The feasible region for an LPP is shown in the Fig. 12.13. Let F = 3x – 4y be the objective function. Maximum value of F is.
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, maximum value of F = 12.