Question: Problem 2: At a machine tool plant, five jobs must be completed each day. The time it takes to do each job depends on the

Problem 2: At a machine tool plant, five jobs

Problem 2: At a machine tool plant, five jobs must be completed each day. The time it takes to do each job depends on the machine used to do the job. If a machine is used at all, there is a setup time required. The relevant times are given in the following table: 5 Machine 1 2 3 Job 1 2 3 42 70 93 85 45 58 X 58 X 55 60 4 X 37 Machine Setup Time (Minutes) 30 40 50 60 20 X 38 4 5 54 X Formulate an integer linear program to minimize the sum of the setup and machine operation times needed to complete all of the jobs

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