(a) Explanation Given: R ' ( t ) = 6 , 025 − 8 t 2 Dollars/year C ' ( t ) = 4 , 681 + 13 t 2 Dollars/year Calculation: Consider the following function that represents the rate of revenue generated by a tyears old industrial machine, R ' ( t ) = 6 , 025 − 8 t 2 Dollars/yr.…. (1) And, the following function that represents the rate of cost, C ' ( t ) = 4 , 681 + 13 t 2 Dollars/yr.…. (2) Assume that the given machine is profitable for t = t 0 years (b) To determine To compute: The net earnings generated by the machine over the time period determined in part a. (c) To determine To plot: The revenue rate curve y = R ' ( t ) and the rate curve y = C ' ( t ) and shade the region whose area represents the net earnings computed in part b.

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ISBN: 9781524916817

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

Publisher: Kendall Hunt Publishing

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Chapter 6.6, Problem 45PS

(a)

To determine

To state:The total year pass before the machine ceases to be profitable.

(b)

To determine

To compute:The net earnings generated by the machine over the time period determined in part a.

(c)

To determine

To plot: The revenue rate curve y=R'(t) and the rate curve y=C'(t) and shade the region whose area represents the net earnings computed in part b.

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Chapter 6.6, Problem 44PS

Chapter 6.6, Problem 46PS

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To state: The total year pass before the machine ceases to be profitable.

Solution Summary: The author calculates the net earnings generated by the machine over the time period determined in part a. The machine is profitable for 8 years.

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To state:The total year pass before the machine ceases to be profitable.

To compute:The net earnings generated by the machine over the time period determined in part a.

To plot: The revenue rate curve y=R'(t) and the rate curve y=C'(t) and shade the region whose area represents the net earnings computed in part b.

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