Please show steps and calculations! Thank you!

Graphically solve the following math program and answer the following questions (do not use Excle, show all your steps): MaxZ=2x1+x2 Subject to: x1+x2x1+2x2x1x1x2x1,x2610520[1][2][3][4][5,6] (a - 10 pts) Plot the feasible region and any two of the Z lines; and identify Z "Increasing" direction. ( b5 pts) provide optimal values for the Z and the decision variables. (c- 5 pts) Calculate the shadow price of b1=6. (d - 5 pts) Calculate the shadow price of b4=2. (e -5 pts) Calculate the allowable increase/decrease of b2=10. (f - 5 pts) Calculate the allowable increase/decrease of b1=5