Write down an integer programming model which would

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Reference no: EM13390255

A workshop has 6 machines that can perform any job assigned to them. The workshop has 10 jobs that it needs to complete over two days. Jobs 1 to 5 must be finished on the first day and jobs 6 to 10 must be finished on the second day. Any of the machines will take a complete day to finish any of the jobs. The workshop manager requires that none of the machines stay idle for the two days. Write an integer programming model that would minimize the total costs of running the 10 jobs. The cost per job per machine is given in Table shown below.

Table:

Job 1 Job 2 Job 3 Job 4 Job 5 Job 6 Job 7 Job 8 Job 9 Job 10

Machine 1 $85 $75 $80 $65 $80 $90 $85 $55 $60 $100

Machine 2 $82 $76 $78 $63 $80 $85 $82 $54 $58 $90

Machine 3 $87 $77 $82 $60 $82 $90 $87 $54 $62 $102

Machine 4 $79 $72 $76 $59 $78 $85 $77 $53 $56 $90

Machine 5 $90 $78 $84 $70 $85 $93 $90 $57 $64 $97

Reference no: EM13390255

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