A Linear Programming Problem is as follows: Maximise / ...

CBSE Class 12 Math 2022 Term I Solved Paper

Question : 38

Total: 50

A Linear Programming Problem is as follows:
Maximise / Minimise objective function Z=2x−y +5
Subject to the constraints
3x+4y≤60
x+3y≤30
x≥0,y≥0
If the corner points of the feasible region are A(0,10),B(12,6),C(20,0) and O(0,0), then which of the following is true?

Maximum value of Z is 40
Minimum value of Z is - 5
Difference of maximum and minimum values of Z is 35
At two corner points, value of Z are equal

Solution: 👈: Video Solution

Corner Points	Value of Z=2x−y+5
A(0,10)	Z=2(0)−10+5=−5 (Minimum)
B(12,6)	Z=2(12)−6+5=23
C(20,0)	Z=2(20)−0+5=45 (Maximum)
O(0,0)	Z=0(0)−0+5=5

S the minimum value of Z is -5.

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