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

Question

Choose the correct answer from the given four options.

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

0.
8.
12.
-18.

✓

Answer

12.

Solution:

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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