Solve the following problems using the simplex algorithm and show all of your work (all dictionaries and a list of which variables are basic with their values and which variables are non-basic at each iteration). For each problem, identify if there is a unique optimal solution, if there are multiple optimal solutions (if so find 2), if the problem is degenerate, or if the problem is unbounded C1, 2, 3 20 max 2x2 x3 -2x1 +x2 S3 X1, x2,x30 X2-2X3 5 max