Question: 14) Consider the linear program max 5x-10x s.t. 1x1x + 2x3+4x5 = 2 1x1 + 1x2+2x4+ X5 = 8 X1,..., X5 20 a) Compute

14) Consider the linear program max 5x-10x s.t. 1x1x + 2x3+4x5 = 2 1x1 + 1x2+2x4+ X5 = 8 X1,..., X5 20 a) Compute the basic solution corresponding to x3 and x4 basic, and explain why it provides an appropriate place for the rudimentary simplex to begin its search. b) Starting from the basis of part (a), apply rudimentary simplex to compute an optimal solution to the given LP.

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