Question: NEED THE ANSWER FAST PLEASE :( Question 11 20 points Save Ans There are four employees and three machines in a job-shop and production manager

NEED THE ANSWER FAST PLEASE :(

Question 11 20 points Save Ans There are four employees and three machines in a job-shop and production manager wants to assign the employees to the machines to minimize the production time per unit. The timetable below shows the number of minutes spent by each employee on each machine: Machine Employee 1 2 3 A 8 18 17 B 11 15 20 c 12 19 14 D 13 12 25 You see below a linear programming model that assigns each employee to only one machine, which ensures the minimum unit production time. Z: Unit Production time Xij = 1 if employee i is assigned to j, 0 otherwise where i = (A, B, C, D) j=(1,2,3) Min Z = 8XA1 + 18XA2 + 17XA3 + 11XB1 + 15XB2 + 20XB3 + 12Xc1 + 19XC2 + 14XC3 + 13XD1 + 12XD2 + 25XD3 s.t. XA1 + XA2 +XA3 S 1 XA1+XB1 + Xc1 + XD1 = 1 XB1 + XB2 + XB3 = 1 XA2 + XB2 + Xc2 + XD2 = 1 Xc1 + Xc2 + XC3 5 1 XA3 + XB3 + Xc3 + XD3 = 1 XD1 + XD2 + XD3 S1 Xij = 0 or 1 for all i, j What is the minimum unit production time: What is the optimal value of XA1: What is the optimal value of Xc2 : What is the optimal value of XD3 : What is the optimal value of XD2

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