The point at which the maximum value of x + y subject to constraints x + 2y 70 and 2x + y 95, x 0, y 0 is

MHT CET 2026 Mathematics question

Not in JEE syllabus

The point at which the maximum value of subject to constraints and , , is

(A)(47.5, 0)
(B)(0, 95)
(C)(0, 35)
(D)(40, 15)Correct

Answer: (D)

Solution

The maximum of a linear function over a bounded feasible region occurs at a corner point. Corners: ; on the x-axis gives ; on the y-axis gives ; intersection of and : from the first , so

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Question ID VK-096281