The maximum value of the objective function z = 4x + 6y subject to 3x + 2y 12, x + y 4, x, y 0 is

MHT CET 2024 Mathematics question

Not in JEE syllabus

The maximum value of the objective function subject to , , is

(A)24
(B)46
(C)56
(D)36Correct

Answer: (D)

Solution

Draw the constraints. The line meets the axes at and ; the line meets them at and . The region (below the first line) together with (above the second line) and is the triangle with vertices ,

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Question ID VK-093258