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. 0.4 0.4 Seattle San Franci Las Vegas Tucson Denver Charlotte Minneapd Fayettevil Birmingha Orlando Cleveland Philadelp Supply Atlanta Lexington Milwaukee Salt Lake City Demand 2.15 1.95 1.7 0.6 4500 2.1 2 1.85 0.55 15000 1.75 1.7 1.5 0.35 39001 1.5 1.53 1.41 0.6 3700 1.2 1.1 0.95 42001 0.65 0.55 0.95 7500 0.9 0.6 0.4 1 3000 0.8 1.05 0.95 1.1 9500 0.35 0.6 0.7 1.35 3500 0.15 0.5 0.7 1.6 13000 0.6 0.25 0.35 1.6 9500 0.5 0.3 0.4 1.7 14000 41700 32700 14200 15000 1. List objective function. 2. Identify the decision variables. What decisions would affect your objective? What are the relationships between these decision variables (input) and objective values (output)? 3. Go back to your objective function and complete the formulation. 4. Write down the constraints, in plain English sentences, to identify the types of constraints in your problem 5. Formulate the constraints in math formulations. Be sure to use >>, >,