Question: Q1. Consider the following LP: = 1 + 2 .. 1 + 2 9 21 + 2 0 1 22 0 1, 2 0 a.

Q1.

Consider the following LP: = 1 + 2 .. 1 + 2 9 21 + 2 0 1 22 0 1, 2 0

a. Solve the LP using the simplex method.

b. Which of the following best describes the LP: unique optimal solution, infinite optimal solutions, unbounded, or infeasible? Use the results from your simplex tables to justify your answer.

Q2. Solve the following LP using the simplex method. Then graph the feasible region in terms of 1 and 2. Indicate the path of simplex iterations (i.e., use arrows to indicate the basic feasible solutions you found at each step of the simplex method and label the optimal solution). = 41 + 22 .. 21 16 1 + 32 17 2 5 1, 2 0

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