Maximum value of $$z=12x+3y$$, subject to constraints $$x\ge0,y\ge0,x+y\ge5$$ and $$3x+y\le9$$ is

Shade the feasible region for the inequations $$x+y\ge2,2x+3y\le6,x\ge0,y\ge0$$ in a rough figure.

The maximum value of $$x+y$$ subject to $$2x+3y\le6,x\ge0,y\ge0$$ is

Write the solution of the following LPP

Maximize $$Z=x+y$$

Subject to $$3x+4y\le12,x\ge0,y\ge0$$.

Which point the value of Z is maximum?