# Use duality to solve the following LPP :

$MinZ=10{x}_{1}+6{x}_{2}+2{x}_{3}$

Subject to $-{x}_{1}+{x}_{2}+{x}_{3}\ge 1$

$3{x}_{1}+{x}_{2}-{x}_{3}\ge 2$

${x}_{1},{x}_{2},{x}_{3}\ge 0$

$MinZ=10{x}_{1}+6{x}_{2}+2{x}_{3}$

Subject to $-{x}_{1}+{x}_{2}+{x}_{3}\ge 1$

$3{x}_{1}+{x}_{2}-{x}_{3}\ge 2$

${x}_{1},{x}_{2},{x}_{3}\ge 0$