A competitive firm achieves equilibrium in a market that is competitive when the fixed market price equals the firm. The firm's maximum profits are $228.
60 + 2Q² is the total price. The derivative of the cost function with respect to the output is the marginal cost. Below is a calculation of the marginal cost.
MC = ΔTC / ΔQ = 4Q
When the marginal cost of production is equal to the price of $48 by the rival firm. The firm's production is computed in the table below.
MC = P
4Q = 48
Q = 12
The profit represents the discrepancy between the competitive firm costs and revenues. As calculated below, the profit.
π = TR - TC
π = PQ - 60 - 2Q²
π = 48 × 12 - 60 - 2 ×12²
π = 228
Hence, the profit is $228. Thus, the correct option is (B).
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Question:
You are the manager of a firm that sells its product in a competitive market at a price of $48. Your firm's cost function is C = 60 + 2Q2. Your firm's maximum profits are: a)192 b)228 c)348 d)576
question which of the following is necessary in a well-functioning capitalist economy but not in a command economy? responses centralized decision making centralized decision making scarcity of resources scarcity of resources monopolies monopolies protection of property rights protection of property rights positive externalities
The correct answer will be D. Protection of property rights and price signals.
Social costs and benefits are fully recognised within a well-functioning market. There are no consequential spillover effects. When the market achieves its efficiency, innovation, and consumer protection goals, it will also achieve any special public interest goals.
A healthy market competition is critical to the functioning of the US economy. According to basic economic theory, when firms compete for customers, it results in lower prices, higher quality goods and services, greater variety, and more innovation.
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xian manufacturing produces a unique valve, and has the capacity to produce 50,000 valves annually. currently xian produces 40,000 valves and is thinking about increasing production to 45,000 valves next year. what is the most likely behavior of total manufacturing costs and unit manufacturing costs given this change?
Since the company does have the ability to manufacture 50,000 valves, increasing supply from 40,000 to 45,000 will result in an increase in overall manufacturing costs, which will lower manufacturing costs per unit.
What is manufacturing?
Manufacturing is the process of creating or producing goods with the aid of resources such as machinery, labour, tools, chemicals, or biological formulations. It is the core of the economy's secondary sector. The phrase can be used to describe a variety of human endeavours, from handicraft to elevated, but it is most frequently used to describe industrial design, which entails the massive transformation of raw materials from of the primary sector into finished goods. Such products may be distributed through the tertiary industry to end users and consumers, sold to other manufacturers for the creation of other, more complex products (like aircraft, home appliances, furniture, sports equipment, or automobiles), or both .
Therefore, the correct option is (B) Total manufacturing cost will increase and unit manufacturing cost will decrease.
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whole grain bakery purchases an industrial bread machine for $29,000. in addition to the purchase price, the company makes the following expenditures: freight, $1,900; installation, $3,800; testing, $1,400; and property tax on the machine for the first year, $580. what is the initial cost of the bread machine?
The initial cost of the bread machine for a whole grain bakery is $36680
Purchase price of the machinery = $29000
The total cost of ownership, or TCO, is the overall cost of purchasing a piece of equipment. This cost includes all related expenses. For instance, factors like labour, materials, and parts all have an impact on the final price you'll pay. A machine that is more economical initially but ends up costing more in the long run.
Freight charges = $1900
Installation charges = $3800
Testing charges = $1400
Property tax on the machine for the first year = $580
Total cost of the machinery = Purchase price + Freight charges + Installation charges + Testing charges + Property tax
= 29000 + 1900 + 3800 + 1400 + 580 = $36680
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what two product factors affect production location decisions? question 3 options: a) cost to manufacture the product and the distribution requirements b) degree of customization required and economies of scale c) worker availability and prevailing wages in that country d) value-to-weight ratio and serving the same universal needs
Value-to-weight ratio and serving the same universal needs are factors affect production location decisions.
A product's value to weight ratio serves as a gauge for how much money it is worth per kilogram or pound. This is a crucial metric used in supply chain strategy and design. One of the most crucial elements, along with inventory holding expenses, is how a product will be delivered to its market and customers. It may also have an impact on the design, manufacture, and storage of products.
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darcy is leading the bcp effort for her organization and is currently in the project scope and planning phase. what should she expect will be the major resource consumed by the bcp process during this phase?
Amid the arranging stage, the foremost noteworthy asset utilization will be the time committed by individuals of the BCP group to the arranging handle itself.
What is the scope of BCP commerce progression arrange )?
BCP scope: The hardware, gadgets, supplies and staff who are influenced by the laid out crises, as well as which staff individuals or groups utilize these assets most. BCP spaces: The commerce basic chance zones, or divisions, whose parts and obligations will adjust beneath the trade coherence approach scope.
Commerce Affect Investigation (BIA) The primary step to building your company's BCP is to consider the potential affect of each sort of catastrophe or hazard occasion that your company may confront.
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xyz company sold merchandise for $5,000, with payment terms of 2/10,n/30. if the customer pays within the discount period and takes the discount, xyz will receive . multiple choice question. $3,500 $4,900 $5,000 $100
If the customer pays within the discount period and takes the discount, xyz will receive $4,900.
The customer can take a 2% discount and pay 4900 (=5000 - (2% x 5000)) xyz company sold merchandise for $5,000, with payment terms of 2/10,n/30. if the customer pays within the discount period and takes the discount, xyz will receive $4,900. The payment term is mentioned accordingly customer will receive discount.
The discount period which is allotted is matter a lot while receiving the discount because it was allotted for that period only.
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in october 2005, a company employs 8500 people and its total monthly wage bill is 11.9 million dollars. what is the average monthly wage of the company's employees?
Average monthly wage : 1400 dollars.
The company is growing at a rate of 25 employees per month.
The total monthly wage bill is increasing at a rate of 300 thousand dollars per month.
What is average monthly wage?The amount a person makes each month is their average monthly income. You may determine how much money you have available each month after taking off deductions like federal or income taxes by using your typical monthly income.
the meaning of. average salaries The ratio of the average usual weekly hours per full-time employee to the average usual weekly hours for all employees is used to calculate average earnings by dividing the total wage bill based on national accounts by the average number of employees in the entire economy.
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a 5.75 percent coupon bond with 12 years left to maturity is offered for sale at $978.83. what yield to maturity is the bond offering? (assume interest payments are paid semiannually and par value is $1,000.) multiple choice 3.00 percent 3.09 percent 5.75 percent 6.00 percent
The bond offering yields 6.00 percent to maturity.
The typical number of conversions per ad interaction is shown as a percentage. The conversion rate may be calculated by simply dividing the number of conversions by the total number of ad interactions that can be connected to a conversion during the same time frame.
The perforated portion of the statement at the bottom that you mail in with your payment is known as the payment coupon.
Present Value or Price of the bond, PV = $978.83
Total number of coupon periods, N = 12 x 2 = 24
Coupon Payment, PMT = FV x 5.75 ÷ 2
= -$28.75
CPT > I/Y = Rate or Yield (semiannual)
= 3.00
Convert Rate in annual and in % form = Yield x 2 ÷ 100
= 6.00%
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natural disasters can happen at any time and have unknown or incalculable effects. based on information from subject matter experts, the probability of a natural disaster is once every 75 years. using this information, what is the annualized rate of occurrence (aro) for a natural disaster affecting an organization?
0.013 is the annualized rate of occurrence (ARO) for a natural disaster affecting an organization.
Annualised Rate of Occurrence (ARO): An expected frequency of the hazard occurring over the course of a year is known as the Annualised Rate of Occurrence (ARO). ALE is computed using ARO (annualized loss expectancy).
The annualised rate is applicable for a specific amount of time (less than 12 months). It is a mathematical extrapolation of an estimated yearly returns rate. In order to determine it, multiply the monthly change in returns rate by 12 to obtain the annual rate.
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true or false: cumulative voting means board members are elected one at a time, with each shareholder casting his or her allotted votes for each seat on the board. true false question. true false
Cumulative voting means board members are elected one at a time with each shareholder casting his or her allotted votes for each seat on the board is false.
what is cumulative voting?
Companies use cumulative voting, also known as accumulation voting or weighted voting, a multi-voting system to ensure that shareholders are represented more fairly.Each shareholder has the right to one vote per share in cumulative voting, which is calculated by multiplying that number by the number of open director positions. The votes can be distributed in any way the shareholder chooses.
To give minority shareholders more power over how the board of directors election goes, cumulative voting is used.A shareholder can give all of their votes to a single candidate under cumulative voting.
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marketing researchers not only need to be skilled at gathering and analyzing data, but also at communicating results effectively because of: the multiple new types of traditional data and methods. the multiple new types of interactive resources. the multiple new types of social media. the multiple new types of data and methods now in use.
Marketing researchers not only need to be skilled at gathering and analyzing data, but also at communicating results effectively because of The multiple new types of data and methods now in use.
Market research, commonly referred to as "marketing research," is the procedure used to assess the feasibility of a new service or product by conducting study with prospective consumers. Market research enables a business to identify the target market and gather input from customers on their interest in the good or service as well as views.
This kind of research might be carried out internally, by the business itself, or through a different business that specializes in market research. Surveys, product testing, and focus groups are among methods that can be used. A small stipend or product samples are typically given as payment to test volunteers in exchange for their time. A new product or service's research and development (R&D) process must include market research as a key step.
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las vegas gold corporation reported net sales of $650,000, $720,000, and $780,000 in the years 2019, 2020, and 2021, respectively. if 2019 is the base year, what percentage do 2021 sales represent of the base?
A method for evaluating a series of financial statement data over time is horizontal analysis, also known as trend analysis.
The ability of a company to meet its short-term debt obligations can be assessed using a liquidity ratio. The current ratio, quick ratio, and cash ratio are the three primary liquidity ratios.
The most common methods for analyzing financial statements are circular, horizontal, and vertical analyses. Using horizontal analysis, a financial statement item in the current year can be compared to other items in the same year.
What are shareholders most concerned about?
Long-term creditors and stockholders, on the other hand, are primarily concerned with the company's profitability and solvency.
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the equilibrium price in this market is $2.50 and the equilibrium quantity is 25 units. if the government imposes a tax of $3 in this market, only 10 units will be sold, and the deadweight loss will equal:
The deadweight loss will be equal to $37.5, considering the equilibrium price and equilibrium quantity.
Given,
Equilibrium price = $2.50
Equilibrium quantity = 25 units
Tax imposed by government = $3
No. of units sold = 10
No of units remained unsold = 25-10 = 15
Deadweight loss = $15*$2.50 =$37.5
When market supply and demand are in harmony, prices become steady. This is known as price equilibrium. In general, a surplus of products or services results in lower prices which increases demand, while a shortfall or insufficient supply drives up prices, which diminishes demand.
A state of equilibrium is generated by the action of supply and demand balancing one another.
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july 1 beginning inventory 30 units at $60 5 purchases 180 units at $56 14 sale 120 units 21 purchases 90 units at $58 30 sale 84 units assuming that a perpetual inventory system is used, what is ending inventory (rounded) under the average-cost method for july?
$5508 is ending inventory (rounded) under the average-cost method for July. The cost of goods sold is the amount of sales that the company incurred as a result of the sold products.
The cost of goods sold is the amount of sales that the company incurred as a result of the sold products. This is used to calculate gross profit, which is calculated as sales minus cost of goods sold.
The average cost method determines the cost of inventory items by dividing the total cost of goods purchased or produced in a period by the total number of items purchased or produced. The weighted-average method is another name for the average cost method.
$5508 is ending inventory (rounded) under the average-cost method for July.
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What is telecommuting?
Answer:
Telecommuting is the practice of working from home using the internet, by including email, and using the telephone.
Explanation:
Answer: Telecommuting is the practice of working from home using the internet, by including email, and using the telephone.
Explanation: Its right for 4515Vs2 - Business Leadership -2019
Why is it often best to pay off credit card debt before other types of consumer debt or student loans?.
The interest rates on credit cards are typically greater than those on most other types of loans. In order to avoid interest from accruing, it is preferable to prioritize paying off credit card debt.
Is a credit card better to have than student loans?Take into account the interest rates on your credit card and school loans while determining the answer. If you carry a load on your card from month to month, McClary advises paying that off first as credit card debt is typically the debt with the highest interest rate that you are paying by nature.In order to prevent interest costs that are added to the balance month after month, it is often advisable to pay up your credit card balance before the due date. Only charge what you can afford to pay off each month is a crucial rule of thumb.Reasons to pay off debt Over time, you can lower the interest payment. If you have credit card debt with a high interest rate, this is especially beneficial. You might see an increase in your credit score. You may give your whole attention to saving and other financial goals once your debt is paid off.To Learn more About credit cards refer to:
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aaa co. sold merchandise to health co. on account, $18,000, terms 2/15, net 45. the cost of the merchandise sold is $15,500. aaa co. issued a credit memo for $1,750 for merchandise returned that originally cost $1,400. the health co. paid the invoice within the discount period. what is amount of net sales from the above transactions for aaa co.?
$15,925 is the number of net sales fro. m the above transactions for aaa co. Thus, option C is correct.
What are net sales?Net sales can be defined as the total about of sales that are being done by the company. It is the sales that have been acquired trump credit as well as cash or bank transactions.
The gross sale is $18,000
the sales return of the health company is $1750
Sales return = (gross sale - Sales returns) term%
= (18000-1750) * 2/100
=325
Amount of net sales = Gross sales - (sales return + sales discount)
= 18000-(1750+325)
= $15925
Therefore, option C is the correct option.
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The question is incomplete, the complete question is:
a.$16,250
b.$14,100
c.$15,925
d.$13,818
a bill called the working families flexibility act (h.r. 1180) was recently introduced in washington that would amend the flsa to permit private-sector employees the same options as those in the public sector. which of the following is a likely outcome of this bill? a. public-sector employees will only be permitted to receive extra pay when they work overtime. b. private-sector employees will only be permitted to receive non-monetary rewards when they work overtime. c. private-sector employees will be permitted to take time off rather than receive extra pay when they work overtime. d. public-sector employees categorized as direct employees will be permitted to receive extra pay for working overtime.
The outcome of the bill Working Families Flexibility Act (H.R. 1180) is that - Private-sector employees will be permitted to take time off rather than receive extra pay when they work overtime.
What is Working Families Flexibility Act?
The Working Families Flexibility Act will modify us Fair Labor Amendment of 1966 to give both employees and employers more leeway when it came to overtime labour. Instead of existing federal law that requires hourly employees to earn 1.5 times their regular pay for each hour worked over forty hours in a week, the Organized Labor Flexibility Act would enable employers to provide workers the option of receiving this conventional 1.5 times pay OR accumulating 1.5 hours of paid leave for each hour of extra hours worked. In other words, employees who value more time off to care for family members or even take a break in lieu of extra compensation will no longer be barred from pursuing a flexible paid vacation option from their employers under federal law.
Therefore, the correct option is C
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which of the following statements is (are) true? i. a mutual fund uses money from one customer and invests it in many securities in exchange for a management fee. ii. mutual funds can only be actively or passively managed. iii. the efficient market hypothesis states that the prices of traded assets, such as stocks and bonds, reflect all publicly available information.
A mutual fund is a group of investments that is expertly supervised by a fund manager. a trust that, after receiving funds from a number of participants who share similar investing objectives, invests them in stocks, bonds, money market instruments, and/or other securities.
Explain about the mutual fund?In general, mutual funds are considered to be a secure investment and an excellent way for investors to diversify with little risk. A mutual fund may not always be the best option for a market participant, particularly when it comes to costs.
The average annualized return for 2021, when taking a look at the seven major types of mutual funds, was 11.54%. The strongest returns for investors came from large-cap stock funds, which outperformed many other types of accounts, including certificates of deposit (CDs), high-yield savings accounts, and even real estate.
The investor is not subject to taxation on dividends received from equities mutual funds, however the asset management company (AMC) is subject to DDT at a rate of 11.648%. Tax on debt mutual funds - A minimum holding time of three years is required to qualify for short-term capital gains in debt funds.
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In general, mutual funds are considered to be a secure investment and an excellent way for investors to diversify with little risk. A mutual fund may not always be the best option for a market participant, particularly when it comes to costs.
what is mutual fund?In general, mutual funds are considered to be a secure investment and an excellent way for investors to diversify with little risk. A mutual fund may not always be the best option for a market participant, particularly when it comes to costs.The average annualized return for 2021, when taking a look at the seven major types of mutual funds, was 11.54%. The strongest returns for investors came from large-cap stock funds, which outperformed many other types of accounts, including certificates of deposit (CDs), high-yield savings accounts, and even real estate.The investor is not subject to taxation on dividends received from equities mutual funds, however the asset management company (AMC) is subject to DDT at a rate of 11.648%. Tax on debt mutual funds - A minimum holding time of three years is required to qualify for short-term capital gains in debt funds.To learn more about mutual fund refer to:
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you own a beverage company and have a few different types of beverages on the market. one of the diet sodas isn't doing as well as your other sodas and you want to see what you can do to increase your sales. after conducting some research, you see that 80% of your total potential market (100%) is aware of your product. furthermore, 75% have adequate knowledge about your product and 65% say they like the product. half say they intend to buy the product and 45% of the market actually buy it. what aspect of the hierarchy of effects should be the promotional objective?
The goal of promotional campaigns should be to increase the number of people who plan to purchase.
What are the promotional objectives? What are a few examples of promotional objectives?Promotional Goals are a component of a comprehensive marketing plan. The initial stage of a marketing campaign is developing a brand identity with visuals and phrases. This is followed by expanded messaging sent either directly through personal email marketing communications or through social media.
Making items and services more in demand. A retailer might do this by advertising a sale in order to increase foot traffic.
Why is it vital to have a promotional goal?Advertising and other marketing communications have goals known as promotional objectives. Marketing plan must include market promotion. Today's marketers frequently employ this potent tool to attain their marketing objectives in a cutthroat market.
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joey, age 49, who is single, is not covered by another qualified retirement plan and earns $131,000 (agi is $131,000) in 2022. how much can he contribute to a traditional ira in 2022?
Based on the fact that Joey is single and is not covered by another qualified retirement plan, as well as his earnings, the amount he can contribute to a traditional IRA in 2022 is $5, 200.
How to find the amount to contribute?The formula for the amount that a single person can contribute to their traditional IRA according to tax laws in 2022 is:
= Traditional IRA limit for 2022 single fliers x (144, 000 - Annual earnings) / ( 144, 000 - 129, 000)
The Traditional IRA limit for 2022 single fliers is $6, 000.
This means that the amount that Joey can contribute to a traditional IRA in 2022 is:
= 6, 000 x (144, 000 - 131, 000) / (144, 000 - 129, 000)
= $5, 200
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which of the following types of markets is more efficient (greater overall gains from trade): a) a monopolist who does not price discriminate and has to charge a uniform price b) first-degree price discrimination
First-degree price discrimination markets are more efficient.
What is First-degree price discrimination?Price discrimination is categorized into three types: perfect price discrimination, second-degree price discrimination, and third-degree price discrimination. These price discrimination tiers are also known as personalized pricing (first-degree pricing), product versioning or menu pricing (second-degree pricing), and group pricing (third-degree pricing) (3rd-degree pricing).
First-degree discrimination occurs when a company charges the greatest possible price for each unit consumed. Because prices vary among units, the corporation keeps all available consumer surplus or economic excess for itself. Many sectors that provide client services engage in first-degree price discrimination, which occurs when a business charges a different price for each product or service given.
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when project managers analyze tasks involved in completing a project, estimate time needed for each task, and estimate the minimum time needed to complete the project, they are applying what tool to operations management?
Project managers use PERT for operations management when they examine the tasks involved in finishing a project, estimate the time needed for each work, and determine the minimal time needed to finish the project.
PERT stands for program evaluation and review technique. What do you mean by that?PERT, also known as the Program Evaluation Review Technique, is a visual tool for project planning. The method makes it easier for project planners to determine start and finish dates as well as interim tasks and deadlines.
What is the purpose of the PERT method?A graphical representation of a project's timetable, known as a program evaluation review technique (PERT) chart, lists each individual activity required to complete the project. Because it shows job dependencies, the PERT chart is frequently preferred to the Gantt chart as a project management tool.
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according to the tannenbaum and schmidt model of situational leadership, what are the factors managers should consider before deciding how to lead? (choose every correct answer.)
The relationship between a manager's level of power and the degree of flexibility they decide to give their workforce is depicted by the Tannenbaum and Schmidt continuum. As the team's flexibility increases, the manager's authority should decrease.
Robert Tannenbaum and Warren Schmidt, contingency theorists, claimed that leadership behavior varies along a continuum and that the level of follower involvement and participation in decision-making grows as leaders move away from the authoritarian extreme (1958, 1973).
Taylor and Schmidt The manager's amount of power and the degree of flexibility they grant their staff are correlated, as shown by the continuum model.
According to the follower, the situational leadership model tackles four different leadership philosophies: selling, telling, and influencing.
Participating.
Delegating.
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What are the additional costs you pay each year in order to borrow money in loans? this includes both interest and fees.
Interests are the additional costs you pay each year in order to borrow money in loans.
Therefore, the cost of borrowing refers to the predominant quantity of the mortgage + the interests + the charges that you have to pay for that mortgage and the entire amount equals what is referred to as the fee of borrowing. The cost of borrowing needs to be disclosed without a doubt to borrowers before ultimate the transaction.
Amortization suggests us the actual fee of borrowing. With an amortization agenda like the one shown above, it is clear to see exactly how tons you owe to the hobby. A brief observation your the cumulative value of your hobby can be eye-beginning.
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what is the value of company x stock if the dividend next year will be $3 and is expected to grow at a rate of 4% forever if your required return is 10.42%
The value of company x stock is USD 46.73
How do stocks work?A sort of security known as a stock represents a small portion of ownership in a company. When you purchase shares of a firm, you gain a fractional ownership stake in it. Investors invest in shares they believe will go up in value. In a case like this, company's shares value also rises. After then, the stock can be sold at a gain.
Nasdaq or the New York Stock Exchange are stock market exchange where publicly traded corporations sell their stock.
Stock investment helps the investors to grow their money over a period of time and also outpace inflation.
Shares can be purchased and sold by investors through stockbrokers. The supply as well as demand of every company's shares are looked by the stock exchanges directly impacting the price of the stock.
To solve the question :
D= 3
g= 4
r= 10.42
3/(.1042-.04)= 46.73
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bill buyer and sam seller have a contract with an inspection objection deadline of may 1. bill undertakes inspections and notifies sam on the morning of may 2 that he objects to a hole in the roof and asks sam to repair it. sam refuses to fix it. what are the parties' rights? the contract has a liquidated damages provision.
Bill may cancel the agreement, but he will forfeit the earnest money deposit. a clause in a contract that requires a party in breach to compensate the other party with a predetermined sum of money in exchange for the breaching party's failure to carry out a certain job or adhere to a specific duty or obligation.
What sort of damage is considered liquidated?When a person or bank lends money in the form of a loan and the allotted period for payback expires before the payment is finished, that is an example of liquidated damages. According to the terms of the contract, the party who is in default must make up for this harm.
What is a liquidated losses provision, and under what circumstances might it be void?The liquidated damages provision aids in compensating parties for anticipated contract breaches. It compensation payment is too large in relation to market value, it is no longer enforceable.
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what are the advantages of unionization? check all that apply. unions can help employees increase their job tenure, performance, and earnings. unions give employees the opportunity to give feedback to management. unions can help organizations allocate resources more effectively. unions provide a balance for the power of managers.
The advantages of unionization are unions can help employees increase their job tenure, performance, and earnings. Unions give employees the opportunity to give feedback to management.
Union members work together to barter and enforce a contract with the control that ensures the stuff you care about like first-rate raises, lower-priced fitness care, job protection, and a strong timetable. higher workplaces and operating conditions without the fear of retaliation.
The main reason for labor unions is to provide workers the power to negotiate for extra favorable running conditions and other advantages through collective bargaining.
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buying stock with a market order you would like to buy shares of ralph lauren (rl). the current bid and ask quotes are $85.13 and $85.20, respectively. you place a market buy-order for 500 shares that executes at these quoted prices. how much money did it cost to buy these shares? multiple choice $42,600 $35 $42,565 $85,165
Investors that trade funds for these units to reflect equity ownership in a company or financial asset are the owners of shares. Voting rights and potential profits from price growth and dividends are made possible by common shares.
Explain about the shares in market ?Shares are fractional ownership interests in a corporation. For some businesses, shares are a type of financial instrument that allows for the equitable distribution of any declared residual profits in the form of dividends. A stock with no dividend payments does not distribute its income to its shareholders.
The smallest unit of stock in a firm is called a share. Therefore, shares is the proper noun to use when assigning stock and referring to certain characteristics. Technically speaking, shares are equivalent to stock units. Several classifications of a company's shares are referred to as "common" and "preferred" shares.
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in 1903, the winner of a competition was paid $50. in 2020, the winner's prize was $235,000. what will the winner's prize be in 2040 if the prize continues increasing at the same rate? (do not round intermediate calculations. round your answer to the nearest $500.)]
In 2040, the award would be worth $1,293,986.
The annual growth rate can be computed as if it were compound interest.
The award increases from $50 to $235,000 during the following period, which is 2017–1903–114 years.
We may then determine this rate r as follows:
FV = PV (1+r)^n
r = [tex]\sqrt[n]{FV/PV}[/tex] -1
r = [tex]\sqrt[11.4]{235000/50}[/tex] - 1
r = 1.077
The award can then be calculated from 2017 to 2040, with the increase occurring at the same rate.
The number of periods is n=2040-2017=23.
Then we have:
FV = PV (1+R)^N
FV =235000(1.077)^23 = 1293986
The prize in 2040 would be $1,293,986.
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