Module 6 Chapter Questions - Chapter 10 problems: Problem 3...

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Chapter 10 problems:Problem 3ToFromHamiltonButlerClermontSouthern Gas102015Northwest Gas121518400500200400300X11Southern Gas to HamiltonX12Southern Gas to ButlerX13Southern Gas to ClermontX21Northwest Gas to HamiltonX22Northwest Gas to ButlerX23Northwest Gas to ClermontTransportation cost from Southern Gas = 10x11+ 20 x12+ 15 x13Transportation cost from Northwest Gas = 12x21+ 15 x22+ 18 x23ConstraintsX11+ X12 + X13 <_ 500 Southern Gas supplyX21+ X22 + X23 <_ 400 Northwest Gas supplyMin X11+ X12 + X13 + X21+ X22 + X23s.t. X11+ X12 + X13<_500X21+ X22 + X23<_400X11X21<_400X12X22<_200X13X23<_300
X112002000X120.000.00X133004500X212002400X222003000X230.000.00TFV $11900RouteUnits ShippedCost per UnitTotal CostFromToSouthern GasHamilton200102000Southern GasClermont300154500Northwest GasHamilton200122400Northwest GasButler20015300011,900Problem 15ClientStatisticianABC1150210270217023022031802302254160240230
ClientStatistician 1 to client A X11Statistician 2 to client A X21Statistician 1 to client B X12Statistician 2 to client B X22

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200, statistician, Hamilton Clermont Hamilton Butler, X43 X11 X21, X11 X21 X31, X12 X22 X32

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