Choose the correct answer from the given four options. The feasib… - Vidyadip

Question

Choose the correct answer from the given four options.
The feasible solution for a LPP is shown in. Let Z = 3x - 4y be the objective function.

Minimum of Z occurs at:

(0, 0)
(0, 8)
(5, 0)
(4, 10)

✓

Answer

(0, 8)

Solution:

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

Hence, the minimum of Z occurs at (0, 8) and its minimum value is (-32).

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