The cost, in dollars, of producing x units of a certain commodity is C(x) = 6000 + 60x + 0.05x². (a) Find the average rate of change of C with respect to x when the production level is changed in the following way. (i) from x = 100 to x = 105 dollars/unit (ii) from x = 100 to x = 101 dollars/unit (b) Find the instantaneous rate of change of C with respect to x (the marginal cost) when x = 100. dollars/unit

The cost, in dollars, of producing x units of a certain commodity is C(x) = 6000 + 60x + 0.05x². (a) Find the average rate of change of C with respect to x when the production level is changed in the following way. (i) from x = 100 to x = 105 dollars/unit (ii) from x = 100 to x = 101 dollars/unit (b) Find the instantaneous rate of change of C with respect to x (the marginal cost) when x = 100. dollars/unit

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter8: Graphing Quadratic Functions

Section: Chapter Questions

Problem 17CT

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