Solve the Following LP Problem Graphically Using Level Curves $\quad 8 \mathrm { X } _ { 1 } + 12 \mathrm { X } _ { 2 }$

Short Answer

Solve the following LP problem graphically using level curves.
MIN: $\quad 8 \mathrm { X } _ { 1 } + 12 \mathrm { X } _ { 2 }$
Subject to:
$$\begin{array} { l } 2 \mathrm { X } _ { 1 } + 1 \mathrm { X } _ { 2 } \geq 16 \\2 \mathrm { X } _ { 1 } + 3 \mathrm { X } _ { 2 } \geq 36 \\7 \mathrm { X } _ { 1 } + 8 \mathrm { X } _ { 2 } \geq 112 \\\mathrm { X } _ { 1 } , \mathrm { X } _ { 2 } \geq 0\end{array}$$