I ONLY NEED HELP WITH QUESTION C. DO NOT COPY PASTE ANSWER. I WILL THUMBS DOWN.

DO NOT COPY PASTE ANSWER. I WILL THUMBS DOWN.

A linear programming computer package is needed. Western Family Steakhouse offers a variety of low-cost meals and quick service. Other than management, the steakhouse operates with two full-time employees who work 8 hours per day. The rest of the employees are part-time employees who are scheduled for 4-hour shifts during peak meal times. On Saturdays the steakhouse is open from 11:00 a.m. to 10:00 p.m. Management wants to develop a schedule for part-time employees that will minimize labor costs and still provide excellent customer 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 with the time of day as shown. Time Number of Employees Needed 11:00 a.m.-Noon 9 Noon-1:00 p.m. 9 1:00 p.m.-2:00 p.m. 9 2:00 p.m.-3:00 p.m. 3 3:00 p.m.-4:00 p.m. 3 4:00 p.m.-5:00 p.m. 3 5:00 p.m.-6:00 p.m. 6 6:00 p.m.-7:00 p.m. 12 7:00 p.m.-8:00 p.m. 12 8:00 p.m.-9:00 p.m. 7 9:00 p.m.-10:00 p.m. 7 One full-time employee comes on duty at 11:00 a.m., works 4 hours, takes an hour off, and returns for another 4 hours. The other full-time employee comes to work at 1:00 p.m. and works the same 4-hours-on, 1-hour-off, 4-hours-on pattern. (a) Develop a minimum-cost schedule for part-time employees. (Let x = 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 30.4x4 + 30.4x2 + 30.4xz + 30.4x4 + 30.4x3 + 30.4x7 + 30.4x2 + 30.4xg s.t. 11:00 a.m. *18 Noon *1 + x2 > 8 1:00 p.m. *1 + x2 + x327 2:00 p.m. x1 + x2 + x3 + x421 3:00p.m. x2 + x3 + x4 +*5> 2 4:00 p.m. *3 21 5:00 p.m. *4 + x3 + xo 6:00 p.m. *3 + xy + xy + xg > 10 7:00p.m. *o + xy + xg > 10 8:00 p.m. x+Xg 26 9:00 p.m. *g > 6 X11 X2 X3 X4 X5, X6, X7, X320 Find the optimal solution. (* 1, X2, X3, X4, X3, X5, Xy, xg) = (8, 0, 0, 0, 2, 0, 4, 6 (b) What is the total payroll (in $) for the part-time employees? $ 608 How many part-time shifts are needed? 20 shifts Use the surplus variables to comment on the desirability of scheduling at least some of the part-time employees for 3-hour shifts. There's 7 employees at a surplus that are scheduled from 2-3PM and 4 from 8-9PM which is the desirability of rotation of employees off sooner Score: 0.64 out of 0.64 Comment: (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 part-time employees. (Let x be the same variables from part a. Let y; = 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 30.40x4 + 22.80y, X s.t. 11:00 a.m. 8 X Noon 1:00 p.m. 1 X 2:00 p.m. 3:00 p.m. 1 X 4:00 p.m. 5:00 p.m. 4 x 6:00 p.m. 6 X 7:00 p.m. 8:00 p.m. 9:00 p.m. Yg Yer Y g, Vor YgZO Xq, X, X, Xq, Xg, X, X, Find the optimal solution. (Xq, X2, X3, X4, X3, X5, X7, Xgr V1, V 21 V 31 V 4. V 51 V 51 V 7. Vgr Vo) = How many part-time shifts are needed, and what is the cost savings compared to the previous schedule? part-time shifts needed 6 cost savings $ 501.60 X A linear programming computer package is needed. Western Family Steakhouse offers a variety of low-cost meals and quick service. Other than management, the steakhouse operates with two full-time employees who work 8 hours per day. The rest of the employees are part-time employees who are scheduled for 4-hour shifts during peak meal times. On Saturdays the steakhouse is open from 11:00 a.m. to 10:00 p.m. Management wants to develop a schedule for part-time employees that will minimize labor costs and still provide excellent customer 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 with the time of day as shown. Time Number of Employees Needed 11:00 a.m.-Noon 9 Noon-1:00 p.m. 9 1:00 p.m.-2:00 p.m. 9 2:00 p.m.-3:00 p.m. 3 3:00 p.m.-4:00 p.m. 3 4:00 p.m.-5:00 p.m. 3 5:00 p.m.-6:00 p.m. 6 6:00 p.m.-7:00 p.m. 12 7:00 p.m.-8:00 p.m. 12 8:00 p.m.-9:00 p.m. 7 9:00 p.m.-10:00 p.m. 7 One full-time employee comes on duty at 11:00 a.m., works 4 hours, takes an hour off, and returns for another 4 hours. The other full-time employee comes to work at 1:00 p.m. and works the same 4-hours-on, 1-hour-off, 4-hours-on pattern. (a) Develop a minimum-cost schedule for part-time employees. (Let x = 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 30.4x4 + 30.4x2 + 30.4xz + 30.4x4 + 30.4x3 + 30.4x7 + 30.4x2 + 30.4xg s.t. 11:00 a.m. *18 Noon *1 + x2 > 8 1:00 p.m. *1 + x2 + x327 2:00 p.m. x1 + x2 + x3 + x421 3:00p.m. x2 + x3 + x4 +*5> 2 4:00 p.m. *3 21 5:00 p.m. *4 + x3 + xo 6:00 p.m. *3 + xy + xy + xg > 10 7:00p.m. *o + xy + xg > 10 8:00 p.m. x+Xg 26 9:00 p.m. *g > 6 X11 X2 X3 X4 X5, X6, X7, X320 Find the optimal solution. (* 1, X2, X3, X4, X3, X5, Xy, xg) = (8, 0, 0, 0, 2, 0, 4, 6 (b) What is the total payroll (in $) for the part-time employees? $ 608 How many part-time shifts are needed? 20 shifts Use the surplus variables to comment on the desirability of scheduling at least some of the part-time employees for 3-hour shifts. There's 7 employees at a surplus that are scheduled from 2-3PM and 4 from 8-9PM which is the desirability of rotation of employees off sooner Score: 0.64 out of 0.64 Comment: (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 part-time employees. (Let x be the same variables from part a. Let y; = 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 30.40x4 + 22.80y, X s.t. 11:00 a.m. 8 X Noon 1:00 p.m. 1 X 2:00 p.m. 3:00 p.m. 1 X 4:00 p.m. 5:00 p.m. 4 x 6:00 p.m. 6 X 7:00 p.m. 8:00 p.m. 9:00 p.m. Yg Yer Y g, Vor YgZO Xq, X, X, Xq, Xg, X, X, Find the optimal solution. (Xq, X2, X3, X4, X3, X5, X7, Xgr V1, V 21 V 31 V 4. V 51 V 51 V 7. Vgr Vo) = How many part-time shifts are needed, and what is the cost savings compared to the previous schedule? part-time shifts needed 6 cost savings $ 501.60 X