In the given graph, the feasible region for a LPP is shaded. The … - Vidyadip

MCQ

In the given graph, the feasible region for a LPP is shaded. The objective function $Z=2 x-3 y$, will be minimum at

A
$(4,10)$
B
$(6,8)$
C
$(0,8)$
D
$(6,5)$

✓

Answer

We have,

Corner points	Value of Z=2x-3y
(0,0)	2xx0-3xx0=0
(0,8)	2xx0-3xx8=-24 (Minimum)
(4,10)	2xx4-3xx10=-22
(6,8)	2xx6-3xx8=-12
(6,5)	2xx6-3xx5=-3
(5,0)	2xx5-3xx0=10

$\therefore \quad$ Value of $Z$ is minimum at $(0,8)$.

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