Question
Write the coefficient matrix of the linear program Maximize 3x1 + 5x2 - 10x4 Subject to x1 + x2 + x3 = 6 2x1
Write the coefficient matrix of the linear program Maximize 3x1 + 5x2 - 10x4 Subject to x1 + x2 + x3 = 6 2x1 + x2 + x4 = 10 x1 + 3x2 - x5 = 3 4x1 + 2x2 + 2x4 = 20 xi 0, i = 1, 2, 3, 4, 5. and identify redundant constraints. Remove the redundant constraint and determine if x 0 = (4.5, 1, 0.5, 0, 4.5) is a feasible solution to the resulting linear program. Is x 0 a BFS of the reduced problem? Justify your answer.
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Linear Algebra and Its Applications
Authors: David C. Lay
4th edition
321791541, 978-0321388834, 978-0321791542
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