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Unformatted text preview: Q 1. (50 points) Part a) There are 5 w arehouses identified by w hs100, w hs150, w hs250, w hs400, and w h and four retail outlets identified by rtl50, rtl200, rtl350, and rtl500. C om m odities are ship from w arehouses to retail outlets using trucks. A ssum e that there are no links betw een a w arehouse and a retail outlet if their num ber differs by 200 or m ore (for instance there is betw een w hs100 and rtl150 and rtl200; none exist betw een w hs100 and rtl350 or rtl500.) links that do exist have a capacity of at m ost 20 trucks per w eek. Each w arehouse receive shipm ents every w eek w hich need to be shipped to retail outlets in the sam e w eek. The a shipm ents received in each w arehouse is given in the table below : W arehouse W hs100 W hs150 W hs200 W hs250 W hs400 Shipm ent received 4 5 10 8 3 A lso each retail outlet has a w eekly dem and that needs to be satisfied and these are tabul below : R etail outlet R tl50 R tl200 R tl350 R tl500 D em and 3 12 8 7 E ach truck costs $1.20 for each m ile to operate. T he distance betw een w hs i to retail outle- j | the absolute value of the difference betw een their num bers. For exam ple the distance W hs100 and R tl50 is |100-50|=50. C alculate the m inim um cost w eekly shipm ent schedul w arehouses to retail outlets. A nsw er in a sheet called w arehouses to retail outlets....
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