Choose the correct answer from the given four options. Let F = 3x… - Vidyadip

MCQ

Choose the correct answer from the given four options.

Let $F = 3x - 4y$ be the objective function. Maximum value of $F$ is:

A
$0.$
B
$8.$
✓
$12.$
D
$-18.$

✓

Answer

Correct option: C.

$12.$

The feasible region as shown in the figure, has objective function $F = 3x - 4y$

Corner points	Corresponding value of $Z = 3x - 4y$
$(0, 0)$ $(12, 6)$ $(0, 4)$	$0$ $12 ($maximum$)$ $-16 ($minimum$)$

Hence, the maximum value of $F$ is $12.$

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