The feasible region for an LPP is shown in following figure. Find the minimum value of Z=11x+7y.
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From the figure, it is clear that feasible region is bounded with corrdinates of corner points as (0,3),(3,2) and (0,5). Here Z=11x+7y. `therefore x+3y=9 and x+y=5` `Rightarrow 2y=4` `therefore y=2 and x=3` So, intersection points of x+y=5 and x+3y=9 is (3,2) Hence, the minimum value of Z is 21 at (0,3)
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