Question: For each of the following problems, create a small example LP problem with no more than 2 determinants and no more than 3 functional constraints,

For each of the following problems, create a small example LP problem with no more than 2 determinants and no more than 3 functional constraints, but use a graph to answer the following questions.

(a)Show the case where the feasible region for LP is unbounded and LP is unbounded when maximized. Explain how to determine that LP is unbounded when maximized using a graph for this problem.

(b)Use the feasible region as in a) above, but show the case where LP has an optimal solution with bounded when maximized by presenting another objective function. In this case, display the optimal solution on the graph and state the values (x1, x2) and the target value (z).

(c)Show the case where the LP does not have a possibility. Explain how you use graphs for this problem to determine that it is not possible.

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