The cost (in dollars) of producing x units of a certain commodity is C(x) = 4,000 + 15x + 0.1x2. (a) Find the average rate of change (in $ per unit) of C with respect to x when the production level is changed from x = 100 to the given value. (Round your answers to the nearest cent.) (i) X = 104 24 per unit (ii) x = 101 per unit (b) Find the instantaneous rate of change (in $ per unit) of C with respect to x when x = 100. (This is called the marginal cost. Its significance will be explained in a future chapter.) per unit

The cost (in dollars) of producing x units of a certain commodity is C(x) = 4,000 + 15x + 0.1x2. (a) Find the average rate of change (in $ per unit) of C with respect to x when the production level is changed from x = 100 to the given value. (Round your answers to the nearest cent.) (i) X = 104 24 per unit (ii) x = 101 per unit (b) Find the instantaneous rate of change (in $ per unit) of C with respect to x when x = 100. (This is called the marginal cost. Its significance will be explained in a future chapter.) per 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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