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}=4 x+

3 y

, 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?

Solution:

Corner Points of Feasible Region	Value of $z=(z=4 x+3 y)$
${\O}(0,0)$	${\Z}=4(0)+3(0)=0$
$P(0,40)$	$Z=4(0)+3(40)=120$
$Q(30,20)$	$Z=4(30)+3(20)=180$ (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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