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.
Minimum value of $F$ is:

A
$0.$
✓
$-16.$
C
$12.$
D
Does not exist.

✓

Answer

Correct option: B.

$-16.$

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

Corner points	Corresponding value of $z = 3x - 4y$
$(0, 0)$	$0$
$(12, 6)$	$12 ($masimum$)$
$(0, 4)$	$-16 ($miminum$)$

We have minimum value of $F$ is $\text{-16 at (0, 4)}.$

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