Question: 1. (10 points) True or False. (a) (2 points) A linear program (LP) cannot have infinite optimal solutions. True False (b) (2 points) The solution

1. (10 points) True or False. (a) (2 points) A

1. (10 points) True or False. (a) (2 points) A linear program (LP) cannot have infinite optimal solutions. True False (b) (2 points) The solution of an LP can be unbounded. False (c) (2 points) If an LP problem has an optimal solution, it will have a solution at some corner (vertex) of the feasible region. True False (d) (2 points) Suppose the simplex method has explored a certain basic feasible solution (BFS), and deemed it is not optimal. Then, the simplex method will never revisit that BFS or any other BFS with higher objective function value. (Assume you are solving an LP in standard form.) True False (e) (2 points) Adding a constraint to an LP always makes the feasible region smaller. False

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