Explanation Given Information: The cost function of the commodity is C ( x ) = 300 + 4 x + x 2 . Graph: Consider the provided cost function, C ( x ) = 300 + 4 x + x 2 To find the marginal revenue, differentiate the cost function with respect to x , C ′ ( x ) = d d x ( 300 + 4 x + x 2 ) = d d x ( x 2 ) + d d x ( 4 x ) + d d x ( 300 ) = d d x ( x 2 ) + ( 4 ) d d x ( x ) + d d x ( 300 ) According to the power rule of derivative, for a function of form y = x n , the derivative is d y d x = n x n − 1

Mathematical Applications for the Management, Life, and Social Sciences

12th Edition

ISBN: 9781337625340

Author: Ronald J. Harshbarger, James J. Reynolds

Publisher: Cengage Learning

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Chapter 9.9, Problem 21E

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To graph: The marginal cost function for a commodity with cost function, C(x)=300+4x+x2.

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Chapter 9.9, Problem 20E

Chapter 9.9, Problem 22E

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Chapter 9 Solutions

Mathematical Applications for the Management, Life, and Social Sciences

Ch. 9.1 - 1. Can exist if is undefined? Ch. 9.1 - 2. Does exist if ? Ch. 9.1 - 3. Does Ch. 9.1 - 4. If , does exist? Ch. 9.1 - 5. Let (a) Does (b) Find . Ch. 9.1 - 6. Evaluate the following limits (if they...Ch. 9.1 - Prob. 7CP Ch. 9.1 - Prob. 8CP Ch. 9.1 - Prob. 9CP Ch. 9.1 - Prob. 10CP

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To graph: The marginal cost function for a commodity with cost function, C ( x ) = 300 + 4 x + x 2 .

Solution Summary: The author analyzes the marginal cost function for a commodity, C(x)=300+4x+x

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To graph: The marginal cost function for a commodity with cost function, C(x)=300+4x+x2.

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Chapter 9 Solutions