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

Which measure is equivalent to 126 in.?



1 ft = 12 in.

1 yd = 3 ft

Answers

Answer:

3.5 yd is your answer

Step-by-step explanation:

First, change in. to ft. Note that the measurement given to you is that 1 ft = 12 in.

Divide the amount of inches you have with 12.

126/12 = 10.5

Next, solve for yards. It is given to you that 1 yard = 3 feet.

Divide the amount of feet you have with 3.

10.5/3 = 3.5

3.5 yd is your answer

What is the ratio of the two quantities? Warning: different units! a 4 seconds to 2 min

Answers

Answer:

17:420

Step-by-step explanation:

17 seconds : 7 minutes

7 minutes = 420 seconds

17:420

The ratio of time measurements in two different units is 1/30.

What is Ratio?

Ratio is the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.

Given are the time measurements in two different units.

Converting 2 minutes into seconds -

2 min = 2 x 60 = 120 seconds

Now, 4 seconds to 120 seconds can be written as fraction below -

x/y = 4/120 = 1/30

Then, the ratio will be -

x : y = 1 : 30

Therefore, the ratio of time measurements in two different units is 1:30

To solve more questions on Ratios, visit the link below-

https://brainly.com/question/8169882

#SPJ2

There are 252 players on 18 teams. How many players are on each team?

Answers

there are 14 players on each team

Answer:

14

Step-by-step explanation:

252 divided by 18 = 14

hope this helps! :D

if x=2+ root 3 then find the value of (x-1/x)^3​

HELP ASAP

Answers

Answer:

10 and ten-elevenths

Step-by-step explanation:

x = 2 + _/3

(x-1/x)^3

(2+_/3)^3 - (1÷2+_/3)^3

= (8 + 3) - 1 ÷ (8 + 3)

= 11 - 1/11

= 10 10/11

This problem illustrates the limit derivation of a Poisson distribution from Binomial distributions. Suppose an average of 66 arrivals occur during a 30 minute interval. To count arrivals, divide the 30 minute interval into nn sub-intervals. On the previous problem, you found the probability pp of one arrival during a single sub-interval for each n given. Now, compute the (estimated) probability that there will be, in fact, exactly 6 arrivals during a 30 minute interval, with each probability model:

a. Using Binomial with n=30, the chance of 6 arrivals is estimated as:__________
b. Using Binomial with n=60, the chance of 6 arrivals is estimated as:__________
c. Using Binomial with n=100n=100, the chance of 6 arrivals is estimated as:________
d. Using Poisson, the chance of 6 arrivals is estimated as:________

Required:
Use a probability calculator, and enter answers in decimal form, rounded to at least four places after the decimal.

Answers

Answer:

1. 0.1795

2. 0.1693

3. 0.1657

4. 0.1606

Step-by-step explanation:

This problem was solved using the binomial distribution

1.

N = 30

P = 6/30 = 0.2

Using binomial distribution

30C6 x 0.2⁶ x 0.8²⁴

= 593775 x 0.000064 x 0.004722

= 0.1795

2.

N = 60

P = 6/60 = 0.1

60C6 x 0.1⁶ x 0.9⁵⁴

= 50063860 x 0.000001 x 0.00338139

= 0.1693

3.

N = 100

100C6 x 0.06⁶ x 0.94⁹⁴

= 1192052400 x 0.000000046656 x 0.00297864

= 0.1657

4.

Poisson distribution was used here

e^-6(6)⁶/6!

= 0.1606

no matter what answer i put in it always tells me I'm wrong so can someone actually help

Answers

Answer:

[tex]\frac{1}{9}[/tex]

Step-by-step explanation:

[tex]\frac{1}{3^2}=\frac{1}{3} *\frac{1}{3} =\frac{1}{9}[/tex]

This is a 2x2 identity matrix:
True
Or
False

Answers

Answer:

True

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Which figure shows the net of a rectangular pyramid?

Answers

Answer:

d

Step-by-step explanation:

. The net of a pentagonal pyramid consists of one pentagon and five triangles. The pentagon is the base of the pyramid, and the triangles are the lateral faces.

Answer:

D

Step-by-step explanation:

The net of a pentagonal pyramid consists of one pentagon and five triangles. The pentagon is the base of the pyramid, and the triangles are the lateral faces.

Your brother won 7 packages of colored candies with 24 pieces each. According to manufacture. For each 1 blue piece produced. The company makes 3 brown. 2 yellow. 2 red. 1 orange and 1 green. How many of each color do you expect to find in your brothers candy?

Answers

Answer:

16.8  or 17 blue

50.4  or 50 brown

33.6  or 34 yellow

33.6  or 34 red

16.8  or 17 orange

16.8  or 17 green

Step-by-step explanation:

7 x 24 = 168 candies

blue = b

brown = w

yellow = y

red = r

orange = o

green = g

1b = 3w + 2y + 2r + 1o + 1g

1 +3 + 2 + 2 + 1 + 1 = 10

168/10 = 16.8

1(16.8) +3(16.8) + 2(16.8) + 2(16.8) + 1(16.8) + 1(16.8) =

16.8 blue

50.4 brown

33.6 yellow

33.6 red

16.8 orange

16.8 green

2. If Mrs. Esposito drove 585 miles to North Carolina in 9 hours, what speed was she driving? (miles per hour) a. 55 mph b. 60 mph c. 58.5mph d. 65mph

Answers

Your answer is 65

Step-by-step explanation:

You need to divide 585 by 9 the answer is 65

The equation 5y=6 represents purchasing 5 tubs of yogurt for $6 In this
equation, what does the solution represent?

Answers

5y-the tubs of yogurt

$6-how much the yogurt costed in total

Which expression is equivalent to |-5| + |3|?

Answers

The answer is 8 Do Good to

Answer:

5+3 =8

Step-by-step explanation:

absolute value

Raise to the power: (–2abx)4

Answers

Answer:

(16a^4b^4x^4)

Step-by-step explanation:

i need help solving for x

Answers

Your welcome.
Ask if you didnt get it.
The person above me is right

The manager of an automobile dealership is considering a new bonus plan designed to increase sales volume. Currently, the mean sales volume is 14 automobiles per month. The manager wants to conduct a research study to see whether the new bonus plan increases sales volume. To collect data on the plan, a sample of sales personnel will be allowed to sell under the new bonus plan for a one-month period.
A. Which form of the null and alternative hypotheses most appropriate for this situation.
B. Comment on the conclusion when H0 cannot be rejected.
1. No evidence that the new plan increases sales.
2. The research hypothesis ? > 24 is supported; the new plan increases sales.
C. Comment on the conclusion when H0 can be rejected.
1. No evidence that the new plan increases sales.
2. The research hypothesis ? > 24 is supported; the new plan increases sales.

Answers

Answer:

A) Null Hypothesis: H0: μ ≤ 14

Alternative hypothesis: Ha: μ > 14

B) If the null hypothesis H0 is not rejected, it means that there is no sufficient evidence to support the claim that new bonus plan increases

sales volume.

C) If the null hypothesis is rejected, it means there is sufficient evidence to support the claim that the new bonus plan increases sales volume

Step-by-step explanation:

A) We are told that the mean sales volume is 14 automobiles per month.

The hypotheses is defined as follows;

Null Hypothesis: H0: μ ≤ 14

Alternative hypothesis: Ha: μ > 14

B) If the null hypothesis H0 is not rejected, it means that there is no sufficient evidence to support the claim that new bonus plan increases

sales volume.

C) If the null hypothesis is rejected, it means there is sufficient evidence to support the claim that the new bonus plan increases sales volume.

• Number Sense Write an addition
sentence and a multiplication
sentence to solve this problem.
Jessie bought 4 packages of colorful
stones to put in the fish bowl. There
are 6 stones in each package. How
many stones did Jessie buy?

Answers

Answer:

addition sentence is 6+6+6+6=24

multiplication sentence is 6×4=24

Step-by-step explanation:

hope this helps

What is this variable? 3/4a — 6 = 4+3a

Answers

The answer is
a= -40/9

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
a) Simplify the expression and explain each step. (2 points)
4(3x+2)−2
b) Factor the expression completely. (1 point)
20b−16

Answers

Answer:

Step-by-step a) Simplify the expression and explain each step.

4(3x + 2) - 2

b) Factor the expression completely.

20b - 16

The regular admission price for an amusement park is $72. For a group of 15, or more, the admission price is reduce by $25 per person. How many people need to be in a group to save $500?

Answers

Answer:  20 people

=========================================

Explanation:

x = number of people

Without the discount, each person pays $72, so the total cost is 72x dollars if x people go through the gate individually.

Now applying the group discount, those x people pay 72-25 = 47 dollars each. Meaning the total cost is now 47x. Keep in mind that [tex]x \ge 15[/tex] in order for the discount to kick in.

Subtracting the two amounts leads to 72x-47x = 25x. It is not a coincidence that we get a coefficient of 25 here.

Set this equal to 500 and solve for x

25x = 500

x = 500/25

x = 20

------------

If x = 20 people attend individually, then they pay 72*x = 72*20 = 1440 dollars.

If 20 people go as one group, they pay 47x = 47*20 = 940 dollars

We have a savings of 1440-940 = 500 dollars. This confirms the answer.

All 20 people must go as one group if they want to save $500.

Find the percent of:

17% of 155 and.....

24% of 780

Answers

Answer:

17% of 155 is 26.35

24% of 780 is 187.2

Which expression is equivalent to (65) (62)?
о
610
615

Answers

Answer: 615

Step-by-step explanation:

PLEASE ANSWER THIS ASAP! SUPER EASY! PLEASE PLEASE WILL MARK YOU BRANLIEST!

Answers

the answer should be the second one

find the 13 term
7 la For the sequence 11,13,15,17​

Answers

well i don’t understand your question but the pattern is infinitely (+2) the next 3 terms are 19,21,23

3252614683754629158741032465x93756356872264881+432757232878247-3243566=

Answers

Answer:

bout 7

Step-by-step explanation:

Answer:3.049533e+44 to be exact

Step-by-step explanation:

A professor of philosophy hypothesizes that an introductory course in logic will affect college students with their other studies. To test this hypothesis, a random sample of 25 first year students is selected. These students are required to complete a logic course during their first year. At the time of graduation, the final GPA is computed or each of these students. The mean GPA for this sample is 2.58 with a SS of 6.

Required:
Can the professor conclude that the grades for the sample were significantly different from the rest of the graduating class, which had an average GPA of 2.33?

Answers

Answer:

NO.

Step-by-step explanation:

The Professor's hypothesis:

An introductory course in Logic will affect college students with their other studies (will affect their Great Point Average - GPA).

25 students are used as the experimental group while the rest of the class are the control group.

The mean GPA in a sample size (SS) of 6 is = 2.58

The mean GPA in the full sample size of 25 would be = 10.75 by crossmultiplying.

This makes me believe the question was written wrongly. I assume SD (standard deviation) of 0.6 instead of SS (sample size) of 6.

Going by this, if standard deviation is 0.6 then the interval within which the GPA of the experimental group (the 25 students) falls is:

[2.58 - 0.6] to [2.58 + 0.6]

= 1.98 to 3.18

The rest of the graduating class (the control group) had a mean GPA of 2.33

Can the professor conclude that the GPA for the sample is significantly different from that of the control group?

The answer is NO because the GPA of the control group falls within the GPA interval of the experimental group!

is (5,15) a solution of the equation y= 3x? (plz answer asap)

Answers

Answer:

Yes

Step-by-step explanation:

15 = 3(5)

15 = 15

You plug in the point

The ___ is the part of the neuron that carries information away from the cell body.

Answers

Answer:

axons

Step-by-step explanation:

The axons  is the part of the neuron that carries information away from the cell body.

Answer: axon

Step-by-step explanation:

I just know cause I'm a different breed

If product of two numbers=384HCF=8,2cm=?​

Answers

Answer:

96 and 288

Step-by-step explanation:

So, we need to find 2 numbers such that their sum is 8 and they do not have common factor (Relatively prime). Both these numbers will be divisible by 48 but there would be no other common divisor (after dividing by 48).

Such order independent pairs are (1,7) and (3,5).

Difference between them would be (7–1)*48=6*48 and (5–3)*48=2*48 respectively.

The differences are 6*48=288 and 2*48=96.

We have found difference without finding numbers.

Ans.: 96 and 288

p.s.: The number pairs (again order neutral) would be (48, 336) and (144, 240)

Difference for 48 and 336 add up to 384, their HCF is 48. These two numbers match the conditions. Their difference is 288.

Difference of 144 and 240 add up to 384, their HFC is 48 (the numbers are 48*3 and 48*5, common factor is 48 and no other common factor for 3 and 5; 48 is HCF). The difference is 96.

Which of the following statements describes the value of the expression 35 – 2x, when x = 6?

Answers

Answer:

35-2(6)

= 23

Prime number

Step-by-step explanation:

Answer:

23 . It is a prime number.

Step-by-step explanation:

[tex]35 - 2x \\ x = 6 \\ \\ 35 - 2(6) \\ = 35 - 12 \\ [/tex]

Simplify

[tex]23[/tex]

frst to answer this gets brainliest!!!!

1. 641 divided by 43
2. 4684 divided by 27
3. 6455 divided by 64

Answers

Answer:

1. 14.91

2. 173.48

3.100.86

Step-by-step explanation:

all the answers are rounded to the nearest hundredth place, i believe.

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