Solution:

It is given that: and the constraints , Taking , we have

And, taking we have

Now, plotting all the constrain equations it can be seen that the shaded area is the feasible region determined by the constraints.

The feasible reqion is bounded with four corners and

Therefore, the maximum value can occur at any corner.

On evaluating the value of , we obtain

It can be seen from the above table it’s seen that the minimum value of is . Therefore, the minimum value of the function is at .