Consider the following projects: Project A has a cost of 75 and uniform annual benefit of 18.8; Project B has a cost of 50 and uniform annual benefit of 13.9; Project C has a cost of 15 and uniform annual benefit of 4.5; Project D has a cost of 90 and uniform annual benefit of 23.8. Using a 5-year analysis with MARR = 10%, which project should be selected using the payback period.
Group of answer choices
Project A
Project D
Project B
Project C
7.
MARR stands for “Minimum Attractive Rate of Return”.
Group of answer choices
True
False
1.
B/C of A = 18.8 * (P/A,10%,5) / 75
= 18.8 * 3.790787 / 75
= 0.95
B/C of B = 13.9 * (P/A,10%,5) / 50
= 13.9 * 3.790787 / 50
= 1.05
B/C of C = 4.5 * (P/A,10%,5) / 15
= 4.5 * 3.790787 / 15
= 1.14
B/C of D = 23.8 * (P/A,10%,5) / 90
= 23.8 * 3.790787 / 90
= 1.002
Only B, C & D qualify for incremental analysis
B/C of (B-C) = (13.9 - 4.5)* (P/A,10%,5) / (50 - 15)
= 9.4 * 3.790787 / 35
= 1.02
B is selected and C is rejected
B/C of (D - B) = (23.8 - 13.9)* (P/A,10%,5) / (90-50)
= 9.9 * 3.790787 / 40
= 0.94
B is selected and D is rejected
Finally B should be selected as per incremental B/C analysis
7.
MARR = Minimum Attractive Rate of Return
Given statement is TRUE
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