A company is thinking about marketing a new product. Up$-$front costs to market and develop the product are $$12\mathrm{.}12$ Million. The product is expected to generate profits of $$1\mathrm{.}80$ million per year for $28$ years. The company will have to provide product support expected to cost $$266777$ per year in perpetuity. Furthermore, the company expects to invest $$48143$ per year for $14$ years for renovations on the product. This investing would start at the end of year $7.$ Assume all profits and expenses occur at the end of the year. Calculate the NPV of this project if the interest rate is $7\mathrm{.}12\%.$