# Navarro_Priscilla_Homework04.docx - Priscilla Navarro MGMT...

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Priscilla NavarroMGMT 651 – Analytics for Managerial Decision-MakingHomework 4Submit your homework as one single attachment. IncludePOM-QM input and output screenshots whereverapplicable.If you submit your homework as an MS-Excel document, make sure that it is properlyformatted to 8.5x11 page size!!1of7
1.(15 points) Chapter 6 Problem 2a.x11: Amount shipped from Jefferson City to Des Moinesx12: Amount shipped from Jefferson City to Kansas Cityx23: Amount shipped from Omaha to St. LouisMin14x11+9x12+ 7x13+ 8x21+ 10x22+ 5x23x11+x12+x1330x21+x22+x2320x11+x21= 25x12+x22= 15x13+x23= 10x11,x12,x13,x21,x22,x23,0b.Optimal Solution:AmountCost (\$)Jefferson City - Des Moines570Jefferson City - Kansas City15135Jefferson City - St. Louis1070Omaha - Des Moines20160Total4352.(15 points) Chapter 6 Problem 3a.1Hamilton3Clermont2Butler2Northwest1Southern102015121518400200300500400Submit your homework as one single attachment. IncludePOM-QM input and output screenshots whereverapplicable.If you submit your homework as an MS-Excel document, make sure that it is properlyformatted to 8.5x11 page size!!2of7
b.Letxij=amount shipped from supply nodeito demand nodej.Min10x11+20x12+15x13+12x21+15x22+18x23s.t.x11+x12+x13500x21+x22+x23400x11+x21=400x12+x22=200x13+x23=300xij0for alli,jc.Optimal SolutionAmountCostSouthern - Hamilton200\$2000Southern - Clermont3004500Northwest - Hamilton2002400Northwest - Butler2003000Total Cost\$11,900d. The new optimal solution is:AmountCostSouthern - Hamilton300\$3000Southern - Clermont3004500Northwest - Hamilton1001200Northwest - Butler3004500Total Cost\$13,200The new optimal solution is:AmountCostSouthern - Hamilton200\$2000Southern - Clermont3004500Northwest - Hamilton2002400Northwest - Butler3004500Total Cost\$13,400

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