Solve the following LP using the graphical method.

Clearly show

all constraints,

the feasible region,

at least two iso$-$profit lines and

the point where the optimal solution, if any, is located on the graph.

Mark the optimal solution, if any, on the graph and write the optimal solution clearly $($as we did in class$).$

Do NOT solve the question by computing the objective function value at each corner point and choosing the

best one; instead, use the iso$-$profit lines as we discussed in class.

min,$z=600x_1+400x_2$

$s.t.150x_1+250x_{2}750$

$,4x_1+5x_{2}40$

$,x_1,8$

$,x_{2}6$

$,x_1,x_{2}0$