Legend service center just purchased an automobile hoist for $32,400. the hoist has an 8-year life and

Legend service center just purchased an automobile hoist for $32,400. the hoist has an 8-year life and an estimated salvage value of $3,000. installation costs and freight charges were $3,300 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 5 extra mufflers per week. each muffler sells for $72 installed. the cost of a muffler is $36, and the labor cost to install a muffler is $16. (a) compute the cash payback period for the new hoist. (round answer to 2 decimal places, e. g. 10.50.) (b) compute the annual rate of return for the new hoist. (round answer to 1 decimal place, e. g. 10.5.)

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  1. a) 316.52 weeks or 6.09 years

    b) 4.96%

    Explanation:

    F0 cost: 32,400 + 3,300 + 700 = 36,400

    profit per week:

    5 units x (75 sales - 36 materials - 16 materials) = 115

    payback period: time at which the project pay for itself regardless of the time value of money

    36,400  / 115 = 316.52 weeks

    in years: 316.52 / 52 weeks per year = 6.09 years

    annual rate of return:

    net income / investment

    115 contribution per week x 52 week

    - 4,175 depreciation expense* = 1,805 income

    1,805/36,400 = 0.0496 = 4.96%

    * (cost - salvage value)/useful life

        (36,400 - 3,000)/8 = 4,175

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