The solution set for minimizing the function z=x+y with constraints x+y 2, x+2y 8, y 3, x,y 0 contains

MHT CET 2025 Mathematics question

Not in JEE syllabus

The solution set for minimizing the function with constraints , , , contains

(A)x = 0, y= 3
(B)x = 8,y = 0
(C)infinitely many pointsCorrect
(D)x = 2,y = 3

Answer: (C)

Solution

Feasible region: above the line , below and , in the first quadrant. Its corner points are , , , , . Values of : , , , , . The minimum value 2 is attained at two adjacent

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Question ID VK-101813