Choose the correct answer from the given four options. The feasib… - Vidyadip

MCQ

Choose the correct answer from the given four options. The feasible solution for a $\text{LPP}$ is shown in. Let $Z = 3x - 4y$ be the objective function.

Minimum of $Z$ occurs at :

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

✓

Answer

Correct option: B.

$(0, 8)$

Corner points	Corresponding value of $Z = 3x - 4y$
$(0, 0)$ $(5, 0)$ $(6, 5)$ $(6, 8)$ $(4, 10)$ $(0, 8)$	$0$ $15 - 2$ $-14$ $-28$ $-32 ($Minimum$)$

Hence, the minimum of $Z$ occurs at $(0, 8)$ and its minimum value is $(-32).$

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