Explanation Given information: It is provided that the marginal cost for a product is M C ¯ = 4 x + 40 and the production of 25 units results in total cost of $ 3000 . Formula used: Total Cost: C ( x ) = ∫ M C ¯ d x Where M C ¯ is defined as the marginal cost. The integral formula, ∫ x n d x = x n + 1 n + 1 + K Where K is a constant Calculation: Consider the marginal cost: M C ¯ = 4 x + 40 Consider the formula: C ( x ) = ∫ M C ¯ d x Substitute 4 x + 40 for M C ¯ in above equation to get: C ( x ) = ∫ ( 4 x + 40 ) d x Solve by the use of integration formula, ∫ x n d x = x n + 1 n + 1 + K , C ( x ) = 4 x 2 2 + 40 x + K = 2 x 2 + 40 x + K Since, 25 units results in total cost of $ 3000

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 12.4, Problem 4E

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To calculate: The cost of producing 30 units if the marginal cost for a product is MC¯=4x+40 and the production of 25 units results in total cost of $3000.

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Chapter 12.4, Problem 3E

Chapter 12.4, Problem 5E

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Chapter 12 Solutions

Mathematical Applications for the Management, Life, and Social Sciences

Ch. 12.1 - 1. True or false: (a) (b) Ch. 12.1 - Prob. 2CP Ch. 12.1 - 1. If what is Ch. 12.1 - Prob. 2E Ch. 12.1 - Prob. 3E Ch. 12.1 - Prob. 4E Ch. 12.1 - Prob. 5E Ch. 12.1 - Evaluate the integrals in Problems 5-28. Check...Ch. 12.1 - Prob. 7E Ch. 12.1 - Evaluate the integrals in Problems 5-28. Check...

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The cost of producing 30 units if the marginal cost for a product is M C ¯ = 4 x + 40 and the production of 25 units results in total cost of $ 3000 .

Solution Summary: The author explains how to calculate the cost of producing 30 units if the marginal cost for a product is stackrel MC=4x+40 and the production of 25

To calculate: The cost of producing 30 units if the marginal cost for a product is MC¯=4x+40 and the production of 25 units results in total cost of $3000.

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Chapter 12 Solutions