CBSE Class 12 Math 2022 Term I Solved Paper

Question : 28

Total: 50

The corner points of the feasible region for a Linear Programming problem are P(0,5),Q(1,5),R(4,2) and S(12,0). The minimum value of the objective function Z=2x+5y is at the point

Solution: 👈: Video Solution

Corner Points	Value of Z=2x+5y
P(0,5)	Z=2(0)+5(5)=25
Q(1,5)	Z=2(1)+5(5)=27
R(4,2)	Z=2(4)+5(2)=18 Minimum
S(12,0)	Z=2(12)+5(0)=24

Thus, minimum value of Z occurs at R(4,2).

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