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30 January, 11:59

Your company is interested in purchasing a new mini 3D printer to use for product demonstrations. You've identified three suitable alternatives, each with different maintenance and periodic upgrade costs. If you select "Model A" it will cost $5,500 to purchase the printer and will require a one time upgrade in year 3 that will cost $1,500. If you select this model then you expect to receive $2,600 in revenue each year (years 1 through 4). If you select "Model B" it will cost $3,600 to purchase the printer today. This model will require two upgrades, a software upgrade in year 1 which will cost $950 and a hardware upgrade in year 3 which will cost $1,200. However, if you purchase this model it will provide $2,400 in revenue each year (years 1 through 4). Both options will provide four years of productive use. Which of these options (Model A or B) would be the best option for your company to purchase? Assume that MARR = 10%.

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  1. 30 January, 12:23
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    "Model B" would be the best option for the company to purchase.

    Explanation:

    To know which model to choose, we compute the Net Present Values (NPV) of the two models and choose the one with the higher positive NPV as follows:

    Computation of "Model A" NPV

    Year = n Details Cash Flow ($) DF = 1 / (1 + 0.1) ^n PV ($)

    Year 0 Purchase cost (5,500) 1.0000 (5,500)

    Year 1 Cash inflow 2,600 0.9901 2,574

    Year 2 Cash inflow 2,600 0.9803 2,549

    Year 3 Cash inflow 2,600 0.9706 2,524

    Year 3 Upgrade cost (1,500) 0.9706 (1,456)

    Year 4 Cash inflow 2,600 0.9610 2,499

    "Model A" NPV = 3,189

    Computation of "Model B" NPV

    Year = n Details Cash Flow ($) DF = 1 / (1 + 0.1) ^n PV ($)

    Year 0 Purchase cost (3,600) 1.0000 (3,600)

    Year 1 Cash inflow 2,400 0.9901 2,376

    Year 1 Software upgrade (950) 0.9901 (941)

    Year 2 Cash inflow 2,400 0.9803 2,353

    Year 3 Cash inflow 2,400 0.9706 2,329

    Year 3 Hardware upgrade (1,200) 0.9706 (1,165)

    Year 4 Cash inflow 2,400 0.9610 2,306

    "Model B" NPV = 3,659

    Therefore, "Model B" should be chosen because its positive NPV of $3,659 is greater than the positive NPV of $3,189 recorded by "Model A".
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