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We are evaluating a project that costs $644,000, has an eight-year life, and has

ID: 2643882 • Letter: W

Question

We are evaluating a project that costs $644,000, has an eight-year life, and has no salvage value. Assume that depreciation is straight-line to zero over the life of the project. Sales are projected at 70,000 units per year. Price per unit is $37, variable cost per unit is $21, and fixed costs are $725,000 per year. The tax rate is 35 percent, and we require a 15 percent return on this project. Suppose the projections given for price, quantity, variable costs, and fixed costs are all accurate to within

Explanation / Answer

Statement showing cash flows Best case Worst case Particulars Time PVF Amount PV Amount PV Cash Outlows                                             -                         1.0000            (644,000.00)            (644,000.00)            (644,000.00)                (644,000.00) PV of Cash Outflows            (644,000.00)                (644,000.00) Cash Inflows 1-8                       4.4873              695,140.00          3,119,301.72              (72,510.00)                (325,374.12) PV of Cash Inflows                                             -            3,119,301.72                (325,374.12) NPV          2,475,301.72                (969,374.12) Best case is Sales price and quantity increase by 10% and expenses decrease by 10% Worst case is Sales price and quantity decrease by 10% and expenses increase by 10% Quantity                             77,000.00                 63,000.00 Price                                      40.70                          33.30 VC                                      18.90                          23.10 Contribution per unit                                      21.80                          10.20 Total Contribution                       1,678,600.00               642,600.00 Fixed Costs                           652,500.00               797,500.00 Depreciation(644,000/8)                             80,500.00                 80,500.00 Income                           945,600.00             (235,400.00) Tax @35%                           330,960.00               (82,390.00) Income after Tax                           614,640.00             (153,010.00) Depreciation(644,000/8)                             80,500.00                 80,500.00 Cahs flows after tax                           695,140.00               (72,510.00)

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