As shown in the figure, OAED is the feasible region.
At A,
in equation
we get,
This is a corner point
At D,
in equation
we get,
This is another corner point
Now, solving the given equations
and
we have
(-)___(-)____(-)____
Using the value of y in the equation, we get
So, the corner point
On evaluating the maximum value of Z, we get
From the above table it’s seen that the maximum value of Z is
.
Therefore, the maximum value of the function Z is
at
.