The cost (in dollars) of producing x units of a certain commodity is given below. C(x) = 7000 + 14x + 0.15x2 (a) Find the average rate of change of C with respect to x when the production is changed from x = 100 to the given value. (i) x = 103 $ per unit (ii) x = 101 $ per unit (b) Find the instantaneous rate of change of C with respect to x when x = 100. (This is called the marginal cost.) $ per unit
The cost (in dollars) of producing x units of a certain commodity is given below. C(x) = 7000 + 14x + 0.15x2 (a) Find the average rate of change of C with respect to x when the production is changed from x = 100 to the given value. (i) x = 103 $ per unit (ii) x = 101 $ per unit (b) Find the instantaneous rate of change of C with respect to x when x = 100. (This is called the marginal cost.) $ 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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The cost (in dollars) of producing x units of a certain commodity is given below.
C(x) = 7000 + 14x + 0.15x2
(a) Find the average rate of change of C with respect to x when the production is changed from x = 100 to the given value.
(b) Find the instantaneous rate of change of C with respect to x when x = 100. (This is called the marginal cost.)
$ per unit
(a) Find the average rate of change of C with respect to x when the production is changed from x = 100 to the given value.
(i) x = 103
$ per unit
(ii) x = 101
$ per unit
$ per unit
(ii) x = 101
$ per unit
(b) Find the instantaneous rate of change of C with respect to x when x = 100. (This is called the marginal cost.)
$ per unit
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