Legend Service Center just purchased an automobile hoist for $31,300. The hoist
ID: 2480501 • Letter: L
Question
Legend Service Center just purchased an automobile hoist for $31,300. The hoist has an 8-year life and an estimated salvage value of $3,960. Installation costs and freight charges were $3,510 and $700, respectively. Legend uses straight-line depreciation.
The new hoist will be used to replace mufflers and tires on automobiles. Legend estimates that the new hoist will enable his mechanics to replace 6 extra mufflers per week. Each muffler sells for $71 installed. The cost of a muffler is $37, and the labor cost to install a muffler is $12.
Compute the cash payback period for the new hoist.(Round answer to 2 decimal places, e.g. 10.50.)
Compute the annual rate of return for the new hoist. (Round answer to 1 decimal place, e.g. 10.5.)
Explanation / Answer
Purchased an automobile hoist $ 31,300 Installation costs $ 3,510 freight charges $ 700 Total cost $ 35,510 Less: Estimated salvage value $ 3,960 Adjusted basis $ 31,550 Life of automobile hoist 8 Depreciation per year $ 3,943.75 Number of extra mufflers per week 6 Total number of extra mufflers in year = 6*52 312 SP of mufflers $ 71 Revenue generated in year $ 22,152 Less: Cost of muffler = 37 x 312 $ 11,544 Labor cost for installation = 12 x 312 $ 3,744 Total cost $ 15,288 Gross income = 22152 - 15288 $ 6,864 Less: Installation costs $ 3,510 freight charges $ 700 Cumulative cash flows Cash flow for 1st year $ 2,654 $ 2,654 Cash flow for 2nd year (Since fright cost and installation cost are one time cost) $ 6,864 $ 9,518 Cash flow for 3rd Year $ 6,864 $16,382 Cash flow for 4th year $ 6,864 $23,246 Cash flow for 5th year $ 6,864 $30,110 Cash flow for 6th year $ 6,864 $36,974 Cash flow for 7th year $ 6,864 $43,838 Cash flow for 8th year = 6864+3960 $ 10,824 $54,662 Payback period = 5 years + (35510 - 30110) x 12/10 = 5.94 years ARR for 1st year = 2654/35510 7.47% ARR for 2nd year onwards = 6864 / 35510 19.33%
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