a store is considering expanding to offer food for their customers. So far, they have spent $$10,000$ on market research and determined that there would be substantial demand for their food. The cooking equipment would cost $$200,000$ and has an economic life of ten years and will be fully depreciated by the straight$-$line method. They predict that they will sell $10,000$ food dishes per year, with each costing an average of $$8\mathrm{.}00$ to make $($including labor costs$)$ and priced at an average price of $$12\mathrm{.}00.$ Assume that the discount rate is $12$ percent and the tax rate is $20$ percent. Should the coffee shop make the purchase?