capacity, and $60$ hours of finishing capacity. Assume all doors produced can be sold for a profit of $$550$ and all windows can be sold for a profit of $$350.$

Formulate an LP model, then use Solver to create Answer and Sensitivity Reports for your model and answer the following questions.

$($a$)$ If the profit on doors increased to $$600$ would the optimal solution change?

Yes

No

$($b$)$ If the profit on windows decreased to $$225$ would the optimal solution change?

Yes

No

$($c$)$ Explain the shadow price $($in dollars$)$ for the finishing process.

The shadow price for the finishing process is $$\sqrt[\phantom{2}]{0}$

available for finishing to result in

change to the optimal profit.

$($d$)$ If $15$ additional hours of cutting capacity became available, how much additional profit $($in dollars$)$ could the company earn?

$

Sanderson should $,$ agree to this since it would increase $,$ Sanderson's total profit by $

How $($if at all$)$ would your answer change if the company instead wanted $25$ hours of sanding capacity? $($Enter your answer as a positive number in dollars.$)$

Our answer be the opposite $vv,$ since this would decrease $$ Sanderson's total profit by $