1. ProKick manufactures soccer balls at three factories (labeled A, B, and C), and ships them to stores in California, Arizona, New Mexico, and Texas. Each store has a demand that must be satisfied, each factory has a maximum possible output, and there are different shipping costs (per soccer ball) between factory and store, as tabulated below: Store California Arizona New Mexico Texas Max Factory Output $0.83 $0.78 $0.78 $0.67 $0.73 $0.58 Store Demand 5,000 2,000 Factory A B C $0.59 $0.50 $0.93 4,000 $0.77 $0.93 $0.78 1,000 4,000 7,000 3,000 (a) Formulate a minimum cost transportation problem to satisfy store demand while minimizing shipping costs. Make sure to define your variables and provide a brief descriptive label for each functional constraint. Ignore integrality. (b) Solve the model you created in part (a) using MATLAB or other software.