The Bunker Manufacturing firm has five employees and six machines and wants to a

Question

The Bunker Manufacturing firm has five employees and six machines and wants to assign the employees to the machines to minimize cost. A cost table showing the cost incurred by each employee on each machine follows:

Because of union rules regarding departmental transfers, employee 3 cannot be assigned to machine E, and employee 4 cannot be assigned to machine B. Solve this problem, indicate the optimal assignment, and compute total minimum cost.

Formulate and solve this problem as a linear programming model.

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Explanation / Answer

XLS : https://dl.dropboxusercontent.com/u/20998734/assignment-problem.xls

The answer is:

a) 1-B, 2-E, 3-A, 4-C, 5-D

b) Total minimal cost (Z) = 36

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