I believe part (c) is correct, please double check. I also have no idea what surplus is associated with this contraint. Please help me. Thanks!

Consider the following linear program. Max 2A + 3B s.t. 5A + 5B S 360 -1A + 1B S 10 1A + 3B 290 A, B 20 Constraint 1 Constraint 2 Constraint 3 The figure shows a graph of the constraint lines. B 100! 80 The AB-coordinate plane is given. There are 3 lines on the graph. The first line enters the window at B = 72 on the positive 60 B-axis, goes down and right, passes through the point (31, 41) crossing the second line, passes through the point (63,9) crossing the third line, and taxits the window at A-72 on the positive A-axis. The second line enters the window at B = 10 on the positive B-axis, goes up and right, passes through the point (15, 25) crossing the third line, passes through the point (31, 41) crossing the first line, and exits the window in the first 20 quadrant. The third line enters the window at B - 30 on the positive B-axis, goes down and right, passes through the point (15, 25) crossing the second line, passes through the point (63, 9) crossing the first line, and exits the window at A - 90 on the positive A-axis. (a) Place a number 01.2. or 3) next to each constraint line to identify which constraint it represents. Select the B 100 80 60 40 20 20 40 60 80 (c) Identify the optimal extreme point. What is the optimal solution? (A,B) = 31,41 X (d) Which constraints are binding? Explain. The optimal solution occurs at the intersection of constraints 1 and 2 so these are the binding constraints. (e) How much slack or surplus is associated with the nonbinding constraint? Constraint is the nonbinding constraint. There is a surplus of 63 X associated with this constraint. Need Help? Read