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6 - APM236 HW6 due Wed March 30 NAME 1 The following matrix...

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Unformatted text preview: APM236 HW6 due Wed. March 30 NAME: 1. The following matrix T consists of columns t j of the nal tableau of a LPP together; and b and c are usual cost and resources vectors. Assume the last three variables were slack variables and the nal basic variables are x 5 , x 1 and x 2 in this order. T = 1 7 0 0 23 14 7- 1 5 7 0 8 14 0 3- 1 0 7 12 7 0 1 2 , b = 12 18 16 , c = 1 2 4 3 a) Determine by how much we can change the values of the resource b 2 without changing the feaibility of the optimal solution. b) Decrease the value of b 2 to 5, and if the optimal solution loses its feasibility use the dual simplex method to nd a new optimal solution (one that is feasible.) Page 1 of 6 APM236 HW6 due Wed. March 30 NAME: c) Back again to the anl tableau as above. Determine the range of values that c 4 can change without changing the optimality of the optimal solution....
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