Revenues generated by a new fad are forecasted as follows: year $1$ revenues $55,000.$ Year $2$ revenues $45,000.$ Year $3$ revenues $25,000.$ Year $4$ revenues $15,000$ thereafter zero. Expenses are expected to be $40\%$ of revenues, and working capital required in each year is expected to be $20\%$ of revenues in the following year. The product requires an immediate investment of $55,000$ in plant and equipment. A$)$ What is the initial investment in the product? Remember working capital. B$)$ If the plant and equipment are depreciated over $4$ years to a zero salvage value using straight$-$line depreciation, and the firm's tax rate is $40\%,$ what is the project's cash flow each year? C$)$ If the opportunity cost of capital is $10\%$ what is the project NPV$?$ D$)$ What is the project IRR?