For an L.P.P. the objective function is {\Z}=4 x+ 3 y, and ...

CBSE Class 12 Math 2022 Term I Solved Paper

Question : 45 of 50

Marks: +1, -0

For an L.P.P. the objective function is Z=4x+ 3y, and the feasible region determined by a set of constraints (linear inequations) is shown in the graph.

Which one of the following statements is true?

Maximum value of Z is at R.
Maximum value of Z is at Q.
Value of Z at R is less than the value at P.
Value of Z at Q is less than the value at R.

Solution: 👈: Video Solution

Corner Points of Feasible Region	Value of z=(z=4x+3y)
O(0,0)	Z=4(0)+3(0)=0
P(0,40)	Z=4(0)+3(40)=120
Q(30,20)	Z=4(30)+3(20)=180 (Maximum)
R(40,0)	Z=4(40)+3(0)=160

Thus, Maximum value of z is at Q, which is 180 .

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