\begin{tabular}{l|l|l} 5. [-/20 Points] & DETAILS & CAMMIMS16 4.E.025. \end{tabular} MY NOTES A linear programming computer package is needed. varies with the time of day as shown. \begin{tabular}{|l|c|} \hline \multicolumn{1}{|c|}{ Time } & NumberofEmployeesNeeded \\ \hline 11:00 a.m.-Noon & 9 \\ \hline Noon-1:00 p.m. & 9 \\ \hline 1:00 p.m.-2:00 p.m. & 9 \\ \hline 2:00 p.m.-3:00 p.m. & 3 \\ \hline 3:00 p.m.-4:00 p.m. & 3 \\ \hline 4:00 p.m.-5:00 p.m. & 3 \\ \hline 5:00 p.m.-6:00 p.m. & 6 \\ \hline 6:00 p.m.-7:00 p.m. & 12 \\ \hline 7:00 p.m.-8:00 p.m. & 12 \\ \hline 8:00 p.m.-9:00 p.m. & 7 \\ \hline 9:00 p.m.-10:00 p.m. & 7 \\ \hline \end{tabular} (a) Develop a minimum-cost schedule for part-time employees. (Let xi= the number of part-time employees who start work beginning at hour i where i=1=11:00 a.m., i=2= Noon, etc). Min s.t. 11:00 a.m. Noon 1:00 p.m. 2:00 p.m. 3:00 p.m. This answer has not been graded yet. 9:00 p.m. x1,x2,x3,x4,x5,x6,x7,x8,y1,y2,y3,y4,y5,y6,y7,y8,y90 Find the optimal solution. (x1,x2,x3,x4,x5,x6,x7,x8,y1,y2,y3,y4,y5,y6,y7,y8,y9)=() How many part-time shifts are needed, and what is the cost savings (in \$) compared to the previous schedule? part-time shifts needed cost savings