ENGR.ECONOMIC ANALYSIS
ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN: 9780190931919
Author: NEWNAN
Publisher: Oxford University Press
Question
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Chapter 5, Problem 38P
To determine

To find:Best choice between option A and B,by calculating the present worth.

Expert Solution & Answer
Check Mark

Answer to Problem 38P

The better option is B which would save $8.30M

Explanation of Solution

Given information:

  First CostO & M Cost/yearSalvageLifeA$14M$3.5M$2M8 yearsB22M3M7.5M16 years

Formula used:

  PWA=14A( ( 1+i )N1i ( 1+i )N)+F(1 ( 1+i )N) A( ( 1+i )N1i ( 1+i )N)+ F(1 ( 1+i )N)

  PWB=22 A( ( 1+i )N1i ( 1+i )N)+ F(1 ( 1+i )N)

PW represents Present Worth

A is end of period cash receipt or disbursement in a uniform series continuing for “n” periods

F is Future sum of money at the end of the nth interest period, which is equivalent to “P” with interest rate “i”.

P isPresent sum of money

i is Effective interest rate per interest period

N is Number of interest period

Calculation:

By using the above-mentionedformulas, Present Worth is calculated.

Present Worth for choice A

  PWA    =( 143.5( ( 1+.18 ) 8 1 .18 ( 1+.18 ) 8 )+( 214 )( 1 ( 1+.18 ) 8 )  3.5( ( 1+.18 ) 8 1 .18 ( 1+.18 ) 8 )+2( 1 ( 1+.18 ) 8 ))=143.5(4.08)12(0.27)3.5(4.08)+2(0.27)=$45.26M

The above formula gives the Present Worth for choice A of $45.26M

Present Worth for choice B

  PWB     =223( ( 1+.18 ) 16 1 .18 ( 1+.18 ) 16 )+7.5(1 ( 1+.18 ) 16 )=143(5.16)+7.5(0.07)=$36.96M

The above formula gives the Present Worth for choice Bof $36.96

Therefore, the best choice between A & B is B as it saves $8.30M

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Chapter 5 Solutions

ENGR.ECONOMIC ANALYSIS

Ch. 5 - Prob. 8PCh. 5 - Prob. 9PCh. 5 - Prob. 10PCh. 5 - Prob. 11PCh. 5 - Prob. 12PCh. 5 - Prob. 13PCh. 5 - Prob. 14PCh. 5 - Prob. 15PCh. 5 - Prob. 16PCh. 5 - Prob. 17PCh. 5 - Prob. 18PCh. 5 - Prob. 19PCh. 5 - Prob. 20PCh. 5 - Prob. 21PCh. 5 - Prob. 22PCh. 5 - Prob. 23PCh. 5 - Prob. 24PCh. 5 - Prob. 25PCh. 5 - Prob. 26PCh. 5 - Prob. 27PCh. 5 - Prob. 28PCh. 5 - Prob. 29PCh. 5 - Prob. 31PCh. 5 - Prob. 32PCh. 5 - Prob. 33PCh. 5 - Prob. 34PCh. 5 - Prob. 35PCh. 5 - Prob. 36PCh. 5 - Prob. 37PCh. 5 - Prob. 38PCh. 5 - Prob. 39PCh. 5 - Prob. 40PCh. 5 - Prob. 41PCh. 5 - Prob. 42PCh. 5 - Prob. 43PCh. 5 - Prob. 44PCh. 5 - Prob. 45PCh. 5 - Prob. 46PCh. 5 - Prob. 47PCh. 5 - Prob. 48PCh. 5 - Prob. 49PCh. 5 - Prob. 50PCh. 5 - Prob. 51PCh. 5 - Prob. 52PCh. 5 - Prob. 53PCh. 5 - Prob. 54PCh. 5 - Prob. 55PCh. 5 - Prob. 56PCh. 5 - Prob. 57PCh. 5 - Prob. 58PCh. 5 - Prob. 59PCh. 5 - Prob. 60PCh. 5 - Prob. 61PCh. 5 - Prob. 62PCh. 5 - Prob. 63PCh. 5 - Prob. 64PCh. 5 - Prob. 65PCh. 5 - Prob. 66PCh. 5 - Prob. 67PCh. 5 - Prob. 68PCh. 5 - Prob. 69PCh. 5 - Prob. 70PCh. 5 - Prob. 71PCh. 5 - Prob. 72PCh. 5 - Prob. 73PCh. 5 - Prob. 74PCh. 5 - Prob. 75PCh. 5 - Prob. 76PCh. 5 - Prob. 77PCh. 5 - Prob. 78PCh. 5 - Prob. 79PCh. 5 - Prob. 80PCh. 5 - Prob. 81PCh. 5 - Prob. 82PCh. 5 - Prob. 83PCh. 5 - Prob. 84PCh. 5 - Prob. 85PCh. 5 - Prob. 86PCh. 5 - Prob. 87PCh. 5 - Prob. 88PCh. 5 - Prob. 89PCh. 5 - Prob. 90PCh. 5 - Prob. 91PCh. 5 - Prob. 92PCh. 5 - Prob. 93PCh. 5 - Prob. 94PCh. 5 - Prob. 95PCh. 5 - Prob. 96PCh. 5 - Prob. 97PCh. 5 - Prob. 98PCh. 5 - Prob. 99PCh. 5 - Prob. 100PCh. 5 - Prob. 101P
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