$09.(16$ points$)$ A company is considering investing in new machinery. The machinery will cost $$1,500,000$ and will be depreciated using a $5-$year MACRS asset life. The new machinery will replace old machinery that has a book value of $$500,000$ and market value of $$200,000.$ The company expects t sell $100,000$ units each year for the next $5$ years at a $510$ sales price per unit and a $$6$ variable cash cost per unit. The company will incur $$90,000$ in fixed cash operating costs each year. The company expects to sell the machinery at the end of year $5$ for $$150,000.$ What is the investment's IRR? Should the company make the investment? The company's tax rate is $30\%$ and the relevant cost of capital is $20\%.$