The weekly marginal cost of producing x pairs of tennis shoes is given by the following function, where C(x) is cost in dollars. C'(x) = 12 + 200 X + 1 If the fixed costs are $2,000 per week, find the cost function. What is the average cost per pair of shoes if 1,000 pairs of shoes are produced each week? The cost function is C(x) = 12x + 200 In (x + 1) + 2000. If 1,000 pairs of shoes are produced each week, the average cost per pair of shoes is $ (Round to the nearest cent as needed.)

The weekly marginal cost of producing x pairs of tennis shoes is given by the following function, where C(x) is cost in dollars. C'(x) = 12 + 200 X + 1 If the fixed costs are $2,000 per week, find the cost function. What is the average cost per pair of shoes if 1,000 pairs of shoes are produced each week? The cost function is C(x) = 12x + 200 In (x + 1) + 2000. If 1,000 pairs of shoes are produced each week, the average cost per pair of shoes is $ (Round to the nearest cent as needed.)

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.4: Average Rate Of Change Of A Function

Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.

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