2. You are the manager of a public transportation system in Capitol City. The city has recently purchased four new monorail trains for use on their suburban routes, which link the suburbs to the city center. You can use the trains on either of two routes - the Springfield line or the Shelbyville line. There is no difference in the cost to the city for choosing one route or the other. Given recent concerns over increased highway traffic coming into the city, your goal is to allocate the trains so that they have the most riders possible, thus reducing highway traffic by the largest amount possible. You are given the following data, where average product represents the average number of riders per train, and marginal product represents the additional riders taken by one extra train on the line: Number of Springfield Line Shelbyville Line Trains AP MP AP MP 0 0 0 100 100 130 130 2 100 100 120 1 10 3 100 100 110 90 4 100 100 100 70 How many trains should you place on each line in order to maximize the number of riders? How do you know this