Solve the Following LP Problem Graphically Using Level Curves $\quad 5 \mathrm { X } _ { 1 } + 7 \mathrm { X } _ { 2 }$

Short Answer

Solve the following LP problem graphically using level curves.
MiN: $\quad 5 \mathrm { X } _ { 1 } + 7 \mathrm { X } _ { 2 }$
Subject to: $\quad 4 X _ { 1 } + 1 X _ { 2 } \geq 16$
$6 \mathrm { X } _ { 1 } + 5 \mathrm { X } _ { 2 } \geq 60$
$5 \mathrm { X } _ { 1 } + 8 \mathrm { X } _ { 2 } \geq 80$
$\mathrm { X } _ { 1 } , \mathrm { X } _ { 2 } \geq 0$