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  4. For the given LPP (Linear Programming Problem) max z=5x+3y 2x+y le 12 3x+2y le 20 x ge 0, y ge 0 the optimal solution set is

Q. For the given LPP (Linear Programming Problem) max the optimal solution set is

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Solution:

Given LPP is First we consider all the inequalities as equations.
Equations
Points


and
3x+2y=20
Now, plot all these points on a graph paper and make a figure.
For intersection point P, solve both equation of lines, we get and then Convex region is TSQD with extreme point and . Now, apply corner point method
Points
Objective function Max








Optimal solution set is on which the objective function is maximize.

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