A furniture manufacturer makes two types of furniture: chairs and sofas. The production of the sofas and chairs requires three operations: carpentry, finishing, and upholstery. Manufacturing a chair requires 3 hours of carpentry, 9 hours of finishing, and 2 hours of upholstery. Manufacturing a sofa requires 2 hours of carpentry, 4 hours of finishing, and 10 hours of upholstery. The factory has allocated at most 66 labor hours for carpentry, 180 labor hours for finishing, and 200 labor hours for upholstery. The prfit per chair is $90 and the profit per sofa is $75. The manufacturer wants to know how many chairs and how many sofas should be produced each day to maximize the profit.
Formulate a linear programming (LP)problem you would use to find a solution.

Answers

Answer 1

Step-by-step explanation:

let chairs be C and sofas be S

The objective function is

Maximize

90C+75S=P

The constraints are

carpentry

3C+2S=66------1

finishing

9C+4S=180-----2

upholstery

2C+10S=200-----3

C>0, S>0

The linear programming is

3C+2S=66

9C+4S=180

2C+10S=200


Related Questions

What is pls help meeee6x+4

Answers

Answer:

2(3+2)

Step-by-step explanation:

someone pls help, find the length of the segment

Answers

the segment is 4 units long

hope this helps

The segment is 4 units long

what are the slopes of the two lines?

Answers

Step-by-step explanation:

The slopes of two lines are equal

Use technology to solve the following problem: The lifetime of a certain type of automobile tire (in thousands of miles) is normally distributed with mean μ = 38 and standard deviation σ = 7. What proportion of tires have lifetimes between 36 and 46 thousand miles?

Answers

Answer:

0.4859

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ,

where x is the raw score,

μ is the population mean, and

σ is the population standard deviation.

From the question:

mean μ = 38,000

standard deviation σ = 7,000

For.

36 ( thousand miles) = 36,000

z = (x-μ)/σ

z = 36,000 - 38,000/7000

z = -0.28571

Probability value from Z-Table:

P(x = 36000) = 0.38755

For 46 thousand miles = 46,000

z = (x-μ)/σ

z = 46,000 - 38,000/7000

z =1.14286

Probability value from Z-Table:

P(x = 46000) = 0.87345

The proportion of tires that have lifetimes between 36 and 46 thousand miles is calculated as:

P(x = 46000) - P(x = 36000)

0.87345 - 0.38755

= 0.4859

An experiment consists of determining the speed of automobiles on a highway using a radar equipment. The random variable in this experiment is a:

Answers

Answer:

the speed value that the radar equipment outputs.

Step-by-step explanation:

A random variable in an experiment is also (and most times the case) called a dependent variable. In this scenario, the random variable would be the speed value that the radar equipment outputs. This is because this value depends on the actual velocity of the cars that pass by the equipment. The faster the car is moving when it passes the radar the higher value will be displayed on the equipment. Therefore, depending completely on the vehicles.

Use synthetic division to find f(2)

f(x) = 2x3 –3x²+7X-12​

Answers

Step by Step Solution:

More Icon

STEP

1

:

Equation at the end of step 1

 

STEP

2

:

           x3 + 3x2 - 7x - 12

Simplify   ——————————————————

                 x + 4        

Checking for a perfect cube :

2.1    x3 + 3x2 - 7x - 12  is not a perfect cube

Trying to factor by pulling out :

2.2      Factoring:  x3 + 3x2 - 7x - 12  

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -7x - 12  

Group 2:  x3 + 3x2  

Pull out from each group separately :

Group 1:   (7x + 12) • (-1)

Group 2:   (x + 3) • (x2)

1 result(s) found

x  

2

−x−3

What is the z-score for Paula If she got 1400 on the SAT, the mean was 1100 and the
standard deviation was 275?

Answers

Yea it is 275 with standard subtract
1400-deviation=275

you just purchased a new hooded sweatshirt for $24. the total cleaning cost is $2 total because it will be washed with other sweatshirts. you will wear the sweatshirt 18 times this winter. calculate the cost per wearing.

Answers

Answer:

Step-by-step explanation:

espera y termino y te ayudo vale que me falta poco vale

Find the value of x. 4^3 = x

Answers

Answer:

x=64

Step-by-step explanation:

Set up a system of linear equations, and then solve for the indicated quantities.
Three times the smaller of two numbers plus three times the larger number is – 15.
Six times the smaller number minus three times the larger number is – 21.
Find the numbers.
Let x represent the smaller number. Let y represent the larger number.

Answers

9514 1404 393

Answer:

smaller: -4larger: -1

Step-by-step explanation:

Substituting the given variables into the word problem, we have two equations:

  3x +3y = -15

  6x -3y = -21

Adding these equations eliminates y:

  9x = -36

  x = -4 . . . . divide by 9

Using this in the first equation, we have ...

  3(-4) +3y = -15

  -4 +y = -5 . . . . . divide by 3

  y = -1 . . . . . . . . . add 4

The smaller number is -4; the larger is -1.

7. Make a box and whisker plot of the following data. Show your work as to how you calculated the different key points on the box-and-whisker plot.

21, 25, 30, 27, 22, 23, 23, 24, 26, 28, 25, 22, 23

Answers

Answer:

Oh boy this is a lot of work

Step-by-step explanation:

So 1st thing 1st, order the numbers from least to greatest. Then, find the median (which is the middle number). After that find the 1st Quartile and 2nd Quarile (you have to find the middle of the first half and the middle of the second half if it is two numbers, add them up and divide it by 2). Also, find the greatest and the least numbers. Then make the box and whisker plot. Since i can't make the full plot in brainly i will give you the steps to make it.

Make a number line. Label it from the least number which is 21 to the greatest number which is 30.Make a box from the 1st quartile which is from 33.5 to 39.5.Split the box on number 24.Make the whiskers which mean make a straight line from the left of the box to the least number which is 21 and make another straight line from the right of the box to the greatest number which is 30.That's all the step to make a box-and-whisker plot!

Hope this helped.

can someone tell me what my GPA is.

Answers

Answer:

probably 5.00

Step-by-step explanation:

maybe a 4.0 or higher cuz those r really good grades

What is the sum of (2x2 + 5x -3) and (-3x2 -10 + x2)​

Answers

Answer:5x-13

Step-by-step explanation:

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[tex](2 {x}^{2} + 5x - 3) + ( - 3 {x}^{2} + {x}^{2} - 10) = \\ [/tex]

[tex]2 {x}^{2} - 2 {x}^{2} + 5x - 3 - 10 = [/tex]

[tex]5x - 13[/tex]

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Solve the formula d = rt for t.
A. t=d/r
B. t= rd
c. t= r/d
D. t= d-r

Answers

It’s A t=d/r

Steps
Dr=t swap the sides
T=dr

Answer:

A,t=d/r

Step-by-step explanation:

if d=rt t=?

d/r=rt/r (to get alone t we devided by r on both sides)

d/r=t

i think it is clear

&i hope it helps you

6m + 4n + 3m - 6

What is the expression in simplest form

Answers

9m+4n-6 thats the answer
9m+4n-6

you only add the like terms 6+3

-9|-x+5|=0
Solve for x.

Answers

Answer:

x=5

Step-by-step explanation:

-9|-x+5|=0

Divide by -9

|-x+5|=0

The are normally two solutions, one positive and one negative, but +0=-0=0

-x+5 =0

Add x to each side

-x+5+x =0+x

5 =x

2) Jamie studies her Social Studies vocabulary for 30 minutes and studies 15
her Math problems for 15 minutes. After several days, she has studied her
Math problems for 60 minutes. How many minutes did Jamie study her
Social Studies vocabulary in the same time period?"
Your answer
This is a required question​

Answers

Answer:

2 hours or 120 minutes

Step-by-step explanation:

So, let's assume that she studies the same amount each day. If she has studied math for a total of 60 minutes, she should have studied for 4 days because 60 (total) divided by 15(time each day) would equal to 4 (period of time). So we have to multiply 30 minutes by 4 (period) to get 120 minutes, which is 2 hours.

Solve for x:

20- 3x= -3(x-8)​

Answers

Answer:

[tex]20 - 3x = - 3( x - 8) \\ 20 - 3x = - 3x + 24 \\ - 3x + 3x = 24 - 20 \\ 0 = 4[/tex]

It does not have any answer.

Danielle put 4.902 gallons of gasoline in a gas tank. What is 4.902 written in expanded form?

Answers

4.902

4= ones
9= tenths
0= hundredths
2= thousandths

Dominique has $13.75 in her piggy bank. All of the money are quarters. How many quarters are in the piggy bank?

Answers

Answer: I think its 0.55

Step-by-step explanation: if you do 25 times 0.55 because quarter's are 25 cents it equals 13.75

The number of quarters in the piggy bag will be 55.

What is unit conversion?

Multiplication or division by a numerical factor, selection of the correct number of significant figures, and unit conversion are all steps in a multi-step procedure. Unit conversion is the process of changing a quantity's measurement between different units, frequently using multiplicative conversion factors.

Given that Dominique has $13.75 in her piggy bank. All of the money is quarters.

The number of the quarters will be calculated as:-

1 dollar ⇒ 4 quarters

13.75 dollars ⇒ 13.75 x 4 quarters

13.75 dollars ⇒ 55 Quarters

Therefore, the number of quarters in the piggy bag will be 55.

To know more about unit conversion follow

https://brainly.com/question/15661961

#SPJ6

A=1/2h(a+b), solve for a

Answers

Step-by-step explanation:

2A=h(a+b)

2A=ha+hb

2A-hb=ha

2A-hb/h=a

Multiply by 2 on both sides to get:
2A = h(a + b)

Divide by h on both sides to get:
2A/h = a + b

Subtract b from both sides to get:
(2A/h) - b = a

What is the value to the expression -2.1(4.7+(-7.4))

Answers

The correct answer is 5.67
Someone said 5.67 so

Can you help me identify where I went wrong? I'm having trouble understanding this concept and I need to in order to understand what I will be learning next, thank you!

Answers

Step-by-step explanation:

Your work is correct.  First, you graphed the region.  The minimum or maximum is always at the corner, which you found to be (3.08, 3.64).

The value of C at this point is C = 14.

help please i need helpp​

Answers

I think it’s 28,800 I’m not sure but I think if I’m wrong sorry

A student receives a gift card and decides to purchase medium coffees on it at the same coffee shop daily until her
funds are depleted. After purchasing two coffees, her balance is $23.28 (2, 23.28). After buying five coffees, her
balance is $13.20 (5. 13.20). How many total coffees can she buy on the gift card? What was the original balance on
the gift card? Use the graph and table below to help construct a linear function representing this scenario. Type your
solutions in the text box.

Answers

Answer:

4x4=shaggy

Step-by-step explanation:

Consider the diagram.
What is the length of segment AB?
A) 7
B) 9
C) 18
D) 25

Answers

Answer:

the answer is 9

Step-by-step explanation:

Answer: the correct answer is 9!!!!!

Please help! I will give brainliest

Answers

Answer:

3

Step-by-step explanation:

as x is bigger than 0in which x is maximum and 0 is minumum

Use the figure to decide the type of angle pair that describes 4 and 5

Answers

Answer:

Alternate interior angles

Step-by-step explanation:

Angles 4 and 5 are alternate interior angles

Three workers arrive at work 15 minutes late, at a cost of $11 hour.

Answers

Answer:

They earned 8.25

Step-by-step explanation:

If they arrived late 15 minutes, then they lose a 1/4 of the pay. So they'd be making $8.25, and not the full $11 for that first hour.

PLEASE HELP ASAP!!
There are 800 students who attend Park Middle School. There are 1.5 times as many boys as there are girls.
x is boys
y is girls
800=1.5x=y
Determine how many boys and girls attend Park Middle School. Round to the nearest whole number if necessary. Show your work.

Answers

Answer:

320 boys; 480 girls

Step-by-step explanation:

Here is the correct system of equations you can write for this equation:

1.5x=y

x+y=800

x+1.5x=800

2.5x=800

x=320

320+y=800

y=480

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