The Heisenberg Motors auto company has three production plants in Waverly, MI, Kenner, LA, and Santa Monica, CA, and two major distribution centers in Greeley, CO and Austin, TX. The capacities of the three plants for the following month are 1,600, 1,250, and 1,100 cars, and the demands at the two distribution centers for the same period are 1,700 and 2,050 cars. The mileage chart between the plants and the distribution centers is given in the following table: Greeley Austin Waverly 1,174 1,343 Kenner 1,309 497 Santa Monica 1,091 1,391 The trucking company in charge of transporting the cars charges 11 cents per mile per car. Please do the following: 1. Draw a network that depicts the company's distribution network. Identify the supply nodes, transshipment nodes (if any), and demand nodes in this network. Include the data shown in the above table (15 points). 2. Formulate a mathematical model for this problem utilizing the six-step process discussed in class (20 points). 3. Solve this problem utilizing Excel solver and provide the management the appropriate recommendations and expected cost (15 points).