A local county is considering purchasing some dump trucks for the trash pickups. Each truck will cost $55,000 and have an operating and maintenance cost that starts at $18,000 the first year and increases by $3,000 per year. Assume the salvage value is $12,000 at the end of 5 years and the interest rate is 10%. The equivalent annual cost of owning and operating each truck is most nearly equal to

35,972

Explanation:

The equivalent annual cost can be calculated dividing NPV by the annuity factor

In order to find NPV first

                                   Year1    Year2   Year3   Year4  Year5         Total

Operating and

Maintenance              18000 21000  24000  27000 30000          -

Discount factor(10%)  0.909   0.826   0.751   0.683   0.620           -

Discounted CFs          16362   17346  18024    18411   18600      88,713

Salvage                                                                          12000  

Discount factor(10%)                                                     0.620

Discounted salvage                                                      7440        (7440)

Inital Cost                   (55,000)                                                      (55,000)

NPV                                                                                                136,333

Calculation for EAC

NPV = 136,333

Annuity factor for 5 years = 3.790

Equivalent annual cost = NPV /Annuity factor

Equivalent annual cost = 136,333/3.790

Equivalent annual cost = 35,972