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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 Additionol Mot

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 Additionol Mot

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Ch 2.3 #19 Can you help me with this?
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 Additional Materials I eBook
Transcribed Image Text: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 Additional Materials I eBook
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