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

(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) (a) max 411+12 (6) max -1 +372 (c) min -11 -12 s.t. 4r +2258 s.t. 1 + 21, > 4 s.t. 2+1, 54 5x + 2r, -4 T1-T2 >5 2 > 02 > 0 x > 02 > 0 T>> 0

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