MHT CET 2026 Mathematics question

MathematicsLinear ProgrammingMHT CET 2026

Not in JEE syllabus

The corner points of the feasible region determined by a system of linear constraints are (0, 3), (1, 1) and (3, 0). If the objective function is , where , then the condition on p and q such that the minimum of z occurs at both (3, 0) and (1, 1) is

Answer: (C)

Solution

Values of z at the corners: , , . If the minimum occurs at both (3, 0) and (1, 1), these two values must be equal: , i.e. . We also check that this common

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Question ID VK-096134