The Dallas Corporation, a firm in the 21 percent marginal tax bracket with a 15 percent required rate of return or cost of capital, is considering a new project. This is a growth project that involves the introduction of a new product. The project is expected to last 5 years and then be terminated. Given the following information, determine the free cash flows associated with the project, the projects net present value, the profitability index, and the internal rate of return.

Cost of new plant and equipment $20,900,000

Shipping and installation costs $ 300,000

Unit sales

Year Units Sold

1. 100,000
2. 130,000
3. 160,000
4. 100,000
5. 60,000

Sales price per unit $500/unit in years 1 through 4, $380/unit in year 5

Variable cost per unit $260/unit

Annual fixed costs $300,000

Working-capital requirements: There will be an initial working- capital requirement of $500,000 just to get production started. For each year, the total investment in net working capital will be equal to 10 percent of the dollar value of sales for that year. Thus, the investment in working capital will increase during years 1 through 3, then decrease in the year 4. Finally, all working capital is liquidated at the termination of the project at the end of year 5.

The depreciation method: Use the simplified straight line method over 5 years. Assume that the plant and equipment will have no salvage value after 5 years.