A company produces cars in Atlanta, Boston, Chicago, and Los Angeles. The cars are then shipped to warehouses in Memphis, Milwaukee, New York City, Denver, and San Francisco. The number of cars available at each plant is as follows: Atlanta - 5,000; Boston - 6,000; Chicago - 4,000; Los Angeles - 5,000. The number of cars given needed in each warehouse is as follows: Memphis - 4,000; Milwaukee - 4,000; New York City - 6,000; Denver - 3,000; San Francisco - 3,000. The unit shipping costs (in dollars per car) between the cities are given in the table below. TO From Memphis Milwaukee New York City Denver San Francisco Atlanta 20 28 29 38 50 24 29 32 Boston 36 33 15 45 56 Chicago 10 47 Los Angeles 45 53 33 20 Formulate an LP to find the least costly way of shipping cars from plants to warehouses to fulfill the demand at each warehouse, and then solve it using What's Best to find an optimal shipping plan. 43 In order to get full points, your answer must consist of (1) (20 points) a mathematical LP model including the definition of decision variables, and (2) (10 points) the optimal shipping plan found using What's Best