(a) What is a linear programming problem with multiple optimal solutions? How do we find if a given linear programming problem has multiple optimal solutions? Give a real world example of a linear programming problem where multiple optimal solutions may occur.
(b) What are the different parts of a linear programming problem? Briefly describe each part. Given a real world problem, how will you formulate each part to develop a linear programming model for it?
(c) Briefly describe the important parts of each step needed to make a decision using decision sciences models.
(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.