Question: cussion Questions 1 Discuss the similarities and differences between minimization and maximization problems using the graphical solution approaches of LP. 2 It is important to

cussion Questions 1 Discuss the similarities and differences between minimization and maximization problems using the graphical solution approaches of LP. 2 It is important to understand the assumptions un- derlying the use of any quantitative analysis model. What are the assumptions and requirements for an LP model to be formulated and used? 3 It has been said that each LP problem that has a feasible region has an infinite number of solutions. Explain. 4 You have just formulated a maximization LP prob- mlye it graphically. What a a 4 You have just formulated a maximization LP prob- lem and are preparing to solve it graphically. What criteria should you consider in deciding whether it would be easier to solve the problem by the corner point method or the isoprofit line approach? 5 Under what condition is it possible for an LP prob- lem to have more than one optimal solution? 6 Develop your own set of constraint equations and inequalities, and use them to illustrate graphically each of the following conditions: (a) an unbounded problem (b) an infeasible problem (c) a problem containing redundant constraints a 7 The production manager of a large Cincinnati manufacturing firm once made the statement, "I would like to use LP, but it's a technique that oper- ates under conditions of certainty. My plant doesn't have that certainty; it's a world of uncertainty. So LP can't be used here." Do you think this statement has any merit? Explain why the manager may have said it. 8 The mathematical relationships that follow were formulated by an operations research analyst at the Smith-Lawton Chemical Company. Which ones are invalid for use in an LP problem, and why? Y 57

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