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 -16at (0, 4).

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