MHT CET 2022 Mathematics question

MathematicsLinear ProgrammingMHT CET 2022

Not in JEE syllabus

The maximum value of the objective function z = 4x + 5y subject to constraints 2x + 3y 12, 2x + y 8 and x 0, y 0 is

Answer: (C)

Solution

The feasible region is bounded by the axes and the lines and . Corner points: ; on the x-axis the binding line is , giving ; on the y-axis the binding line is , giving ; intersection of the two lines: subtracting, $2y

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Question ID VK-094047