A company manufactures three products: A, B and C by using three resources. Each unit of product x takes six man hours and 0 twenty hours of machine capacity and two cubic meter of storage place.
Similarly, one unit of product B takes ten man- hours, 4 machine capacity and on two cubic meter of storage place and that of each unite of 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 quantity of products, slacks, and total profits and conduct sensitively analysis accordingly just using simplex method.