the first officially recognized World Chess Championship. So in the year of 1886 he was proclaimed as the first World Chess Champion. The final result was 10 victories for Steinitz, 5 for Zukertort and 5 draws

The following information relates to Sheridan Company for the year 2022.

Retained earnings, January 1, 2022 $40,320
Advertising expense $1,510
Dividends during 2022 4,200
Rent expense 8,740
Service revenue 52,500
Utilities expense 2,600
Salaries and wages expense 23,520
Other comprehensive income (net of tax) 340

Required:
a. After analyzing the data, compute net income.
b. Prepare a comprehensive income statement for the year ending December 31, 2022.

Answers

Answer:

a. Computation of net income

Particulars                                      Amount

Service revenue                            $52,500

Less: Expenses

Salaries and wages expenses      ($23,520)

Utilities expense                             ($2,600)

Rent expense                                  ($8,740)

Advertising expense                       ($1,510)

Net Income                                      $16,130

b. Computation of comprehensive income statement

Particulars                                            Amount

Net Income                                           $16,130

Add: Other Comprehensive Income   $380    

Comprehensive Income                      $16,470

Note: Dividend will not be included as it forms part of Income statement

The partnership of Angel Investor Associates began operations on January 1, 20Y5, with contributions from two partners as follows:

Dennis Overton $180,000
Ben Testerman 120,000

The following additional partner transactions took place during the year:

1. In early January, Randy Campbell is admitted to the partnership by contributing $75,000 cash for a 20% interest.
2. Net income of $150,000 was earned in 20Y5. In addition, Dennis Overton received a salary allowance of $40,000 for the year. The three partners agree to an income-sharing ratio equal to their capital balances after admitting Campbell.
3. The partners' withdrawals are equal to half of the increase in their capital balances from salary allowance and income.

Required:
Prepare a statement of partnership equity for the year ended December 31, 20Y5.

Answers

Answer:

450000

Explanation:

The statement of partners' capital shows the changes in each partner's capital account for the year or period being reported on. It has the same format as the statement of owner's equity except that it includes a column for each partner and a total column for the company rather than just one column. The statement starts with the beginning capital balance, followed by the amounts of investments made, the share of net income or loss, and withdrawals made during the reporting period to determine the capital balance at the end of the period.

                                          Dennis        Ben         Randy         Total capital

Balance jan1,20Y5           180,000   120,000         -                300,000

Admission of randy                -              -              75000            75000

Salary Allowance            40000          -                  -                 40000

Remaining income            52800     35200         22000          110,000

Partners withdrawals        (46400)   (17600)         (11000)         (75000 )

Balance Dec 31,2015       226400    137600        86000          450000

The following were selected from among the transactions completed by Babcock Company during November of the current year:

Nov. 3 Purchased merchandise on account from Moonlight Co., list price $85,000, trade discount 25%, terms FOB destination, 2/10, n/30.

Nov.4 Sold merchandise for cash, $37,680. The cost of the merchandise sold was $22,600.

Nov. 5 Purchased merchandise on account from Papoose Creek Co., $47,500, terms FOB shipping point, 2/10, n/30, with prepaid freight of $810 added to the invoice.

Nov. 6 Returned $13,500 ($18,000 list price less trade discount of 25%) of merchandise purchased on November 3 from Moonlight Co.

Nov. 8 Sold merchandise on account to Quinn Co., $15,600 with terms n/15. The cost of the merchandise sold was $9,400.

Nov. 13 Paid Moonlight Co. on account for purchase of November 3, less return of November 6.

Nov. 14 Sold merchandise on VISA, $236,000. The cost of the merchandise sold was $140,000.

Nov. 15 Paid Papoose Creek Co. on account for purchase of November 5.

Nov. 23 Received cash on account from sale of November 8 to Quinn Co.

Nov. 24 Sold merchandise on account to Rabel Co., $56,900, terms 1/10, n/30. The cost of the merchandise sold was $34,000.

Nov. 28 Paid VISA service fee of $3,540.

Nov. 30 Paid Quinn Co. a cash refund of $6,000 for returned merchandise from sale of November 8. The cost of the returned merchandise was $3,300.

Journalize the transactions.

Answers

Answer:

Babcock Company

Journal Entries:

Nov. 3:

Debit Inventory $63,750

Credit Accounts Payable (Moonlight Co.) $63,750

To record the purchase of goods on account, terms FOB destination, 2/10, n/30.

Nov. 4:

Debit Cash Account $37,680

Credit Sales Revenue $37,680

To record the sale of goods for cash.

Debit Cost of goods sold $22,600

Credit Inventory $22,600

To record the cost of goods sold.

Nov. 5:

Debit Inventory $47,500

Credit Cash (For prepaid freight) $810

Credit Accounts Payable (Papoose Creek Co.) $46,690

To record the purchase of goods on account, terms FOB Shipping point, 2/10, n.30.

Nov. 6:

Debit Accounts Payable (Moonlight Co.) $13,500

Credit Inventory $13,500

To record the return of goods to Moonlight Co.

Nov. 8:

Debit Accounts Receivable (Quinn Co.) $15,600

Credit Sales Revenue $15,600

To record the sale of goods on account, terms n/15.

Debit Cost of goods sold $9,400

Credit Inventory $9,400

To record the cost of goods sold.

Nov. 13:

Debit Accounts Payable (Moonlight Co.) $50,250

Credit Cash Discount $1,005

Credit Cash Account $49,245

To record the payment for goods on account

Nov. 14:

Debit VISA Account $236,000

Credit Sales Revenue $236,000

To record the sale of goods on VISA.

Debit Cost of goods sold $140,000

Credit Inventory $140,000

To record the cost of goods sold.

Nov. 15:

Debit Accounts Payable (Papoose Creek Co.) $46,690

Credit Cash Discount $9,338

Credit Cash Account $37,353

To record the payment on account.

Nov. 23:

Debit Cash Account $15,600

Credit Accounts Receivable (Quinn Co.) $15,600

To record the receipt of cash on account.

Nov. 24:

Debit Accounts Receivable (Rable Co.) $56,900

Credit Sales Revenue $56,900

To record the sale of goods on account, terms 1/10, n/30.

Debit Cost of goods sold $34,000

Credit Inventory $34,000

To record the cost of goods sold.

Nov. 28:

Debit VISA Service Fee Expense $3,540

Credit Cash Account $3,540

To record the payment for VISA service.

Nov. 30:

Debit Inventory $3,300

Credit Cost of goods sold $3,300

To record the return of goods.

Debit Sales Returns $6,000

Credit Accounts Receivable $6,000

To record the return of goods by Quinn Co.

Debit Accounts Receivable $6,000

Credit Cash Account $6,000

To record the refund for returned goods.

Explanation:

Babcock Company uses Journals to record business transactions as they occur on a daily basis.  They provide the needed guidance to ensure that the accounts involved in every business transaction are properly identified and entries are correctly recorded on the correct side of the accounts.  Transactions are recorded following the ubiquitous accounting equation, the accrual concept, and matching principle of generally accepted accounting principles.

Seiko’s current salary is $85,000. Her marginal tax rate is 32 percent and she fancies European sports cars. She purchases a new auto each year. Seiko is currently a manager for an Idaho Office Supply. Her friend, knowing of her interest in sports cars, tells her about a manager position at the local BMW and Porsche dealer. The new position pays only $75,000 per year, but it allows employees to purchase one new car per year at a discount of $15,000. This discount qualifies as a nontaxable fringe benefit. In an effort to keep Seiko as an employee, Idaho Office Supply offers her a $10,000 raise. Answer the following questions about this analysis.
Problem 12-41
Part a a. Assuming it has a 21 percent marginal tax rate, what is the annual after-tax cost to Idaho Office Supply to provide Seiko with the $10,000 increase in salary?

Answers

Answer:

$7,900

Explanation:

Calculation for the annual after-tax cost

Additional salary = $ 10,000

Marginal tax rate=21%

First step is to find the income tax benefit

Income tax benefit = $ 10,000 x 21%

Income tax benefit= $ 2,100

Second step is to find the Annual after tax cost of additional salary

Annual after tax cost of additional salary = $ 10,000 - $2,100

Annual after tax cost of additional salary = $7,900

Therefore the annual after-tax cost will be $7,900

Air conditioning for a college dormitory will cost $2.1 million to install and $170,000 per year to operate at current prices. The system should last 19 years. The real cost of capital is 9%, and the college pays no taxes. What is the equivalent annual cost

Answers

Answer:

$404,634

Explanation:

the formula that we can use to calculate equivalent annual costs is:

EAC = asset price x {discount rate / [1 - (1 + discount rate)⁻ⁿ]} + annual maintenance costs

EAC = $2,100,000 x {0.09 / [1 - (1.09)⁻¹⁹]} + $170,000

EAC = $2,100,000 x {0.09 / [1 - (1.09)⁻¹⁹]} + $170,000 = $234,634 + $170,000 = $404,634

EAC is basically the cost of using an asset during its lifetime. We are determining the cost per year, assuming that they are all equal.

Determining the true cash balance, starting with the unadjusted book balance
Nickleson Company had an unadjusted cash balance of $7,176 as of May 31. The company’s bank statement, also dated May 31, included a $67 NSF check written by one of Nickleson’s customers. There were $1,239 in outstanding checks and $255 in deposits in transit as of May 31. According to the bank statement, service charges were $35, and the bank collected an $600 note receivable for Nickleson. The bank statement also showed $14 of interest revenue earned by Nickleson.
Required:
Determine the true cash balance as of May 31. (Hint: It is not necessary to use all of the preceding items to determine the true balance.)
True cash balance

Answers

Answer:

True Cash Balance $7,688

Explanation:

The computation of the true cash balance is shown below:

Unadjusted Cash Balance as of May 31 $7,176

Add: Interest Earned   $14

Note Collected by Bank $600

Less: NSF check ($67)

Less Bank charges ($35)

True Cash Balance $7,688

Hence, the true cash balance is $7,688 and the same is to be considered

For Coppertone products, evaluations in the postpurchase behavior stage of the consumer purchase decision process that are most likely to cause dissatisfaction are

Answers

Answer:

dry skin and acne

Explanation:

Coppertone is an American brand name of a sunscreen. This brand is headquartered in Whippany, New Jersey. Coppertone the Coppertone girl logo and a different kind of fragrance.

For Coppertone products, evaluations in the post purchase behavior stage of the consumer purchase decision process that are most likely to cause dissatisfaction are dry skin and acne.

The accounts in the ledger of Dependable Delivery Service contain the following balances on July 31, 2022.

Accounts Receivable $11,400
Prepaid Insurance $1,800
Accounts Payable 7,400
Maintenance and Repairs Expense 1,200
Cash 15,940
Service Revenue 15,500
Equipment 59,360
Dividends 800
Utilities Expense 950
Common Stock 40,000
Insurance Expense 600
Salaries and Wages Expense 8,400
Notes Payable, due 2024 31,450
Salaries and Wages Payable 900
Retained Earnings (July 1, 2022) 5,200

Required:
Prepare classified balance sheet for July 31, 2022.

Answers

Answer:

Dependable Delivery Service

Classified balance sheet as at July 31, 2022

Non Current Assets

Equipment                                                  $59,360

Total Non Current Assets                          $59,360

Current Assets

Accounts Receivable                                  $11,400

Prepaid Insurance                                        $1,800

Cash                                                            $15,940

Total Current Assets                                  $29,140

Total Assets                                               $88,500

Equity and Liabilities

Equity

Common Stock                                         $40,000

Retained Earnings                                       $8,750

Total Equity                                                $48,750

Liabilities

Non Current Liabilities

Notes Payable, due 2024                         $31,450

Total Non Current Liabilities                     $31,450

Current Liabilities

Accounts Payable                                      $7,400

Salaries and Wages Payable                       $900

Total Non-Current Liabilities                     $8,300

Total Liabilities                                         $39,750

Total Equity and Liabilities                      $88,500

Explanation:

Its very important to calculate the Retained Earnings Balance at the end of July 2020.

To do this, we need to first calculate the Net Income for the period as follows :

Income Statement for the year ended July 31, 2022

Service Revenue                                                        15,500

Less Expenses :

Maintenance and Repairs Expense           1,200

Utilities Expense                                           950

Insurance Expense                                       600

Salaries and Wages Expense                    8,400     (11,150)

Net Income/(loss)                                                         4,350

Then, calculate the Retained Earnings Balance as follows :

Retained Earnings Calculation

Beginning Balance                                    5,200

Add Net Income during the period          4,350

Less Dividends                                            (800)

Ending Balance                                         8,750

A remotely located air sampling station can be powered by solar cells or by running an electric line to the site and using conventional power. Solar cells will cost $12,600 to install and will have a useful life of 4 years with no salvage value. Annual costs for inspection, cleaning, etc. are expected to be $1,400. A new power line will cost $11,000 to install, with power costs expected to be $800 per year. Since the air sampling project will end in 4 years, the salvage value of the line is considered to be zero. At an interest rate of 10% per year, which alternative should be selected on the basis of a future worth analysis?

Answers

Answer:

Since the total future worth of running an electric line of $19,353.42 is less than the total future worth of solar cells is $24,132.22, it implies that it will be cheaper to run an electric line than to use solar cells. Therefore, running an electric line should be selected.

Explanation:

The future worth analysis refers to an act of determining what the the worth of present amount of money or stream of money invested at an interest rate will after in some period or years to come.

To determine which one to select between solar cells and running an electric line, the we need to calculate the future worth of both and compared as follows:

a. Calculation of future value of solar cells

Calculation of future worth of $12,600 installation cost

FW of $12,600 = PW of $12,600 * (1 + r)^n ................ (1)

Where;

FW of $12,600 = Future worth of $12,600 installation cost = ?

PW of $12,600 = Present worth of $12,600 installation cost = $12,600

r = interest rate = 10%, or 0.10

n = number of years = 4

Substitute the values into equation (1), we have:

FW of $12,600 = $12,600 * (1 + 0.10)^4

FW of $12,600 = $12,600 * 1.4641

FW of $12,600 = $18,447.66

Calculation of future worth of annual costs for inspection, cleaning, etc. of $1,400

The future worth of annual costs for inspection, cleaning, etc. of $1,400 can also be calculated using the formula for calculating the Future Value (FV) of an Ordinary Annuity as follows:

FW of $1,400 = M * (((1 + r)^n - 1) / r) ................................. (2)

Where,

FW of $1,400 = Future value of Annual costs for inspection, cleaning, etc. of $1,400 =?

M = Annual costs for inspection, cleaning, etc. = $1,400

r = interest rate = 10%, or 0.10

n = number of years = 4

Substitute the values into equation (2), we have:

FW of $1,400 = $1,400 * (((1 + 0.01)^4 - 1) / 0.01)

FW of $1,400 = $1,400 * 4.060401

FW of $1,400 = $5,684.56

Calculation of total future worth of solar cells

This is calculated by simply adding the FW of $12,600 and FW of $1,400 as follows:

Total future worth of solar cells = FW of $12,600 + FW of $1,400 = $18,447.66 + $5,684.56 = $24,132.22

Therefore, the total future worth of solar cells is $24,132.22.

b. Calculation of future value of running an electric line

Calculation of future worth of $11,000 installation cost

FW of $11,000 = PW of $11,000 * (1 + r)^n ................ (3)

Where;

FW of $11,000 = Future worth of $11,000 installation cost = ?

PW of $11,000 = Present worth of $11,000 installation cost = $11,000

r = interest rate = 10%, or 0.10

n = number of years = 4

Substitute the values into equation (3), we have:

FW of $11,000 = $11,000 * (1 + 0.10)^4

FW of $11,000 = $11,000 * 1.4641

FW of $11,000 = $16,105.10

Calculation of future worth of expected annual power costs of $800

The future worth of expected annual power costs of $800 can also be calculated using the formula for calculating the Future Value (FV) of an Ordinary Annuity as follows:

FW of $800 = M * (((1 + r)^n - 1) / r) ................................. (4)

Where,

FW of $800 = Future value of expected annual power costs of $800 =?

M = Expected annual power costs = $800

r = interest rate = 10%, or 0.10

n = number of years = 4

Substitute the values into equation (4), we have:

FW of $800 = $800 * (((1 + 0.01)^4 - 1) / 0.01)

FW of $800 = $800 * 4.060401

FW of $800 = $3,248.32

Calculation of total future worth of running an electric line

This is calculated by simply adding the FW of $11,000 and FW of $800 as follows:

Total future worth of running an electric line = FW of $11,000 + FW of $800 = $16,105.10 + $3,248.32 = $19,353.42

Therefore, the total future worth of running an electric line is $19,353.42.

c. Conclusion

Since the total future worth of running an electric line of $19,353.42 is less than the total future worth of solar cells is $24,132.22, it implies that it will be cheaper to run an electric line than to use solar cells. Therefore, running an electric line should be selected.

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