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The minimum value of linear objective fu...

The minimum value of linear objective function z=2x+2y under linear constraints `3x+2yge12,x+3yge11 and x,y ge0` is

A

10

B

12

C

6

D

5

Text Solution

Verified by Experts

The correct Answer is:
A
The graph satisfying given constraints is shown in figure below.

Now, at C(0,6)
`z=2xx0+2xx6=12`
at `B(2,3),z=2xx2+2xx3=10`
at `A(11,0),z=2xx11+2xx0=22`
Hence, minimum value of the obejctive function is 10 at B(2,3).
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