General lp model to minimize the total cost

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A job-shop needs to assign 4 jobs to 4 workers. The cost of performing a job is a function of the skills of the workers. The below table summarizes the cost of the assignment. Worker 1 cannot do job 3 and worker 3 cannot perform job 4.

a. Formulate this problem using a general LP model to minimize the total cost of this assignment problem.

b. Determine the optimal assignment using Solver via a generalization of a transportation problem.

Worker jobs
50 50 - 20
70 40 20 30
90 30 50 -
70 20 60 70

Reference no: EM132125429

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