$(3)$ Consider the following minimization LP:

min z $=2$x$13$x$2$

s$.$t$.$

x$1+$x$2<=4$

x$1$x$2<=6$

x$1,$ x$2>=0$

$($a$)$ Change the minimization LP into an equivalent maximization LP$.$

$($b$)$ Solve the maximization LP using tableau method. Write down updated tableaus

of all stages.

$($c$)$ What is your optimal solution and value for the original minimization LP$?$