Explanation Given Information: The total cost function is given as C ( x ) = 0.1 x 3 − 1.5 x 2 + 9 x + 15 . Formula used: According to the power rule, if f ( x ) = x n , then, f ′ ( x ) = n x n − 1 According to the property of differentiation, if a function is of the form, g ( x ) = c f ( x ) , then, g ′ ( x ) = c f ′ ( x ) According to the property of differentiation, if a function is of the form f ( x ) = u ( x ) + v ( x ) , then, f ′ ( x ) = u ′ ( x ) + v ′ ( x ) The derivative of a constant value, k , is d d x ( k ) = 0 Calculation: Consider the provided cost function, C ( x ) = 0.1 x 3 − 1.5 x 2 + 9 x + 15 The marginal cost is found by differentiating the cost function and denoted by M C ¯ as, M C ¯ = C ′ ( x ) Thus, differentiate both sides of the cost function with respect to x , C ′ ( x ) = d d x ( 0

Mathematical Applications for the Management, Life, and Social Sciences

11th Edition

ISBN: 9781305108042

Author: Ronald J. Harshbarger, James J. Reynolds

Publisher: Cengage Learning

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Chapter 9.9, Problem 14E

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To calculate: The marginal cost function for the total cost function, C(x)=0.1x3−1.5x2+9x+15.

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Chapter 9.9, Problem 13E

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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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The marginal cost function for the total cost function, C ( x ) = 0.1 x 3 − 1.5 x 2 + 9 x + 15 .

Solution Summary: The author explains how to calculate the marginal cost function for the total cost, which is C(x)=0.1

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To calculate: The marginal cost function for the total cost function, C(x)=0.1x3−1.5x2+9x+15.

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Chapter 9 Solutions