(a) Define the slack and surplus variables. What do they represent? What is (are) the difference(s) between a slack and a surplus variable?
(b) Briefly describe the important parts of each step needed to make a decision using decision sciences models.
(c) What are the different types of special situations that may occur while solving a linear programming problem? Briefly describe each of these special situations.
(d) What are the important properties of a straight line? Briefly describe each property. What are the different types of slopes possible for a straight line? Briefly describe each type of slope and give one example for each type.
- Determine whether the following linear programming problem is infeasible, unbounded, or has multiple optimal solutions. Draw a graph to find the feasible region (if it exists) and explain your conclusion.
Maximize 22xl + 32×2
Subject to:
2xl + x2 < 15
xl > 10
x2 < 10
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