A contractor needs to assign 4 projects to 5 project managers Each manager can manage only one project and each project can only be assigned to one manager The cost (in $1000) to the contractor depends on the relavant experience expertise of the managers The following table summarize the costs Manager Proj A Proj B Proj C Proj D 1 44 41 38 36 2 48 43 40 38 3 52 50 42 40 4 51 46 46 42 5 49 45 44 39 Formulate a linear programming model to find the assignment that minimize total cost Identify the objective function, the decision variables, and the constraints

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Question: A contractor needs to assign 4 projects to 5 project managers. Each manager can manage only one project and each project can only be assigned

A contractor needs to assign 4 projects to 5 project managers. Each manager can manage only one project and each project can only be assigned to one manager. The cost (in $1000) to the contractor depends on the relavant experience/expertise of the managers. The following table summarize the costs.

Manager	Proj. A	Proj. B	Proj. C	Proj. D
#1	44	41	38	36
#2	48	43	40	38
#3	52	50	42	40
#4	51	46	46	42
#5	49	45	44	39

Formulate a linear programming model to find the assignment that minimize total cost. Identify the objective function, the decision variables, and the constraints.

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