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Q.

For the following LPP
Maximise Z = 3x + 4y Subject to constraints
x – y ≥ -1, x ≤ 3 x ≥ 0, y ≥ 0
The maximum value is:

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a

25

b

0

c

4

d

30

answer is C.

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Detailed Solution

The feasible region of the inequalities is given by,
Question Image
 

Corner PointsValue of Z= 3x+4y
A(0,1)Z = 4
B(-1,0)Z=-3
C(3,0)Z=9
D(3,4)Z=25

Thus, the maximum value of Z is 25.

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For the following LPPMaximise Z = 3x + 4y Subject to constraintsx – y ≥ -1, x ≤ 3 x ≥ 0, y ≥ 0The maximum value is: