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The maximum value of z=9x+11y subject to...

The maximum value of z=9x+11y subject to 3x+2y`le12,2x+3yle12,xge0,yge0` is

A

44

B

54

C

36

D

48

Text Solution

Verified by Experts

The correct Answer is:
D
We have, Z=9x+11y
Subject to 3x+2y`le12,2x+3yle12` ,brgt On taking given constraints as equation, we get the following graphs.

Intersection point of lines 3x+2y=12 and 2x+3y=12 is `C((12)/(5),(12)/(5))`
Here, OACBO is the feasible region whose corner points are
O(0,0), A(4,0), C`((12)/(5),(12)/(5))` and B(0,4)
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-SOLVED PAPER 2019-MCQS
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