Sensitivity Analysis: Complete the following problems on $($Good$-$to$-$Go Suitcase Company$)$ in Chapter $4$ from your textbook. $($Note: All information you need to answer the questions are given in the tables shown. If necessary, use separate sheet of paper for work$).$ All analysis must be done on paper. Show all work and calculations on paper to support your answers.

$($a$)$ Problem $4-22,$ Page $228,$ all parts.

$($b$)$ The optimal solution to Luxury models is $0$ units. Explain why. Further tell what kind of impact the company may experience if the company forces itself to make at least one Luxury model.

$($c$)$ The company has an opportunity to get $150$ additional hours finishing time, but at a cost of $$14$ per hour rather than the current $$9.$ Is it profitable for the company to get these additional hours? If so$,$ what is the affect on the optimal profit? Will the current optimal solution change?

$($d$)$ The company management is planning to reduce Cutting & Coloring time by $30$ hours, increase Finishing time by $120$ hours, while keeping all other parameters the same. What is the impact on the profit?

$($e$)$ The unit selling price of Standard model will increases by $$2\mathrm{.}85,$ and the unit selling price of Deluxe model decreases by $$2.$ What is the impact of these changes on the optimal solution and the profit made?

variables $S=$ standard, $D=D$ lux $c,L=$Lnxury

$($f$)$ Problem $4-23,$ Page $229.$