MHT CET 2026 Mathematics question

MathematicsLinear ProgrammingMHT CET 2026

Not in JEE syllabus

The difference between the maximum and minimum values of the objective function Z = 3x + 5y subject to the constraints x + 3y 60, x + y 10, x - y 0, x, y 0 is

Answer: (D)

Solution

Feasible region: bounded by , , and . Corner points: with gives (0, 10); with gives (0, 20); with gives (15, 15); with gives (5, 5). Values of : at

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Question ID VK-098553