Modeling Problem (25 points) A company is trying to design its logistics network in the United States. They have three locations for their warehouses in Los Angeles, Dallas, and Richmond. They have three major markets at New York City, San Francisco and Chicago. The following table summarizes data relevant to the distribution problem. The numbers in the following table are the transportation costs per unit from each warehouse to each market. The last column shows the supply capacities and the last row shows the weekly demand quantities. To From New York City San Francisco Chicago Weekly Capacity Los Angeles 70 50 65 700 Dallas 40 75 45 800 Richmond 65 70 80 900 Weekly Demand 500 600 700 Formulate an optimization model to solve this problem such that the total cost, the transportation costs from warehouses to markets, is minimized while demand is satisfied and capacity is not exceeded. You don't need to solve the problem. Please use all numbers in the table rather than define parameters. Note that the points are evenly assigned to your notation definitions, decision variables, objective function, and constraints