Consider the following linear programming problem:

Max Z $=$ $$30$x$1+$ $$10$x$2$

s$.$t$.30$x$1+70$x$2<=210$

$20$x$1+10$x$2<=100$

x$1,$ x$2>=0$

What is maximum Z and the value of x$1$ and x$2$ at the optimal solution?