The EG Manufacturing has three factories (Purple, Blue, and Orange) and three stores (Alpha, Beta, and Gamma). The following table shows the shipping costs between each factory and store, the factory manufacturing capabilities, and the store capacities. Management would like to keep the stores filled to capacity in order to generate demand. Table 1: Parameters Required for the Problem From To Alpha Beta Gamma Production Capacity Purple $6 $5 $3 Blue $8 $10 $8 $11 $14 $18 7000 Orange Demand 5000 12000 6000 8000 10000 According to the given information answer the following questions.