ENGRI 1101Engineering Applications of ORFall ’09Homework 6The Transportation Problem•Due date: 4:00pm on Friday, October 16, 2009 in the ENGRI 1101 box at the west end of the corridoron the second floor of Rhodes Hall, where it connects to Upson.•Reading assignment: Pages 1-4 in Handout 7 on the transportation problem.•Make sure to put your name, netid, and lab section on the first page and staple the problems in order.1. (50 points) Consider the following problem: there aremwarehouses, where warehouseihas supplysi, for eachi= 1, . . . , m; there arenstores, where storejhas demanddj, for eachj= 1, . . . , n;however, for the firstniunits(whereni≤si) shipped from warehousei, there is a per-unit shippingcharge from warehouseito storejofcijdollars, for eachi= 1, . . . , m,j= 1, . . . , n, whereas forthe remainingsi-niunits there is a surcharge ofpi>0 dollars per unit shipped. Our aim is to findthe shipments that incur the least total cost (that is, the sum of both shipping and shortfall costs).
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