(a) Explanation Given information: The total daily cost in dollars in the production of x MP3 is, C ( x ) = 0.0001 x 3 − 0 . 0 2 x 2 + 2 4 x + 2000 ( 0 ≤ x ≤ 500 ) (1) Calculation: The actual cost in the manufacturing of 301 st MP3 player is calculated as the difference of total cost when x = 301 and the total cost when x = 300 , the expression is, Actual cost = C ( 301 ) − C ( 300 ) (2) Substitute 301 for x in equation (1) to evaluate the value of C ( 301 ) . C ( 301 ) = 0.0001 ( 301 ) 3 − 0.02 ( 301 ) 2 + 24 ( 301 ) + 2000 = 2727 (b) To determine The marginal cost when the value of x is 300.

Applied Calculus for the Managerial, Life, and Social Sciences

10th Edition

ISBN: 9781305887831

Author: Tan

Publisher: CENGAGE CO

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Question

Chapter 3, Problem 65RE

(a)

To determine

The actual cost in the manufacturing of 301^st MP3 player, assume 300^th MP3 player was manufactured.

(b)

To determine

The marginal cost when the value of x is 300.

Expert Solution & Answer

Chapter 3 Solutions

Applied Calculus for the Managerial, Life, and Social Sciences

Ch. 3.1 - State the following rules of differentiation in...Ch. 3.1 - Prob. 2CQ Ch. 3.1 - Prob. 3CQ Ch. 3.1 - Prob. 4CQ Ch. 3.1 - Prob. 1E Ch. 3.1 - Prob. 2E Ch. 3.1 - Prob. 3E Ch. 3.1 - Prob. 4E Ch. 3.1 - Prob. 5E Ch. 3.1 - Prob. 6E

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Volume of a Cylinder The volume of a...Ch. 3.6 - Prob. 40E Ch. 3.6 - Prob. 41E Ch. 3.6 - Prob. 42E Ch. 3.6 - Prob. 43E Ch. 3.6 - Prob. 44E Ch. 3.6 - Prob. 45E Ch. 3.6 - Prob. 46E Ch. 3.6 - Prob. 47E Ch. 3.6 - PRODUCTION FUNCTION FOR A FURNITURE COMPANY The...Ch. 3.6 - Prob. 49E Ch. 3.6 - Prob. 50E Ch. 3.6 - Prob. 51E Ch. 3.6 - Prob. 52E Ch. 3.6 - Prob. 53E Ch. 3.6 - Prob. 54E Ch. 3.6 - Prob. 55E Ch. 3.6 - Prob. 56E Ch. 3.6 - Prob. 57E Ch. 3.6 - Prob. 58E Ch. 3.6 - Prob. 59E Ch. 3.6 - Prob. 60E Ch. 3.6 - Prob. 61E Ch. 3.6 - Prob. 62E Ch. 3.6 - Prob. 63E Ch. 3.6 - Prob. 64E Ch. 3.6 - Prob. 65E Ch. 3.6 - 66. 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The actual cost in the manufacturing of 301 st MP3 player, assume 300 th MP3 player was manufactured.

Solution Summary: The author calculates the actual cost in the manufacturing of 301 st MP3 player.

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The actual cost in the manufacturing of 301^st MP3 player, assume 300^th MP3 player was manufactured.

The marginal cost when the value of x is 300.

Chapter 3 Solutions

The actual cost in the manufacturing of 301 st MP3 player, assume 300 th MP3 player was manufactured.

Solution Summary: The author calculates the actual cost in the manufacturing of 301 st MP3 player.

Concept explainers

Videos

The actual cost in the manufacturing of 301st MP3 player, assume 300th MP3 player was manufactured.

The marginal cost when the value of x is 300.

Chapter 3 Solutions

The actual cost in the manufacturing of 301^st MP3 player, assume 300^th MP3 player was manufactured.