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CBSE Class 12 Math 2022 Term I Solved Paper

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Question : 45 of 50
Marks: +1, -0
For an L.P.P. the objective function is Z=4x+Z = 4x + 3y3 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:     👈: Video Solution
Corner Points of Feasible Region Value of z=(z=4x+3y)z = (z = 4x + 3y)
O(0,0)O(0,0)Z=4(0)+3(0)=0Z = 4(0) + 3(0) = 0
P(0,40)P(0,40)Z=4(0)+3(40)=120Z = 4(0) + 3(40) = 120
Q(30,20)Q(30,20)Z=4(30)+3(20)=180Z = 4(30) + 3(20) = 180 (Maximum)
R(40,0)R(40,0)Z=4(40)+3(0)=160Z = 4(40) + 3(0) = 160
Thus, Maximum value of zz is at QQ, which is 180 .
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