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The maximum value of objective function ...

The maximum value of objective function z=2x+3y in the given feasible region is

A

29

B

18

C

14

D

15

Text Solution

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The correct Answer is:
B

`becausez=2x+3y`
At `O(0,0),z=0`
At `A(7,0),z=2xx7+0=14`
At `B(6,2),z=2xx6+3xx2`
`=12+6=18`
and at `C(0,5),z=0+3xx5=15`
From above it is clear that the maximum value of objective function is 18 at B(6,2).
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