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 LPP shown in Fig. 12.12. Let z = 3x - 4y be objective functio. (Maximum value of Z + Minimum value of Z) is equal to:

A
13.
B
1.
C
-13.
✓
-17.

✓

Answer

Correct option: D.

-17.

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

Here, maximum value of Z + minimum value of Z = 15 - 32 = -17.

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