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DMOR-04-01

# DMOR-04-01 - UF-ESI-6314DMOR-04-01 Problem Statementpage 1...

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Unformatted text preview: UF-ESI-6314DMOR-04-01.xls Problem Statementpage 1 of 804-01.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.maximize:z= 3x1+ x2+ x3subject to:1x1+ 1x2+ 0x3 <6x1 + 1x2 + 1x3<121x1+ 1x2+ 2x3<20x1>x2>x3>Luther Setzer1 NASA Pkwy E Stop NEM3, Kennedy Space Center, FL 32899(321) 544-7435UF-ESI-6314DMOR-04-01.xls Standard Formpage 2 of 8Begin by recasting these equations into standard form using slack variables.maximize:1z- 3x1- 1x2- 1x3 + 0s1+ 0s2+ 0s3= subject to:z + 1x1+ 1x2+ 0x3+ 1s1+ 0s2+ 0s3= 6z+ 0x1 + 1x2 + 1x3+ 0s1+ 1s2+ 0s3= 12z+ 1x1+ 1x2+ 2x3+ 0s1+ 0s2+ 1s3= 20x1>x2>x3>s1>s2>s3>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.Luther Setzer1 NASA Pkwy E Stop NEM3, Kennedy Space Center, FL 32899(321) 544-7435UF-ESI-6314DMOR-04-01.xls Tableauxpage 3 of 8These tableaux highlight the basic variable cells in light gray....
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DMOR-04-01 - UF-ESI-6314DMOR-04-01 Problem Statementpage 1...

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