11 In a job shop, six machinists were uniquely qualified to operate any one of the five machines in the shop. The job shop had considerable backlog, and all five machines were kept busy at all times. The one machinist not operating a machine was usually occupied doing clerical or rou- tine maintenance work. Given the value schedule below for each machinist on each of the five machines, develop an optimal assignment. (Hint: Add a dummy column with zero cost values, and solve using the assignment method.)

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MACHINE MACHINIST 1 2 3 4 5 A 65 50 B 30 75 125 C 75 35 D 60 40 E 90 85 F 145 60 8888 60 55 80 50 40 85 95 45 115 13:0 110 40 80 96 55 45 85