1. Consider the motor comparison problem on page 20 of Class Notes - 4. A slightly reworded version of the same problem is reproduced here for convenience and referred to as the "Base Problem": Base Problem 1: Two180-horsepower (HP) motors are being considered for installation at a municipal sewage-treatment plant. Motor 1 cost $5,800 and has an operating efficiency of 83%. Motor 2 costs $4,600 and has an efficiency of 80%. Both motors are projected to have zero salvage value after a life of 10 years. Let all the annual charges, such as insurance, maintenance, etc., amount to a total of 15% of the original cost of each motor and power costs be $0.05/kWh. Let the number of hours of full-load operation per year be denoted T. For what values of T is the purchase of Motor 1 justified if i= 6%? We found that purchasing Motor 1 is justified for T > 1,132 hours/year. ( a) Write out a solution to this problem neatly, showing the intermediate steps to arrive at T>1,132 hours/year. I suggest considering part (b) to determine how to write this out efficiently.
1. Consider the motor comparison problem on page 20 of Class Notes - 4. A slightly reworded version of the same problem is reproduced here for convenience and referred to as the "Base Problem": Base Problem 1: Two180-horsepower (HP) motors are being considered for installation at a municipal sewage-treatment plant. Motor 1 cost $5,800 and has an operating efficiency of 83%. Motor 2 costs $4,600 and has an efficiency of 80%. Both motors are projected to have zero salvage value after a life of 10 years. Let all the annual charges, such as insurance, maintenance, etc., amount to a total of 15% of the original cost of each motor and power costs be $0.05/kWh. Let the number of hours of full-load operation per year be denoted T. For what values of T is the purchase of Motor 1 justified if i= 6%? We found that purchasing Motor 1 is justified for T > 1,132 hours/year. ( a) Write out a solution to this problem neatly, showing the intermediate steps to arrive at T>1,132 hours/year. I suggest considering part (b) to determine how to write this out efficiently.
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Transcribed Image Text:1. Consider the motor comparison problem on page 20 of Class Notes - 4. A slightly reworded version
of the same problem is reproduced here for convenience and referred to as the "Base Problem":
Base Problem 1: Two180-horsepower (HP) motors are being considered for installation at a
municipal sewage-treatment plant. Motor 1 cost $5,800 and has an operating efficiency of 83%.
Motor 2 costs $4,600 and has an efficiency of 80%. Both motors are projected to have zero
salvage value after a life of 10 years.
Let all the annual charges, such as insurance, maintenance, etc., amount to a total of 15% of the
original cost of each motor and power costs be $0.05/kWh. Let the number of hours of full-load
operation per year be denoted T. For what values of T is the purchase of Motor 1 justified if i=
6%?
We found that purchasing Motor 1 is justified for T > 1,132 hours/year.
( a) Write out a solution to this problem neatly, showing the intermediate steps to arrive at T>1,132
hours/year. I suggest considering part (b) to determine how to write this out efficiently.
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