1. Wheat is harvested in the Midwest and stored in grain elevators in three different citics-Kansas City, Omaha, and Des Moines. These grain elevators supply three flour mills, located in Chicago, St. Louis, and Cincinnati. Grain is shipped to the mills in railroad cars, each car capable of holding one ton of wheat. Each grain elevator is able to supply the following number of tons (i.e., railroad cars) of wheat to the mills on a monthly basis. Supply 150 Grain Elevator 1. Kansas City 2. Omaha 3. Des Moines Total 175 275 600 tons Each mill demands the following number of tons of wheat per month Mill A. Chicago B. St. Louis C. Cincinnati Total Demand 200 100 300 600 tons The cost of transporting one ton of wheat from each grain elevator (source) to cach mill (destination) differs according to the distance and rail system. These costs are shown in the following table. For example, the cost of shipping one ton of wheat from the grain elevator at Omaha to the mill at Chicago is $7. Grain Elevator A. Chicago B. St. Louis C.Cincinnati SIO 1. Kansas City 2. Omaha 3. Des Moines The problem is to determine how many tons of wheat to transport from cach grain clevator to cach mill on a monthly basis in order to minimize the total cost of transportation. 2. The Atlantic Coast Conference has four basketball games on a particular night. The conference office wants to assign four teams of officials to the four games in a way that will minimize the total distance traveled by the officials. The distances in miles for each team of officials to each game locations are shown in Table. The supply is always one team of officials, and the demand is for only one team of officials at each game. Officials Raleigh Atlanta Durham Clemson 160 200 170 195 120