Question

Cougar Athletics is soliciting bids on a 3-year contract to produce 5,000 t-shirts per year to be given away at athletic events. You have decided to bid on the contract. It will cost you $4 per shirt in variable costs (buying plain t-shirts and paying an employee to imprint them) and $8,000 per year in fixed costs. A t-shirt printing machine will cost $17,500. The machine will be depreciated to zero over its 3-year life and it will not have any salvage value. There are no net working capital implications for the project. If your tax rate is 21% and your required return on this project is 12%, how much would you bid for the contract? State your answer as the annual sales amount (to 2 decimal places, $XX,XXX.XX), not the per-unit price. Write up your solutions by hand and email them to me after the exam (do NOT send a spreadsheet).

Answer 1

$7.1345 per shirt

Step-by-step explanation:

depreciation expense per year = $17,500 / 3 = $5,833

initial outlay = -$17,500

cash flow year 1 = [(5,000X - $20,000 - $8,000 - $5,833.33) x 0.79] + $5,833.33 = 3,950X - $20,895

cash flow year 2 = [(5,000X - $20,000 - $8,000 - $5,833.33) x 0.79] + $5,833.33 = 3,950X - $20,895

cash flow year 3 = [(5,000X - $20,000 - $8,000 - $5,833.33) x 0.79] + $5,833.33 = 3,950X - $20,895

$17,500 = (3,950X - $20,895)/1.12 + (3,950X - $20,895)/1.12² + (3,950X - $20,895)/1.12³

$17,500 = 3,526.79X - $18,656.25 + 3,148.92X - $16,657.37 + 2,811.53X - $14,872.65

$17,500 = 9,487.24X - $50,186.27

$67,686.27 = 9,487.24X

X = $67,686.27 / 9,487.24 = $7.1345 per shirt