Question: (3) Every LP with two variables must fall into one of the following cases: Case 1: The LP has an unique solution Case 2: The

(3) Every LP with two variables must fall into one of the following cases: Case 1: The LP has an unique solution Case 2: The LP has multiple optimal solutions Case 3: The LP is Infeasible Case 4: The LP is unbounded Draw the feasible region and two isocost/profit lines and identify which of cases 1-4 apply to each of the following LPs. (each part 2 points) s.t. (a) max 41 +22 s.t. 4.3 + 8 5.0 +213 S 12 10:09 > 0 (6) max -21 +372 8. +20,4 + 8 2-4 11 2012 20 (c) min-11-22 +234 12 5 0 0

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