2.( 20 points) Four companies produces four types of candies. The following table indicates the candies that can be produced by every company. All candies use almost the same labor hour and material. The hourly capacities of the four companies are 250,180,300, and 100 , respectively. The hourly demand for the four candies are 200,150,350, and 100 units, respectively. Determine the schedules for the companies in order to satisfy the daily demands as much as possible. (a) (10 points) Formulate the problem as a maximum flow problem. (b) (5 points) Write down a mathematical model for the maximum flow problem (please define the decision variables clearly and specify the objective function and the constraints explicitly). (c) (5 points) Which alqorithm do you_suggest to solve the problem. Please implement