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DMOR-04-01

# DMOR-04-01 - UF-ESI-6314 Problem Statement page 1 of 8...

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UF-ESI-6314 c6f848d8628c17dc3d3bf7ac26508458f5266c80.xls Problem Statement page 1 of 8 Luther Setzer 1 NASA Pkwy E Stop NEM3, Kennedy Space Center, FL 32899 (321) 544-7435 maximize: subject to: 04-01. Use the simplex method to find the optimal solution to the following problem. Add slacks to the formulation to put it in standard form, and use those slacks as your initial basic variables. z = 3 x 1 + x 2 + x 3 1 x 1 + 1 x 2 + 0 x 3 < 6 0 x 1 + 1 x 2 + 1 x 3 < 12 1 x 1 + 1 x 2 + 2 x 3 < 20 x 1 > 0 x 2 > 0 x 3 > 0

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UF-ESI-6314 c6f848d8628c17dc3d3bf7ac26508458f5266c80.xls Standard Form page 2 of 8 Luther Setzer 1 NASA Pkwy E Stop NEM3, Kennedy Space Center, FL 32899 (321) 544-7435 maximize: subject to: Begin by recasting these equations into standard form using slack variables. 1 z = 3 x 1 + 1 x 2 + 1 x 3 + 0 s 1 + 0 s 2 + 0 s 3 0 z + 1 x 1 + 1 x 2 + 0 x 3 + 1 s 1 + 0 s 2 + 0 s 3 = 6 0 z + 0 x 1 + 1 x 2 + 1 x 3 + 0 s 1 + 1 s 2 + 0 s 3 = 12 0 z + 1 x 1 + 1 x 2 + 2 x 3 + 0 s 1 + 0 s 2 + 1s 3 = 20 x 1 > 0 x 2 > 0 x 3 > 0 s 1 > 0 s 2 > 0 s 3 > 0 This system has m = 4 linear equations in n = 7 variables. Per the instructions of this problem, this requires setting all non-slack variables equal to zero and defining the remaining variables in those terms. Do this to prepare them for simplex modeling.
UF-ESI-6314 c6f848d8628c17dc3d3bf7ac26508458f5266c80.xls Tableaux

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DMOR-04-01 - UF-ESI-6314 Problem Statement page 1 of 8...

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