Five independent and mutually exclusive projects are available for funding by certain public agency.
The following tabulation shows the equivalent annual benefits and cost of each. All AW has been calculated. (10ptos)
Project |
Annual Benefits |
Annual Cost |
A |
$1,800,000 |
$2,000,000 |
B |
5,600,000 |
4,200,000 |
C |
8,400,000 |
6,800,000 |
D |
2,600,000 |
2,800,000 |
E |
6.600.000 |
5,400,000 |
B/C of A = 1800000 / 2000000 = 0.9
B/C of B = 5600000 / 4200000 = 1.33
B/C of C = 8400000 / 6800000 = 1.24
B/C of D = 2600000 / 2800000 = 0.93
B/C of E = 6600000 / 5400000 = 1.22
As only projects B, C & E have B/C more than 1, only these will be considered for incremental analysis
Arranging project from lower annual cost to higher cost
B < E < C
Incremental analysis between (E - B)
Incremental B/C of (E-B) = (6600000-5600000) / (5400000-4200000) = 0.83
As incremental B/C is less than 1, B option is selected.
Incremental analysis between (C - B)
Incremental B/C of (C-B) = (8400000-5600000) / (6800000-4200000) = 1.08
As incremental B/C is more than 1, C option is selected.
Finally C option must be selected
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