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sdas [7]
3 years ago
11

Complete the patterns 3,400,000 34,000 blank 3.4 blank

Mathematics
2 answers:
almond37 [142]3 years ago
6 0
340 and 0.034 because yo move two decimal points to the left
gregori [183]3 years ago
5 0

Answer:

The answers are 340 and 0.034.

Step-by-step explanation:

In order to determine the number in the blank position, we have to know the number which are dividing the others.

First number=3,400,00

Second number=34,000

If we divide both number:

\frac{3,400,000}{34,000}=100

So, every number is being divided by 100. Then, the blank numbers are

\frac{34,000}{100}=340

\frac{3.4}{100}= 0.034

To check that:

Second number=34,000

Third number (blank position)=340

\frac{34,000}{340} =100

Third number (blank position)=340

Fourth number=3.4

\frac{340}{3.4} =100

Fourth number=3.4

Fifth number=0.034

\frac{3.4}{0.034} =100

We can see that the number 100 is the constant quotient of every two continuous numbers.

Finally, the blank numbers are 340 and 0.034.

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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:

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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 ...

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For a production batch size of x containers, those x containers will be put into storage, and withdrawn at the uniform rate of 500,000 containers per year.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 ...

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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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