Formulate the problem below as a maximum flow problem, find its solution using AMPL, and answer questions a & b.

6-33. Chicken feed is transported by trucks from three silos to four farms. Some of the silos cannot ship directly to some of the farms. The capacities of the other routes are limited by the number of trucks available and the number of trips made daily. The following table shows the daily amounts of supply at the silos and demand at the farms (in thousands of pounds). The cell entries of the table specify the daily capacities of the associated routes. Farm 1 2 3 4 1 30 5 0 40 20 Silo 2 0 0 5 90 20 3 3 100 40 30 40 200 200 10 60 20 (a) Determine the schedule that satisfies the most demand. (b) Will the proposed schedule satisfy all the demand at the farms