
i.
Present worth analysis.

Answer to Problem 65P
As alternative B has the highest present worth, Alternative B is selected.
Explanation of Solution
Given:
Time: 10 years
Alternative A has a cost of $10000
Annual benefits of $4500
Alternative B costs $25000
Annual benefits of $8800.
Calculation:
Alternative A
The rates are discounted to the present value at 8%
PWA= 746(P/A,i,n)−2500 = 746(P/A,8%,5)−2500 =746(3.993)−2500 746(P/A,i,n)−2500 =2978.778−2500 = $478.778
Alternative B
PWA= 1664(P/A,i,n)−6000 = 1664(P/A,8%,5)−6000 =1664(3.993)−6000 746(P/A,i,n)−2500 =6644−6400 = $644.352.
Conclusion:
As alternative B has the highest present worth, Alternative B is selected.
ii.
Annual Cash Flow.

Answer to Problem 65P
Alternative B has the highest cash flow.
Explanation of Solution
Given:
Time: 10 years
Alternative A has a cost of $10000
Annual benefits of $4500
Alternative B costs $25000
Annual benefits of $8800.
Calculation
Calculate annual cash flow as follows:
(EUAB-EAUC)B = 1664-6000(A/P,8%,5)
= 1664-6000(0.2505)
= 1664-1503
= $161.
Conclusion:
Alternative B has the highest cash flow.
Thus alternative B is selected.
ii.

Answer to Problem 65P
Alternative A is selected.
Explanation of Solution
Given:
Two mutually exclusive alternatives are being considered. Both have lives of 10 years. Alternative A has a cost of $10000 and annual benefits of $4500. Alternative B costs $25000 and has annual benefits of $8800.
Calculation:
For A = =−2500(1+r)0+746(1+r)1+746(1+r)2+746(1+r)3+746(1+r)4+746(1+r)5+746(1+r)6+746(1+r)7+746(1+r)8+746(1+r)9+746(1+r)10r = 27.14% For B
=−6000(1+r)0+1664(1+r)1+1664(1+r)2+1664(1+r)3+1664(1+r)4+1664(1+r)5+1664(1+r)6+1664(1+r)7+1664(1+r)8+1664(1+r)9+1664(1+r)10r = 24.68%
Year | Alternative A | Alternative B |
0 | -2500 | -6000 |
1 | 746 | 1664 |
2 | $746 | 1664 |
3 | 746 | 1664 |
4 | 746 | 1664 |
5 | 746 | 1664 |
6 | 746 | 1664 |
7 | 746 | 1664 |
8 | 746 | 1664 |
9 | 746 | 1664 |
10 | 746 | 1664 |
27.14% | 24.68% |
Conclusion:
Alternative A is selected.
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Chapter 7 Solutions
Engineering Economic Analysis
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