Question: Please formulate integer linear programming and clearly show all steps and calculations. Lucas County Hospital has four physical test machines of type 1(M1), five of

Please formulate integer linear programming and

Please formulate integer linear programming and clearly show all steps and calculations.

Lucas County Hospital has four physical test machines of type 1(M1), five of type 2(M2), three of type 3(M3) and seven of type 4(M4). Each machine operates 40 hours per week. Lucas County Hospital provide 5 physical test services. The problem is to determine the optimum weekly physical test service quantities using machines. The goal is to maximize total profit from physical test services. The following are machine data and processing requirements(hrs/unit). Formulate integer linear programming

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