$8.$ MGM Incorporated is evaluating the following project. MGM estimates a weighted average cost of capital of $10\mathrm{.}2\%,$ an after$-$tax cost of debt of $5\mathrm{.}6\%,$ and a cost of retained earnings of $13\mathrm{.}3\%.$ Assume MGM Incorporated finances only through debt and equity. In addition, MGM Incorporated has enough retained earnings so they will not have to issue new common stock. a$.$ What is the NPV of the projects? b$.$ What is the profitability index of the project?