The feasible solution for a LPP is shown in Fig. 12.12. Let Z = 3x – 4y be the


objective function. Minimum of Z occurs at


Value of Z = 3x – 4y, at corner points are –


At (0, 0) = 0


At (0, 8) = -32


At (4, 10) = -28


At (6, 8) = -14


At (6, 5) = -2


At (5, 0) = 15


So, clearly minimum value is at (0, 8)

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