4. Romo Enterprises needs someone to supply it with 124,000 cartons of machine s

Question

4. Romo Enterprises needs someone to supply it with 124,000 cartons of machine screws per year to support its manufacturing needs over the next five years, and you’ve decided to bid on the contract. It will cost you $910,000 to install the equipment necessary to start production; you’ll depreciate this cost straight-line to zero over the project’s life. You estimate that, in five years, this equipment can be salvaged for $74,000. Your fixed production costs will be $329,000 per year, and your variable production costs should be $10.70 per carton. You also need an initial investment in net working capital of $79,000. If your tax rate is 30 percent and you require a return of 11 percent on your investment, what bid price should you submit?

Explanation / Answer

Let the price per unit be x Operating Cashflow = [{(Sale Price - Variable Cost)*124000 - Fixed Cost - Depreciation} * (1-tax rate)] + Depreciation = [(124000*x - 10.70*1240000) - 329000 - 91000]*(1-0.3) + 91000 = (124000x - 1326800 - 42000)*0.7 + 91000 = 86800x - 1222760 + 91000 = 86800x - 1131760 Present Value of Operating Cashflow = (86800x - 1131760)*Annuity Factor at 11% for 5 years = (86800x - 1131760)*3.6959 = 320803.9x - 4182868.41 Initial Cost Machine Cost $910,000.00 Net Working Capital $79,000.00 Total $989,000.00 Terminal Cashflow Net Working Capital $79,000.00 Post tax salvage value of machine (1) $51,800.00 Total $130,800.00 Present Value of Terminal Cashflow = 130800 * PV factor at 11% for 5 years = 130800 * 0.5935 = 77,623.43 Note 1 - 74000 * (1-0.3) As the machine has been depreciated to Zero Value 11% return is achieved when PV of Inflow equals PV of Outflow at 11% Hence, 320803.9x - 4182868.41 + 77623.43 = 989000 or, 320803.9x = 5094244.97 or, x = $15.88

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