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The feasible region for an LPP is shown in the Fig. Let F = 3x – 4y be the objective function. Minimum value of F is

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The feasible region for an LPP is shown in the Fig. Let F = 3x – 4y be the objective function. Minimum value of F is

A. 0
B. – 16
C. 12
D. does not exist

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Best answer

F = 3x – 4y

Corner points are (0, 0), (0, 4), (12, 6)

Value of F at corner points –

At (0, 0), F = 0

At (0, 4), F = -16

At (12, 6), F = 12

Clearly, minimum value of F = – 16.

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