Question: Microsoft ships its Surface Pro laptops from its assembly plants in China, Thailand and Singapore to its distribution centres (DCs) in Seattle and Minneapolis, before

Microsoft ships its Surface Pro laptops from its

Microsoft ships its Surface Pro laptops from its assembly plants in China, Thailand and Singapore to its distribution centres (DCs) in Seattle and Minneapolis, before being distributed to the demand centres in the US (Salt Lake City, New York and Austin). The supply, demands, and the handling capacities at each of the distribution centres are given in the tables below. The tables include the respective shipping costs ($/unit) for each origin to destination pair. Distribution Centre (DC) 4. Seattle 5. Minneapolis $10 $11 $8 $6 Assembly Plant 1. China 2. Thailand 3. Singapore Capacities at DCS (number of units) Supply (number of units) 1,000 2,000 2,500 $7 $8 1,500 2,800 DCs 4. Seattle 5. Minneapolis Demand (number of units) 6. Salt Lake City $6 $8 Demand Centres 7. New York $9 $11 8. Austin 12 13 1,000 2,000 1500 Microsoft wishes to ship as many Surface Pros out of her assembly plants as possible yet minimizing overall shipping costs. Develop an integer programming model to help Microsoft solve this

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