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

ID: 2764098 • Letter: A

Question

An equipment rental firm purchased a new scissor lift to add to its rental fleet. The scissor lift cost $17,000 and is expected to have a useful life of 3 years. The salvage value at the end of the lift's useful life is estimated to be $5,000. Maintenance and ownership costs for the lift are estimated to be $9 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

Solution :

Let 'a' be the per hour rent

calculation

Present value

Initial cost

-          17,000.00

salvage

5000*0.816298

              4,081.49

rent

800*2.624316*a

              2,099.45

2099.45a+4081.49-17000=0

a=12918.51/2099.45 = $ 6 per hour

Year

Discount factor @ 7%

1

0.934579439

2

0.873438728

3

0.816297877

2.624316044

Let 'a' be the per hour rent

calculation

Present value

Initial cost

-          17,000.00

salvage

5000*0.816298

              4,081.49

rent

800*2.624316*a

              2,099.45

2099.45a+4081.49-17000=0

a=12918.51/2099.45 = $ 6 per hour