Marginal cost function

Asked by maham237 @ in Mathematics viewed by 326 People

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

Answered by maham237 @


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.

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