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Graphical solution and linear programming (from Midterm 1 of Fall 2012) Suppose that you are given the following linear programming problem.
Please answer the following questions based on the mathematical formulation and the feasible region representation given above.
a) Draw the feasible region of the LP and determine whether it has infeasibility, unique optimum, alternative optima, or unboundedness? Explain your answer.
b) Now suppose that X1≤2 constraint is removed from the above LP. How does the feasible region change? Will your answer to part a) change? Explain your answer.
c) Now, addition to removing X1≤2, suppose that X2≤2 is also removed. How does the feasible region change? Will your answer to part a) change? Explain your answer.
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