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An irrigator needs a motor to drive a pump. Alternitive A: $2,500 initial cost,

ID: 1248715 • Letter: A

Question

An irrigator needs a motor to drive a pump. Alternitive A: $2,500 initial cost, 10 year economiclife, $500 salvage, $4,500 per year O & M. Buy a new oneevery 10 years Alternitive B: $3,500 initial cost, 20 year economiclife, $500 salvage, $4,000 per year O&M. Buy a new oneevery 20 years. Compute the net annual cost of each ad select the mosteconomical alternitive. Use i = 6%. An irrigator needs a motor to drive a pump. Alternitive A: $2,500 initial cost, 10 year economiclife, $500 salvage, $4,500 per year O & M. Buy a new oneevery 10 years Alternitive B: $3,500 initial cost, 20 year economiclife, $500 salvage, $4,000 per year O&M. Buy a new oneevery 20 years. Compute the net annual cost of each ad select the mosteconomical alternitive. Use i = 6%.

Explanation / Answer

Alternative “A”                                                       Alternative “B”

Initial Cost -$2,500                                                   Initial Cost - $3,500

Economic Life – 10years                                          Economic Life – 10 years

Salvage Value - $500 peryear                                   Salvage Value - $500 per year

O&M Cost   -   $4,500 peryear                                 O&M Cost - $4,000 per year

Alternative “A”

The Annual Cost of Alternative A is: $2,500 - $500 [1/PVoA(6%,10)] +$4,500

                                                              $2,000 [1/7.360] + $4,500

                                                              $2,000 (0.135869) + $4,500

                                                              $271.738 + $4,500

Alternative “B”

The Annual Cost of Alternative Bis: $3,500 - $500 [1/PVoA(6%,20)] +$4,000

                                                              $3,000 [1/11.470] + $4,000

                                                              $3,000 (0.08718) + $4,000

                                                              $261.54 + $4,000

The Net Annual Cost of Alternative “B”is $4,261.54

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