A company manufactures three products: A , B and C by using three resources. Each unit of product…

A company manufactures three products: A, Band Cby using three resources. Each unit of product Xtakes six man hours and 0twenty hours of machine capacity and two cubic meter of storage place. Similarly, one unit of product Btakes ten man-hours and four machine hours on two cubic meter of storage place and that of each unit of products Cis ten man-hours, twelve machine hours and two cubic meter of storage place. The profit contribution of products A, Band Care eight , ten and twelve birr respectively. Formulate the linear programming problem , calculate optimum quantities of products, slacks, and total profits and also conduct sensitivity analysis accordingly just using simplex method.

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