You are consulting a major metropolitan city. Each workday 3…
You are consulting a major metropolitan city. Each workday 300,000 people enter the city by bus or metro. If by metro, it takes an average fixed amount of time for the commute which is 30 minutes. If traveling by buses, it takes 20 minutes plus another 1 minute for every 10,000 commuters taking the buses (i.e., the buses slow down as the number of commuters goes up). Let y = the number of people taking buses. The city wants to minimize the average travel time for all commuters. Write a linear optimization function to find the value of y that achieves the city’s objective.