A linear programming computer package is needed. hour. The total number of full-time and part-time employees needed varies with the time of day as shown. same 4-hours-on, 1-hour-off, 4-hours-on pattern. Min Check which variable(s) should be in your answer. s.t. 11:00 a.m. Enter inequalities using less than (), less than or equal (), or greater than or equal (). Noon Enter inequalities using less than (), less than or equal (), or greater than or equal (). 1:00 p.m. 2:00 p.m. Enter inequalities using less than (), less than or equal (s), or greater than or equal (). 3:00 p.m. Enter inequalities using less than (), less than or equal (), or greater than or equal (). 4:00 p.m. Enter inequalities using less than (), less than or equal (), or greater than or equal (). 5:00 p.m. Enter inequalities using less than (), less than or equal (s), or greater than or equal (). 6:00 p.m. Enter inequalities using less than (), less than or equal (), or greater than or equal (). 7:00 p.m. Enter inequalities using less than (), less than or equal (), or greater than or equal (). 8:00 p.m. (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. (c) Assume that part-time employees can be assigned either a 3-hour or a 4-hour shift. Develop a minimum-cost schedule for the pa a. Let yi= 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.11:00a.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.m. 8:00 p.m. 9:00 p.m. x1,x2,x3,x4,x5,x6,x7,x9y1,y2,y3,y4,y5,y6,y7,y8,y90 Find the optimal solution. (x1x2x3x4x5x6x7x9y1y2y3y4y5y6y7y8y9)=( 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 $ (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. (c) Assume that part-time employees can be assigned either a 3-hour or a 4-hour shift. Develop a minimum-cost schedule for the pa a. Let yi= 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.11:00a.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.m. 8:00 p.m. 9:00 p.m. x1,x2,x3,x4,x5,x6,x7,x9y1,y2,y3,y4,y5,y6,y7,y8,y90 Find the optimal solution. (x1x2x3x4x5x6x7x9y1y2y3y4y5y6y7y8y9)=( 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 $