(a) Explanation Given: Revenue value is R ' ( x ) = 6 , 025 − 10 x 2 . Rate of cost is C ' ( x ) = 4 , 000 + 15 x 2 . Calculation: Consider the following function that represents the rate of revenue generated by a x years old industrial machine. R ' ( x ) = 6 , 025 − 10 x 2 ...... ( 1 ) And, the following function that represents the rate of cost, C ' ( x ) = 4 , 000 + 15 x 2 ...... ( 2 ) Assume that the given machine is profitable for x = x 0 years (b) To determine To find: the net earnings generated by the machine and interpret the amount as the area between two curves.

7th Edition

ISBN: 9781524916817

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Question

Chapter 6.6, Problem 25PS

(a)

To determine

To find: the number of years to use the machine.

(b)

To determine

To find: the net earnings generated by the machine and interpret the amount as the area between two curves.

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Chapter 6.6, Problem 24PS

Chapter 6.6, Problem 26PS

Chapter 6 Solutions

Calculus

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the number of years to use the machine.

Solution Summary: The author calculates that the machine is profitable for 9years. The number of years cannot be negative.