The maximum value of z=4x+y subject to the constraints x+y 5, 2x+y 7, 3x+2y 11, x 0, y 0 is ...

MHT CET 2026 Mathematics question

Not in JEE syllabus

The maximum value of subject to the constraints is ...

(A)13
(B)8
(C)11
(D)14Correct

Answer: (D)

Solution

Find the corner points of the feasible region. ; on the x-axis the binding constraint is , giving (check and ); intersection of and : , , , (satisfies ); intersection of and : ,

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Question ID VK-100334