You have been placed in charge of minimizing costs on a production line. The cost model is C=100x-12^2+3x^3. The variable x represents the level of production for the given cost. Determine the production level that minimizes the average cost. A.) Find the marginal cost. (Divide by x and take 1st derivative) B.) What is the production level?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.4: Definition Of The Derivative
Problem 50E
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You have been placed in charge of minimizing costs on a production line. The cost model is C=100x-12^2+3x^3. The variable x represents the level of production for the given cost. Determine the production level that minimizes the average cost.

A.)  Find the marginal cost.  (Divide by x and take 1st derivative)

B.)  What is the production level?

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