Maximize :  z=100x1+200x2 +300 x3
subject to:  x1+ x 2 +x3 ≤100
     4x1 +3x2 + 2x3 ≤320
x1 + x2 +2x3 ≤160
with   x1 ≥0, x2≥0, x3≥ 0
solve the linear programming problem. clearly identify the updated system, basic feasible solution, variable that enters / leaves the basis. state the optimal solution when done. show all work