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wlad13 [49]
3 years ago
15

A RSS Clothing manufacturer makes two types of jogging pants, design A and design B. The design A jogging pants sells to the ret

ail stores for 2,500each and the design B jogging pants for 2,100. The cost for manufacturing each design A is 1,750 and the cost of each design B is 1,200. If the manufacturer makes no more than 120 jogging a week and budget no more than 150,000 per week, how many of each type should be made to maximize profit?

Mathematics
1 answer:
nikdorinn [45]3 years ago
8 0

Answer:

  120 of design B

Step-by-step explanation:

The profit per dollar cost for design A is (2500/1750 -1) ≈ 0.43. For design B, it is (2100/1200 -1) ≈ 0.75. Design B is more profitable and less expensive to make, so its production should be maximized.

For maximum profit, 120 jogging pants of design B should be made each week.

_____

The budget of 150,000 would allow 150,000/1,200 = 125 pants of design B to be made. The production limit of 120 pants does not use the entire budget.

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Help!<br> JH is a mid-segment of KLM. Find the value of x.
USPshnik [31]

JH = mid-segment of triangle KLM.

ML = 22

(1/2)(ML) = 11

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Which value of x makes the equation -5x-(-7-4x) =-2(3x-4 true?
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Answer:

x = 1/5

Step-by-step explanation:

Step 1: Write equation

-5x - (-7 - 4x) = -2(3x - 4)

Step 2: Solve for <em>x</em>

  1. <u>Distribute:</u> -5x + 7 + 4x = -6x + 8
  2. <u>Combine like terms:</u> -x + 7 = -6x + 8
  3. <u>Add 6x to both sides:</u> 5x + 7 = 8
  4. <u>Subtract 7 on both sides:</u> 5x = 1
  5. <u>Divide by 5 on both sides:</u> x = 1/5

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

-5(1/5) - (-7 - 4(1/5)) = -2(3(1/5) - 4)

-1 - (-7 - 4/5) = -2(3/5 - 4)

-1 - (-39/5) = -2(-17/5)

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An oblique prism with a square base of edge length x units has a volume of x3 cubic units. which expression represents the heigh
vovangra [49]

The expression that represents the height of the oblique prism is: 1/2x.

What is the Volume of a Prism?

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Given that the oblique prism has:

Volume = 1/2x³ cubic units

edge length = x units

Therefore,

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Thus:

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Divide both sides by x²

1/2x³ ÷ x² = height

1/2x³ × 1/x² = height

x³/2 × 1/x² = height

height = x³/2x²

height = x/2

Therefore, the expression that represents the height of the oblique prism is: 1/2x.

Learn more about oblique prism

brainly.com/question/20837986

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<u>The complete question is -</u>

An oblique prism with a square base of edge length x units has a volume of x3 cubic units. Which expression represents the height of the prism?

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