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An equipment rental firm purchased a new scissor lift to add to its rental fleet

ID: 2495582 • Letter: A

Question

An equipment rental firm purchased a new scissor lift to add to its rental fleet. The scissor lift cost $25,000 and is expected to have a useful life of 2 years. The salvage value at the end of the lift's useful life is estiamted to be $2,000. Maintenance and ownership costs for the lift are estimated to be $6 per hour rented, and the lift is expected to rented for 800 hours per year. Using an MARR of 7%, determine the lowest rental rate that the company should use. Express your answer in $/hr to the nearest cent.

Explanation / Answer

Initial cost = 25,000

Useful life = 2 years

Salvage value = 2,000

Maintenance cost /year= 6 *800 = 4,800

MARR = 7 %

NPW2=0 = -25,000 + (B-4,800)(P/A, 7%, 2) + 2,000(P/F, 7%, 2)

                0= -25000 +(B- 4,800)*1.808 + 2,000*0.873

                0= -25000 + 1.808B-8678.40 + 1746

0= -31932.40 + 1.808B

B = 31932.40 / 1.808 = 17,661.726

lowest rental rate = 17,661.726/ 800 = 22.08

So the lowest rent = 22 / hr