Question: (Q2) (4 points) Consider the following four linear programs: P1 : max {x1 - (2} subject to P2 : max {x1 - x2} subject to

(Q2) (4 points) Consider the following four linear programs: P1 : max {x1 - (2} subject to P2 : max {x1 - x2} subject to P3 : max {x1 - 2} subject to PA : max {x1 -x2} subject to Answer the following questions using graphical solutions. No justifica- tion is needed. (a) Which linear program(s) have a unique optimal solution? (b) Which linear program(s) have empty feasible region? (c) Which linear program (s) have a non-empty feasible region, but no optimal solution? (d) Which linear program(s) have a non-empty feasible region, but no optimal solution

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