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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. Click here to view the shipping data. a. What is the minimurh cost of shipping? Total Cost (Type an integer or a decimal. Do not round.) 1 Cost of Shipping Data Atlanta Seattle San Francisco Las Vegas Tucson Denver Charlotte Minneapolis Fayetteville Birmingham Orlando Cleveland Philadelphia Supply $2.15 $2.10 $1.75 $1.50 $1.20 $0.65 $0.90 $0.80 $0.35 $0.15 $0.60 $0.50 41,300 Lexington $1.95 $2.00 $1.70 $1.53 $1.10 $0.55 $0.60 $1.05 $0.60 $0.50 $0.25 $0.30 33,000 Milwaukee $1.70 $1.85 $1.50 $1.41 $0.95 $0.40 $0.40 $0.95 $0.70 $0.70 $0.35 $0.40 15,200 Salt Lake City $0.60 $0.55 $0.35 $0.60 $0.40 $0.95 $1.00 $1.10 $1.35 $1.6 $1.60 $1.70 17,000 Demand 4,500 17,000 4,200 3,700 4,700 7,500 3,500 9,500 3,100 13,000 9,500 14,000