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

MHT CET 2024 Mathematics question

Not in JEE syllabus

The maximum value of z = 4x + 2y, subject to the constraints , , is

(A)8
(B)20Correct
(C)24
(D)16

Answer: (B)

Solution

Draw the feasible region: it lies on or above the line , on or below and in the first quadrant. Its corner points are (where meets the x-axis), , and . Evaluate at each corner: , , ,

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Question ID VK-094905