Question 2: Five jobs are assigned to five different machines. The cost of producing the ith job on the th machine is given below. Assign the job to different machine so as to minimize the total cost. A B D E Job Machines 1 1 2 3 4 5 9 1 0 19 12 3 17 14 3 8 1 13 8 0 13 20 11 5 6 5 4 5 2 1 Hint: a. Construct the reduced matrix and then the modified matrix to reach the optimal matrix. b. Decide the optimal assignment, then calculate the optimal (minimum) total cost