Maximize Z= 3X1 + 4X2
subject to
5X1 + 4X2 < 200
3X1 + 5X2 < 150
5X1 + 4X2 > 100
8X1 + 4X2 > 80
both
X1, X2 > 0
using graphical method of Linear
Programming Problem.
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Linear programming was developed in 1947 by George B. Dantzig, Marshal Wood and their
associates. It deals with the optimization (maximization or minimization) of a function of variables,
known as objective functions. It is a set of linear equalities/inequalities known as constraint.
Basically, linear programming is a mathematical technique, which involves the allocations of
limited resources in an optimal manner on the basis of a given criterion of optimality. Linear
programming is an optimization method applicable for the solution of problems in which the
objective function and the constraints appear as linear functions of decision variables
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