X2=_____ (round your response to two decimal places).

Optimal solution value Z =_____ (round your response to two decimal places).

Consider the following LP problem developed at Zafar Malik's Carbondale, Illinois, optical scanning firm: 1209 Maximize 110- 100- Subject to: C1 Z= 1X1 + 1X2 2X1 + 1X2 5 100 1X1 + 2X2 = 100 X4,X220 (C1) (C2) 90- + 80- 70- On the graph on right, constraints C, and C2 have been plotted. $ 607 50 a) Using the point drawing tool, plot all the corner points for the feasible area. Isoprofit Line 40- 30- 20- 10- 0 The optimum solution is: Xy = 33.33 (round your response to two decimal places). X2 = = 33.33 (round your response to two decimal places). Optimal solution value Z = 66.667 (round your response to two decimal places). 0 80 90 100 110 120 10 20 30 40 50 60 70 X1 b) If a technical breakthrough occurred that raised the profit per unit of X, to $3, due to this change, the optimal solution changes As a result of the technical breakthrough, the optimum solution is: X1 = (round your response to two decimal places). Coleman Rich Control Devices, Inc., produces custom-built relay devices for auto makers. The most recent project undertaken by Rich requires 14 different activities. Rich's managers would like to determine the total project completion time (in days) and those activities that lie along the critical path. The appropriate data are shown in the following table: Time (days) Time (days) m b Immediate Predecessor(s) Activity a a m b Activity H