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(2) Feasibility. (a) Give necessary and sufficient conditions on the numbers a1 and az so that the following LP: (i) is infeasible, (ii) has an

(2) Feasibility. (a) Give necessary and sufficient conditions on the numbers a1 and az so that the following LP: (i) is infeasible, (ii) has an optimal solution, (iii) is unbounded. max 11 +22 s.t. 0121 +2222 = 1 11, x2 > 0 (b) Repeat the question for the following LP. max 11 +22 s.t. ali + 02.22 0 (2) Feasibility. (a) Give necessary and sufficient conditions on the numbers a1 and az so that the following LP: (i) is infeasible, (ii) has an optimal solution, (iii) is unbounded. max 11 +22 s.t. 0121 +2222 = 1 11, x2 > 0 (b) Repeat the question for the following LP. max 11 +22 s.t. ali + 02.22 0

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