Problem 1: Transportation The following table shows the unit shipping cost between the factory and distribution center, the demand at each distribution center, and the capacity of each factory. Determine the optimal assignment of factories to distribution centers. Factory A Factory B Factory C Demand Distribution Center 1 $ 15 $ 35 $ 17 2000 Distribution Center 2 $ 25 $20 $ 10 500 Capacity 1000 1500 300 Formulate the problem as a linear program, and solve. Define decision variables. Define objective functions. Define the constraint for the Factory A Define the constraint for the distribution center 2