HW12_sol - E160 Operations Research I Fall 2008 Homework#13...

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E160 Operations Research I Fall 2008 Homework #13 Solution Section 8.3 Problem 6 If the maximum flow = 21, then all packages can be loaded. Problem 8: See figure.
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Problem 16 All arcs from month i workers to Project j have a capacity of 6. All projects can be completed if and only if the maximum flow from source to sink equals 30. Section 8.5 Problem 4 a) All arcs have infinite capacity Arc Shipping Cost Bos-Chic 800 + 80 = $880 Bos-Austin 800 + 220 = $1,020 Bos-LA 800 + 280 = $1,080 Ral-Chic 900 + 100 = $1,000
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Ral-Aus 900 + 140 = $1,040 Ral-LA 900 + 170 = $1,070 Chic-Aus $40 Chic-LA $50 Problem is balanced so no Dummy Point is needed City Net Outflow Boston 400 Raleigh 300 Chicago 0 LA -400 Austin -300 Problem 4b If at most 200 units can be shipped through Chicago, we must add a node Chicago'. Delete the Raleigh-Chicago and Boston- Chicago arcs and insert the following arcs Arc Shipping Cost Arc Capacity Boston-Chicago' $880 Raleigh-Chicago' $1000 Chicago-Chicago' 0 200 Review Section Problem 4
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Extra (which receives Total Supply-Total Demand) must be added so we know how much will be `shipped' out of each production point. Node Rt represents month t
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