Figure $15\mathrm{.}35$ shows the Solver Sensitivity Report for the Burger Office Equipment scenario from Problems $6$ and $13$ in Chapter $13.$ Using only the information in the Sensitivity Report, answer the following questions, explaining what information you used in the Sensitivity Report.

a$.$ Explain the reduced cost associated with deluxe desks.

b$.$ If $25\%$ of the pine is deemed to be cosmetically defective, how will the optimal solution be affected?

c$.$ The shop supervisor is suggesting that the workforce be allowed to work an additional $50$ hours at an overtime premium of $$\frac{18}{?}$ hour. Is this a good suggestion? Why or why not?

d$.$ If the unit profit for standard desks is increased to $$280,$ how will the optimal solution and total profit be affected?

e$.$ If the unit profit of standard desks is only $$190,$ how will the optimal solution and total profit be affected?

Solver Sensitivity Report for Burger Office Equipment Problem