Solve This Problem Graphically $\quad 7 \mathbf { X } _ { 1 } + 3 \mathbf { X } _ { 2 }$

Essay

Solve this problem graphically. What is the optimal solution and what constraints are binding at the optimal solution?
MIN: $\quad 7 \mathbf { X } _ { 1 } + 3 \mathbf { X } _ { 2 }$
Subject ta:
$$\begin{array} { l } 4 X _ { 1 } + 4 X _ { 2 } \geq 40 \\2 X _ { 1 } + 3 X _ { 2 } \geq 24 \\X _ { 1 } , X _ { 2 } \geq 0\end{array}$$