The town council of Cato Springs is considering two alternative investments to upgrade and expand its spring-fed recreational area. The two investment alternatives (A and B) have different costs and will produce different public benefits. The projected costs and benefits over a 10-year planning horizon for the two alternatives are given below. Using a MARR of 7.0%, which, if either, of the alternatives should be pursued by the Cato Springs city council?
The town council of Cato Springs is considering two alternative investments to upgrade and expand its spring-fed recreational area. The two investment alternatives (A and B) have different costs and will produce different public benefits. The projected costs and benefits over a 10-year planning horizon for the two alternatives are given below. Using a MARR of 7.0%, which, if either, of the alternatives should be pursued by the Cato Springs city council?
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Transcribed Image Text:The town council of Cato Springs is considering two alternative investments to upgrade and expand its spring-fed recreational area.
The two investment alternatives (A and B) have different costs and will produce different public benefits. The projected costs and
benefits over a 10-year planning horizon for the two alternatives are given below. Using a MARR of 7.0%, which, if either, of the
alternatives should be pursued by the Cato Springs city council?
CF (Benefits for Alt
A)
CF (Benefits for Alt
EOY
CF (Costs for Alt A)
CF (Costs for Alt B)
B)
$7,590,000
$10,310,000
1
$2,240,000
$1,400,000
$3,360,000
$2,200,000
$400,000
$2,596,000
$600,000
$3,755,000
$600,000
$3,003,600
$800,000
$4,056,600
4
$800,000
$3,446,100
$1,000,000
$4,377,300
5
$1,000,000
$3,651,400
$1,200,000
$4,624,800
$1,200,000
$3,876,600
$1,400,000
$4,949,800
7
$1,400,000
$4,135,700
$1,600,000
$5,365,600
8
$1,600,000
$4,506,400
$1,800,000
$5,649,600
9
$1,800,000
$5,458,900
$2,000,000
$6,252,300
10
$2,000,000
$6,987,400
$2,200,000
$10,850,200
Determine and rank the present worth of the costs for the alternatives.
Click here to access the TVM Factor Table calculator.
Alternative A's PW(C) = $
Alternative B's PW(C) = $
Carry all interim calculations to 5 decimal places and then round your final answers to a whole number. The tolerance is +100.
has a smaller present worth of costs, so it should be denoted Alternative 1. Respectively,
has a
higher present worth of costs and should be denoted Alternative 2. Assume that "Do nothing" is Alternative 0.
Calculate the ratios of present worth of benefits to present worth of costs for each pair of alternatives.
Incremental Investment
Incremental B/C
Alternative to be selected
1-0
Carry all interim calculations to 5 decimal places and then round your final answers to 3 decimal places. The tolerance is ±0.005.
Based on the results above, which, if either, of the alternatives should be pursued by the Cato Springs city council?
v should be recommended.
2.
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