The LPP maximize z = 2x+5y subject to x+3y 6, 2x+6y 18, x 0, y 0 has

MHT CET 2026 Mathematics question

Not in JEE syllabus

The LPP maximize subject to has

(A)Unique solutionCorrect
(B)Infinite solutions
(C)No solution
(D)Unbounded feasible region

Answer: (A)

Solution

The second constraint is , which is automatically satisfied when , so it is redundant. The feasible region is the triangle with vertices , and (bounded and non-empty). Values of : at , ; at , ; at , . The maximum

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Question ID VK-101534