Consider the following Excel Sensitivity report, concerning the manufacturing of Products 1 , 2 , and 3 with respect to four constraints. Sensitivity Report Variable Cells \begin{tabular}{ccrrrrrr} \hline Cell & Name & Final Value & Reduced Cost & Objective Coefficient & Allowable Increase & Allowable Decrease \hline$\$ B \$ 4$ & Product 1 & 20 & 0 & 8 & 16 & $1 \mathrm{E} +30$ \hline$\$ \mathrm{CS4}$ & Product 2 & 60 & 0 & 12 & $1 \mathrm{E}+30$ & 6 \hline SDS4 & Product 3 & 0 & $-15$ & 15 & 15 & $1 \mathrm{E}+30$ \hline \end{tabular) Constraints \begin{tabular}{lrrrrrr) \hline Cell & Name & Final Value & Shadow Price & Constraint R.H. Side & Allowable Increase & Allowable Decrease \hline$\$ E \$ 7$ & Constraint 1 & 120 & 0 & 200 & $1 \mathrm{E}+30$ & 80 \hline SES8 & Constraint 2 & 20 & $-16$ & 20 & 30 & 20 W \hline SES9 & Constraint 3 & 280 & 0 & 500 & $1 \mathrm{E}+30$ & 220 W \hline ($E$10 & Constraint 4 & 200 & 6 & 200 & 110 & 120 W \hline \end{tabular) a) What is the optimal objective function value? b) Suppose that the objective function coefficient for Product 2 can be increased to 18 . What impact will this have on the current optimal objective function value? c) What would be the impact on the current optimal objective function value if the right-hand-side of Constraint 2 were changed to 25 ? CS.VS. 939