Problem $5$

For the problem stated below, use the big M method to find the optimal solution.

minz$=2x_1+3x_2$

$st0\mathrm{.}5x_1+0\mathrm{.}25x_{2}4$

$x_1+3x_{2}20$

$x_1+x_2=10$

$x_1,x_2,>0$