Formulate the linear programming problem

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A company manufactures three products: A, B, and C by using three resources. Each unit of product X takes six man hours and twenty hours of machine capacity and two cubic meter of storage places.

Similarly, one unit of product B takes ten man- hours and four machine hours on two cubic meter of storage places and that of each unit products C is ten man-hours, twelve machine hours and two cubic meter of storage place.

The profit contribution of products A,B and C are eight, ten and twelve birr respectively. Formulate the linear programming problem, calculate optimum quantities of products, slacks and total profit and also conduct sensitivity analysis accordingly just using simplex method.

Reference no: EM131373693

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