Question

The feasible solution for a LPP is shown in Fig. Let Z = 3x – 4y be the objective function. (Maximum value of Z + Minimum value of Z) is equal to

A. 13
B. 1
C. – 13
D. – 17

Answer 1

Value of Z = 3x – 4y, at corner points are –

At (0, 0) = 0

At (0, 8) = -32

At (4, 10) = -28

At (6, 8) = -14

At (6, 5) = -2

At (5, 0) = 15

So, clearly maximum value is at (5, 0)

Maximum value = 15,

Minimum value = -32

So, maximum + minimum = 15 -32

= -17