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Applied Calculus for the Manageria...

10th Edition
Soo T. Tan
ISBN: 9781285464640
BuyFindarrow_forward

Applied Calculus for the Manageria...

10th Edition
Soo T. Tan
ISBN: 9781285464640
Textbook Problem

Manufacturing Costs Suppose that the total cost of manufacturing x units of a certain product is C(x) dollars.

  1. a. What does C'(x) measure? Give units.
  2. b. What can you say about the sign of C'?
  3. c. Given that C'(1000) = 20, estimate the additional cost to be incurred by the company in producing the 1001st unit of the product.

(a)

To determine

To explain: The quantity measured by C(x) .

Explanation

The total cost for manufacturing x units of certain product is C(x) dollars.

The derivative of a function represents the rate of change of a function with respect to variable x

(b)

To determine

The sign of C .

(c)

To determine

To estimate: The additional cost incurred by the company to produce 1001st unit of product.

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P-23RECh-2 P-24RECh-2 P-25RECh-2 P-26RECh-2 P-27RECh-2 P-28RECh-2 P-29RECh-2 P-30RECh-2 P-31RECh-2 P-32RECh-2 P-33RECh-2 P-34RECh-2 P-35RECh-2 P-36RECh-2 P-37RECh-2 P-38RECh-2 P-39RECh-2 P-40RECh-2 P-41RECh-2 P-42RECh-2 P-43RECh-2 P-44RECh-2 P-45RECh-2 P-46RECh-2 P-47RECh-2 P-48RECh-2 P-49RECh-2 P-50RECh-2 P-51RECh-2 P-52RECh-2 P-53RECh-2 P-54RECh-2 P-55RECh-2 P-56RECh-2 P-57RECh-2 P-58RECh-2 P-59RECh-2 P-60RECh-2 P-61RECh-2 P-62RECh-2 P-63RECh-2 P-64RECh-2 P-1BMCh-2 P-2BMCh-2 P-3BMCh-2 P-4BMCh-2 P-5BMCh-2 P-6BM

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