The maximum value of z=50x+15y subject to the constraints x+y 60; 5x+y 100; x 0; y 0 is _____ at the point _____

MHT CET 2022 Mathematics question

Not in JEE syllabus

The maximum value of subject to the constraints is at the point

(A)2650, (50, 10)
(B)1000, (20, 0)
(C)900, (0, 60)
(D)1250, (10, 50)Correct

Answer: (D)

Solution

Find the corner points of the feasible region. ; on the x-axis, ; on the y-axis, ; intersection of and : subtract to get , , , so . Values of : at it is ; at

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Question ID VK-093588