Consider the following linear program and answer the following questions.

Max

2A + 3B

5A + 5B		360	Constraint 1
	1A + 1B		10	Constraint 2
	1A + 3B		90	Constraint 3
	A, B 0

a)Place a number (1, 2, or 3) next to each constraint line to identify which constraint it represents. Select the correct graph.

(c)

Identify the optimal extreme point. What is the optimal solution?

(A, B) =

(d)

Which constraints are binding? Explain.

The optimal solution occurs at the intersection of constraints ---Select--- 1 and 2 2 and 3 1 and 3 , so these are the binding constraints.

(e)

How much slack or surplus is associated with the nonbinding constraint?

Constraint ? 1 2 3 is the nonbinding constraint. There is a ---Select--- surplus slack of associated with this constraint.