For the cost function, find the marginal cost at the given production level x. State the units of measurement. (All costs are in dollars.)

C (x) = 15,000 + 70x + 1,000/x; x = 100

Question

Mathematics

Weiss

11 February, 00:15

For the cost function, find the marginal cost at the given production level x. State the units of measurement. (All costs are in dollars.)

C (x) = 15,000 + 70x + 1,000/x; x = 100

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Answers (1)

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Johnathan Foley · Answer 1

C (x) = 15,000 + 70 x + 1,000 / x

C ' (x) = 70 - 1,000 / x²; x = 100

C ' (100) = 70 - 1,000 / 10,000 = 70 - 0.1 = 69.9

Answer:

The marginal costs at given production level are $69.9.

For the cost function, find the marginal cost at the given production level x. State the units of measurement. (All costs are in dollars.)C (x) = 15,000 + 70x + 1,000/x; x = 100

For the cost function, find the marginal cost at the given production level x. State the units of measurement. (All costs are in dollars.)

C (x) = 15,000 + 70x + 1,000/x; x = 100