How would you use the revised simplex method to solve a bounded variables linear programming problem? Consider the following bounded variables linear program:
a. Draw the feasible region in the (x1, x2) space and identify the optimal solution. Is this degenerate? Why or why not?
b. For the extreme point (x1, x2) = (1, 1), identify the working basis B and set up the revised simplex tableau by determining B-1 , cBB-1 , the objective function value, and the basic variable values. Continue solving the problem from this basic feasible solution using the bounded variables revised simplex algorithm.
c. Denote the right-hand-sides of the first two constraints by b1 and b2. What conditions must b1 and b2 satisfy for the optimal partition to remain optimal?
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