A company produces two types of jackets; windbreakers and rainbreakers. The company has at most 61 hours of finishing time per week and 67 hours of packaging time per week. Each windbreaker jacket takes 59 minutes of finishing time and 21 minutes of packaging time per week, whereas each rainbreaker jacket takes 58 minutes of finishing time and 34 minutes of packaging time per week. The company's profit for each windbreaker and rainbreaker jacket is 28 and 41, respectively. Let x denote the number of windbreaker jackets they should produce and y denote the number of rainbreaker jackets they should produce. The company wants to maximize profit. Set up the Linear Programming Problem for this situation.

Answers

Answer 1

Answer:

Max p = 28x + 41y

Subject to

59x + 58y ≤ 3660

21x + 34y ≤ 4020

x  ≥  0, y ≥ 0

Step-by-step explanation:

As given ,

                                       Windbreakers          Rain breakers              Total

Finishing time                         59 min                     58 min                   61 hr

Packaging time                        21 min                      34 min                   68 hr

Profit                                          28                                41

Let

The number of windbreaker jackets they should produce = x

The number of rain breaker jackets they should produce = y

As given,

The company wants to maximize profit.

⇒ Maximum Profit , p = 28x + 41 y

Now,

As 1 hour = 60 min

⇒61 hours = 61×60 = 3660 min

and 67 hours = 67×60 = 4020 min

∴ we get

The equations become

59x + 58y ≤ 3660

21x + 34y ≤ 4020

x  ≥  0, y ≥ 0

So, the Linear Programming Problem (LPP) for this problem is -

Max p = 28x + 41y

Subject to

59x + 58y ≤ 3660

21x + 34y ≤ 4020

x  ≥  0, y ≥ 0


Related Questions

Suppose a loaded die has the following probability model: If this die is thrown and the top face shows an odd number, what is the probability that the die shows a 1

Answers

Answer:

the probability is 0.6

Step-by-step explanation:

The computation is shown below:

Let us assume the X would be the number appear on the top face

Now

= P(X = 1) ÷ P(X = 0)

= 0.3 ÷ 0.3 + 0.1 + 0.1

= 0.3 ÷ 0.5

= 0.6

hence, the probability is 0.6

!! PLEASE HELP, TIMED!!Multiple choice, BRAINLIEST for correct answer!

Answers

Answer:

I'm not going to lie I'm not 100% sure but I think it's c

Answer:

D

Step-by-step explanation:

4x=4+2y

3y=5+2x

I don't understand how to do this ​

Answers

Answer:

x = 86

Step-by-step explanation:

The top right and bottom left angles are part of the reflective property, in turn, the bottom left angle is also 94 degrees; to find the opposite relfective angle set, it would be, in this problem, the top left and bottom right angles; the two top angles make up 180 degrees, so it would be (180-94 = 86) 86 degrees for both the top left and the bottom right angles.

Hope this helps :)

Write an expression equivalent to the one below
-2m-8+4(3m-9)

Answers

Answer:

Step-by-step explanation:

Distribute the 4 into the parentheses.

[tex]-2m-8+12m-36[/tex]

Combine like terms

[tex]10m-44[/tex]

Answer:

10m - 44

Step-by-step explanation:

Apply the distributed property: 12m - 36Re-write expression: -2m - 8 + 12m - 36-2m + 12m = 10m8 + 36 = 44Put them together: 10m - 44

I hope this helps!

Tell whether the ordered pair is a solution to the system of linear equations. 1 point
63 + 3y = 12
(5.-6):
4x + y = 14
Yes
No
Maybe
Next
Page 1 of 3
Forms
Tell whether the ordered pair is a solution to the system of linear equations
Yes
No
Maybe

Answers

Answer:

(5,-6) is a solution

Step-by-step explanation:

Given

[tex]6x + 3y = 12[/tex]

[tex]4x + y = 14[/tex]

Required

Tell whether (5,-6) is a solution

In (5,-6): x = 5 and y = -6.

Substitute these values in the given equations

[tex]6x + 3y = 12[/tex] becomes

[tex]6 * 5 + 3 * -6 = 12[/tex]

[tex]30-18 = 12[/tex]

[tex]12 = 12[/tex]

[tex]4x + y = 14[/tex] becomes

[tex]4 * 5 - 6 = 14[/tex]

[tex]20 - 6 = 14[/tex]

[tex]14 = 14[/tex]

Because both solutions are true, then (5,-6) is a solution

0.5 g of salt is equal to how many milligrams show your work

Answers

Answer:

Amount of salt = 500 milligrams

Step-by-step explanation:

Given:

Amount of salt = 0.5 g

Find:

Amount of salt in milligrams

Computation:

1 gram = 1,000 milligrams

So,

Amount of salt = 0.5 x 1,000

Amount of salt = 500 milligrams

Plz help me! I’m not sure how to do these!

Answers

Step-by-step explanation:

2. x =101

3. x= 120

4. x= 30

I am very confused in question no 1 and 5 th .

hope this will be helpful to you.

plz mark my answer as brainlist if you find it useful .

Kevin draws out one M&M without looking.

· What is P(green)?


· What is P(red)?


· What is P(~Yellow)?


· What is P(~Orange)?

Answers

Answer:

1/6

Step-by-step explanation:

M&M comes in 6 colors.

So, P(green), = 1/6

P(red) = 1/6

· P(Yellow) = 1/6

· P(Orange) = 1/6

The price of an item has risen to $216 today. Yesterday it was $135. Find the percentage Increase.

Answers

The percentage increase is 160%

1. Maya had a dozen white eggs
and a dozen brown eggs in her
refrigerator. She used 6 white
eggs and 8 brown eggs to make
breakfast. How many eggs does
she have left?

Answers

Answer:

6 white & 4 brown

Step-by-step explanation:

12-6=6

12-8=4

What is the volume of the rectangular prism?​

Answers

Answer:

15 0/0

Step-by-step explanation:

15 cubes on each side which totals to 30 cubes. To get the volume 15 cm multiply 30 x 1/2 = 15 the amount of volume

Answer:

15[tex]cm^{3}[/tex]

Step-by-step explanation:

ok...each of those boxes are 1/2 cm

What is the easiest thing to do is to count the front of the rectangular prism and there are 15 cubes. Now double it, and you get 30 cubes, now since each cube is 1/2 or 0.5, we get can do 0.5 x 30 and we get 15

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Find the exact value of sec795°

Answers

Answer:

I believe the answer would be [tex]\sqrt{6}+\sqrt{2}[/tex] or 3.8637

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

a typing question please help and make brainleist​

Answers

Answer:
540

Explanation:

A store manager combines trail mix that is 30% raisins with a trail mix that is 55% raisins. He makes 800 lbs of trail mix that is 40% raisins. How many pounds of each trail mix does the manager use?

Answers

Answer:

320 pounds of 55% raisins trail mix

480 pounds of 30% raisins trail mix

Step-by-step explanation:

i did it on RSM and got it right

how do you solve 0.7n-1.5+7.3n=14.5​

Answers

Answer:

n = 2

Step-by-step explanation:

Answer:

n = 2

Step-by-step explanation:

0.7n-1.5+7.3n=14.5​

Add like terms

(0.7n + 7.3n) + (-1.5) = 14.5

8n -1 .5 = 14.5

Add 1.5 to both sides.

8n =1 6

Divide both sides by 8.

n = 2

What is 13x + 21y - 14x - y simplified?

Answers

Answer:

-x + 20y

Step-by-step explanation:

trust me.. its right

Need help on only 27 please need ASAP thanks

Answers

Answer:

8 is not in the solution set

Step-by-step explanation:

Given, -y + 7 < -4

To find out if 8 is in the solution set, substitute y = 8 in the inequality and solve to see if the statement would be true.

Thus:

-8 + 7 < -4

-1 < -4

This -1 is less than -4. This is actually not TRUE. -1 is rather greater than -4.

Therefore, 8 is not in the solution set.

WILL MARK BRAINLIEST!!!


Write each of the following numerals in base 10. For base​ twelve, T and E represent the face values ten and​ eleven, respectively.
a. 231 five
b. 11001 two
c. 12T twelve

Answers

142 in base 5 means 1(52) + 4(51) + 2(50) = 25 + 20 + 2 = 47

11011 in base 2 means 1(24) + 1(23) + 0(22) + 1(21) + 1(20) = 27

39T in base 12 means 3(122) + 9(121) + 10(120) = 550

A submarine was situated 832 feet below sea level. If it descends 289 feet, what is its new position?

Answers

It's new position is 1121 feet below sea level.

(In this problem u are descending into a negative value so it made sense for me to add for some reason).

Hope this helps and have a good day.

Also, as proof I included my calculator showing the logic behind it. Sorry for bad Camera quality.

-R3TR0 Z3R0

Need help with math points and brainlest

Answers

answer: 10 ft (now i’m just typing to make it 20 letters long lol)

Answer: 10 because if they have the same shape then it must be 10.

I'm not sure if they want the same area or the same length. But if you want the volume then it would be 2. Because 2 x 75 = 150 and 15 x 10 = 150. Wait for more responses if needed.

There are 15 students on the chess team. Seven of the students are in the fourth grade.

Which shows the fraction of the team that is in the fourth grade?

A.

4

5

B.

7

15

O

C

8

15

OD. 15

7

Answers

Answer:

7/15 (B)

Step-by-step explanation:

7 fourth graders out of 15 total = 7/15

The bigger

the number the more

factor pairs it has.

Use examples to show that Dexter is wrong.

Answers

Answer:

See Explanation

Step-by-step explanation:

Required

Prove that Dexter is wrong

To prove that Dexter is wrong, we use the following numbers.

[tex]Number = 4[/tex]

The factors are:

[tex]Factor = 1,2\ and\ 4[/tex]

3 factors

Using a greater number:

[tex]Number = 5[/tex]

The factors are:

[tex]Factor = 1\ and\ 5[/tex]

2 factors

From the above analysis:

4 has 3 factors and 5 has 2 factors; which shows that 5 has fewer factors

This shows that Dexter is wrong

Find the slope of the line passing through the points (-7, 5) and (2,5).

Answers

There is no slope the y axis is the same in both

Answer:

slope = 0

Step-by-step explanation:

Use formula to find the slope: m = (y2 - y1) / (x2 - x1)

Set (x1, y1) = (-7, 5)

Set (x2, y2) = (2, 5)

m = (5 - 5) / (2 - (-7))

m = (5 - 5) / (2 + 7)       FYI, negative * negative = positive

m = 0 / 9

If you plot the coordinates, they'll lie on a horizontal line. Therefore, the slope of the line is 0.

Determine the order pair and quadrant for each point:
A.
B.
C.

Answers

Answer:

A: (-4,1) QUAD 2

B: (-1, -3) QUAD 3

C: (2,5) QUAD 1

D: (5, -4) QUAD 4

Step-by-step explanation:

zach read a book10 min every weekend for the first month 20min in 2nd month 40 min in third month and 80 min in 4th month
victoria read a book 35 everyweekend for first month 50 min second month 65 min third month 80 min 4 the month which method is used linear or exponential

Answers

Answer:

Zach time of reading every weekend forms a sequence with these terms: 10, 20, 40, 80. On the other hand, that of Victoria forms a sequence with terms: 35, 50, 65, 80. By keenly observing the sequences, Zach's sequence is a geometric sequence with a common ratio equal to 2 and Victoria's sequence is an arithmetic or linear sequence with a common difference of 15. Thus, the answer is letter B.

Step-by-step explanation:

Please help me?! I don’t have a lot of time? Please I will give brainiest for the correct answer !

Answers

Answer:

It should be -3

Hope it helped i tried to help you ASAP

Step-by-step explanation:

random khan question and I haven't done this in a year, I'm struggling.

Answers

Answer:

Add maybe

Step-by-step explanation:

add the 500+400+200 try that hope it helps have a great day

Write an equation of the parabola with focus (0, 10) and vertex at the origin

Answers

Answer:

f(x) = (1/10)x²

Step-by-step explanation:

This is the answer that  I think it is but I am not sure if it is right...

Hope this helps!

Please show work so i know how you got your answer..thank you and have a nice day<3

Answers

Answer:

V=whl=2·2.5·4=20

Step-by-step explanation:

Answer:

2880 feet³

Step-by-step explanation:

since the question is asking for cubic feet we know we're finding volume.

v=l·w·b

v=4·24·30

=2880

Please help asap!!
Which of the following ordered pairs is a solution to the system of inequalities? Select ALL that apply.

А. (-4,1)

B. (-3, -4)

C. (0, -3)

D. (0,1)

E. (5,-2)

Answers

B and e I think I don’t know tho
The answer is going to be B and E
Hope this helps
Other Questions
May has 5 cups of dough. It takes 1/3 cup of dough to make one dinner roll. How many dinner rolls can she make with the dough she has? There is a current of 2.95 A in one of the copper wires for 60 seconds. Calculate the charge flow through the wire. Describe the pattern. Draw what might be the next three figures in the pattern Which of the following statements are true regarding cellular reproduction? Select all that apply.When an organism grows, cellular reproduction creates new cells.Organisms reproduce, so new cells are needed.If cells become damaged, cellular reproduction can repair damaged cells.Cellular reproduction helps organisms acquire water better, as there are more cells present.Cellular reproduction is the exchange of homologous chromosome segments. HELP PLEASEJohn works as a website designer and for a fee will perform tasks that help clients create or redesign their websites. In other words, John is providing what for each client.A) a deficitB) an exportC) an importD) a service Thomas decides on a destination for his vacation. If he takes the train there, it will take 5 1/8 hours to get there. If he takes the plane, it will take him 2 2/3 hours Let f be the function given by f(x) = x +Vx+1X - 1Find and simplify f(5). What is the advantage of a primate having a curved spine? PLEASE HELP!! WILL BE MARKED BRAILIEST5. the kingdom of prokaryotic unicellular organisms known for living inenvironments in which all other organisms are unable to survive in *EubacteriaArchaeaFungiprokaryote Rewrite the sentences using the word given. 1 We'll go to the beach if it doesn't rain. (PROVIDING THAT) Part 3: Who is Kim Jong-un? Film - The Deadliest Dictator1. Why did Kim Jong-il choose Kim Jong-un as his successor? Function or not a function? PLEASE GIVE ME RIGHT ANSWER IF WRONG WILL BE SCRPTED ON OVH TIMED OUT REAL ANSWER OR REPORTED, REAL GETS BRAINLIST 2. What is the weight of:A 32 kg childAn 82 kg linebackerA 1000 kg car3. What is the mass of:A student who weighs 524 NewtonsA table that weighs 441 NewtonsA hammer that weighs 51 Newtons4. A 15 kg box sits motionless on the floor. Draw a force diagram for the box.Write a vertical Fnet equation for the box. Determine the weight of the box. What is the magnitude of the normal force? Which of the following is a form of kinetic energy?O A. Gravitational potential energyO B. Light energyO C. Elastic energyO D. Thermal energy Ayuda por favor!!!!!! :((( Hell its due soon?? why is america falling apart? How many Non-REM cycles are there? * Jerry buys t-shirts for $6 each and marks up the price by 45%.How much profit does Jerry make from each t-shirt sold?help pleaseee