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Q. The feasible region for a $LPP$ is shown shaded in the figure.
Let $Z = 3x - 4y $ be the objective function. (Maximum value of $Z$ + Minimum value of $Z$) is equal to
image

Linear Programming

Solution:

maximum value of $Z +$ minimum value of $Z$. $= 15 - 32 = -17$
Corner Points Corresponding value of $Z$
(0,0) 0
(5, 0) 15 (maximum)
(6, 5) -2
(6, 8) -14
(4, 10) -28
(0, 8) -32 (minimum)