Question
A company has four distribution centers, located in Atlanta, Lexington, Milwaukee, and Salt Lake City, and ships to 12 retail stores, located in Seattle, San
A company has four distribution centers, located in Atlanta, Lexington, Milwaukee, and Salt Lake City, and ships to 12 retail stores, located in Seattle, San Francisco, Las Vegas, Tucson, Denver, Charlotte, Minneapolis, Fayetteville, Birmingham, Orlando, Cleveland, and Philadelphia. The company wants to minimize the transportation costs of shipping one of its products. The per-unit shipping cost from each distribution center to each retail location and the amounts currently in inventory and ordered at each retail location are shown in the accompanying table. Develop and solve an optimization model to minimize the total transportation cost and answer parts a and b. LOADING... Click here to view the shipping data. Atlanta Lexington Milwaukee Salt Lake City Demand Seattle 2.15 1.95 1.70 0.60 5,500 San Francisco 2.10 2.00 1.85 0.55 15,000 Las Vegas 1.75 1.70 1.50 0.35 4,500 Tucson 1.50 1.53 1.41 0.60 3,700 Denver 1.20 1.10 0.95 0.40 4,600 Charlotte 0.65 0.55 0.40 0.95 8,000 Minneapolis 0.90 0.60 0.40 1.00 3,000 Fayetteville 0.80 1.05 0.95 1.10 9,500 Birmingham 0.35 0.60 0.70 1.35 3,300 Orlando 0.15 0.50 0.70 1.60 12,000 Cleveland 0.60 0.25 0.35 1.60 10,000 Philadelphia 0.50 0.30 0.40 1.70 16,000 Supply 40,500 36,300 15,600 15,000.
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