$10.$ Use Solver to create Answer and Sensitivity Reports for question $25$ at the end of chapter $2$ and answer the following questions: a$.$ If the profit on doors increased to $$700$ would the optimal solution change? b$.$ If the profit on windows decreased to $$200$ would the optimal solution change? c$.$ Explain the shadow price for the finishing process. d$.$ If $20$ additional hours of cutting capacity became available how much additional profit could the company earn? e$.$ Suppose another company wanted to use $15$ hours of Sanderson$$s sanding capacity and was willing to pay $$400$ per hour to acquire it$?$ Should Sanderson agree to this? How $($if at all$)$ would your answer change if the company instead wanted $25$ hours of sanding capacity?