A linear programming computer package is needed. service. The average wage rate for the part-time employees is $7.60 per hour. The total number of full-time and part-time employees needed varies vith the time of day as shown. 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.r i=2= Noon, etc). Min s.t. 11:00 a.m. Noon 1:00 p.m. 2:00p,m. 3:00p,m. 4:00p,m. 5:00p,m. 6:00p,m. 7:00p,m. 8:00p,m. 9:00p,m. Find the optimal solution. (x1,x2,x3,x4,x5,x6,x7,x8)=( (b) What is the total payroll (in $ ) for the part-time employees? $ How many part-time shifts are needed? shifts Use the surplus variables to comment on the desirability of scheduling at least some of the part-time employees for 3 -hour shifts. This answer has not been graded yet. s.t. 11:00 a.m. Noon 1:00 p.m. 2:00 p.m. 3:00 p.m. 4:00 p.m. 5:00 p.m. 6:00 p.m. 7:00 p.r. 8:00 p.m. 9:00 p.r. Find the optimal solution. 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