Solve the following linear programming problem graphically: X2 50- Objective functions 40- Maximize Z = 6X4 +6X2 Subject to: 2X1 +5X2 5 100 3X1 - 4X2 = 12 5X1 +2X2 S 100 X1, X220 30- 1) Using the line drawing tool, plot the constraints by picking two endpoints for each line. Do not plot the nonnegativity constraints. 20- 2) Using the point drawing tool, plot the five corner points which define the feasible region. 10- --- -- --- X1 0+ 0 10 20 30 40 50 (4.29,50)