Decision Variables Units Produced Objective Coefficient Constraints Electrician Hours Audio Tech Hours Speaker Receiver $50 $120 23 2 3 Profit 4 1 LHS (Amount Used) A=

1. What is the optimal profit if you solve the problem with an integer constraint included?

2. Solve the problem as an LP (no integer constraint). How much would you expect profit to increase if you added an hour of electrician time?

3. Based on the LP problem in question 2, how much would the profit of a speaker need to increase before the optimal solution would include production of speakers?

4. What is the optimal profit if your plant manager says that you are required to produce a minimum of 5 speakers?

\begin{tabular}{|c|c|c|c|c|} \hline \begin{tabular}{l} Decision \\ Variables \end{tabular} & Speaker & Receiver & & \\ \hline Units Produced & & & Profit & \\ \hline \begin{tabular}{l} Objective \\ Coefficient \end{tabular} & $50 & $120 & & \\ \hline Constraints & & & \begin{tabular}{l} LHS (Amount \\ Used) \end{tabular} & \begin{tabular}{l} RHS (Amount \\ Available) \end{tabular} \\ \hline Electrician Hours & 2 & 4 &