Question: Hi can you please solve this linear programming problem? Thanks. Circle True or False for each of the following statements. We use LP as an

Hi can you please solve this linear programming problem? Thanks.

Circle True or False for each of the following statements. We use LP as an abbreviation linear programming, (a) (2 points) At an optimal solution to a LP problem, the shadow price of a binding con- straint could be zero. Circle the correct answer: TRUE FALSE (b) (2 points) When solving a LP problem with multiple optimal solutions using the simplex tableau method, in row 0 of an optimal tableau, there must be a zero entry for some not-basic variable. Circle the correct answer: TRUE FALSE (c) (2 points) When solving a LP problem using the big M method, if the objective value of an intermediate tableau (this is the right-hand-side value of row 0) is independent of "M". then the LP problem must be feasible. Circle the correct answer: TRUE FALSE (d) (2 points) Given a LP minimization problem, if we remove one constraint, then the op timal objective value increases. (Assume that the original LP is feasible.) Circle the correct answer: TRUE FALSE fe) (2 points) If a LP problem is unbounded, its dual problem might be unbounded as well. Circle the correct answer: TRUE FALSE

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