Solve the following optimization problem using the graphical solution method. Identify what is the optimal solution, what is the optimal objective function value, what are the binding constraints at the optimal solution?

max$3x_1+5x_2$

Subject to

$4x_1+7x_{2}0$

$-4x_1+x_{2}1$

$-x_1+5x_2-2$

a$)$ Use graphical method to solve the problem. Clearly label your constraints, the direction of improvement, and the optimal solution and objective function value.

Optimal solution $x^{**}=$