M2 50+ Solve the following linear programming problem graphically: Maximize Z = 4X4 + 4X2 Subject to: 3X4 +5X2 = 150 X4 - 2X2 = 10 5X, +3X2 = 150 X1, X220 40- 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- The optimal solution is X1 = and X2 = (round your responses to two decimal places). = X1 Maximum profit is $ (enter your response as a whole number). 0- 0 10 20 30 40 50 (32.9,5.81) CH