7. An analyst has found that Tom's Transmissions Company cost function is: C(x) = 40,000 + 500x – 0.55x2 for, where x is the number of transmissions. a) Determine the marginal Cost function C'(x). b) Determine when the Cost function is maximized. c) Determine the marginal cost function at the 100th item produced and sold. Explain significance of the marginal cost at this point. d) Determine the cost difference between 101st and 100th boat ( C(101) - C(100)). Is this value the same or different from the marginal cost from part c? Explain.

Managerial Economics: A Problem Solving Approach
5th Edition
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Chapter7: Economies Of Scale And Scope
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7. An analyst has found that Tom's Transmissions Company cost function is:
C(x) = 40,000 + 500x – 0.55x² for, where x is the number of transmissions.
a) Determine the marginal Cost function C'(x).
b) Determine when the Cost function is maximized.
c) Determine the marginal cost function at the 100th item proe
Explain significance of the marginal cost at this point.
ed and sold.
d) Determine the cost difference between 101st and 100th boat ( C(101) - C(100)).
Is this value the same or different from the marginal cost from part c? Explain.
Transcribed Image Text:7. An analyst has found that Tom's Transmissions Company cost function is: C(x) = 40,000 + 500x – 0.55x² for, where x is the number of transmissions. a) Determine the marginal Cost function C'(x). b) Determine when the Cost function is maximized. c) Determine the marginal cost function at the 100th item proe Explain significance of the marginal cost at this point. ed and sold. d) Determine the cost difference between 101st and 100th boat ( C(101) - C(100)). Is this value the same or different from the marginal cost from part c? Explain.
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