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Maximise Z=3x+4y Subject to the constr...

Maximise `Z=3x+4y`
Subject to the constraints
`x+yle4,xge0,yge0`

Text Solution

Verified by Experts

Draw the graph of equation `x+y=4`.
Now obtain the feasible region for the inequalities `x+yle4, xge0, yge0`. The convex region is `OAB` whose are `O(0,0),A(4,0)` and `B(0,4)`. Now we will find the value of `z=3x+4y` at each vertex.


Therefore at `x=0, y=4,z` is maximum and the maximum value is 16.
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