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  4. The feasible region of an LPP is shown in the figure . If z = 3x + 9y , then the minimum value of z occurs at

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Q. The feasible region of an LPP is shown in the figure . If $z = 3x + 9y ,$ then the minimum value of z occurs atMathematics Question Image

KCETKCET 2018Linear Programming

Solution:

Corner Points z = 3x + 9y
(5, 5) z = 60
(0, 10) z = 90
(0, 20) z = 180
(15, 15) z = 180

$\therefore $ Minimum value of z occurs at (5, 5)