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Sedbober [7]
2 years ago
9

Create three expressions that evaluate to 20.

Mathematics
1 answer:
mafiozo [28]2 years ago
4 0

Answer:

10+10

15+5

14+6

Step-by-step explanation:

like this lol

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If 1/2 gallon of paint covers 1/12 of a wall then how much paint is needed for the entire wall
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For every 3 minutes that Ryan runs on the treadmill, he burns 28
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Step-by-step explanation:

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2 years ago
Neilsen Cookie Company sells its assorted butter cookies in containers that have a net content of 1 lb. The estimated demand for
vesna_86 [32]

Answer:

  37,528 containers of cookies

Step-by-step explanation:

a) <u>Cost Function</u>

For the fixed annual demand of 500,000 containers, the manufacturing cost of $0.53 each will total ...

  manufacturing cost = 500,000×$0.53 = $265,000 annually.

For a production batch size of x containers, those x containers will be put into storage, and withdrawn at the uniform rate of 500,000 containers per year. On average, (1/2)x containers will be in storage, so storage costs will be ...

  storage cost = (1/2)($0.36x) = $0.18x . . . . annually

For annual demand of 500,000 containers, and a production batch size of x, there will be 500,000/x production batches each year. The setup cost is $507 for each of those, so the annual setup cost is ...

  setup cost = (500,000/x)($507) = $253,500,000/x . . . . annually

The total cost of producing 500,000 containers annually will be ...

  C = setup cost + storage cost + manufacturing cost

  C(x) = 253,500,000/x + 0.18x + 265,000

__

b) <u>Minimal-Cost Batch Size</u>

Cost will be minimized when its derivative with respect to x is zero.

  dC/dx = -253,500,000/x^2 +0.18 = 0

  x^2 = 253,500,000/0.18 . . . . . . . solve for x^2

  x ≈ 37,527.8 ≈ 37,528 . . . . . . . . . take the square root

The size of the production run that will minimize production cost is 37,528 boxes.

_____

<em>Comment on the solution</em>

You may notice that the equation we finally solve for batch size is equivalent to one that sets setup cost equal to storage cost:

  253,500,000/x = 0.18x

This relation (setup cost = storage cost) is the general solution for this sort of problem regarding batch size.

8 0
3 years ago
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