As a University event organizer, you need to pick companies to attend the Career Fair. There are several different types of companies (e.g. manufacturing, telecom, consulting) and you have an upper and lower bound on how many companies can represent each industry. You also have a space requirement for each company (e.g. some have large booths and some have small booths) and you have a limit on the total amount of space for the fair. Finally, each company has a value associated with how highly ranked it is by the students. Therefore, you would like to achieve the highest total value of the attending companies. Define all decision variables, parameters generically, and formulate a generic linear model to decide which companies to invite to the fair. b) Suppose that you cannot invite Google unless you also invite Yahoo. How would you incorporate this into your model? c) Suppose that if you invite Google you cannot invite Yahoo. How would you incorporate this into your model? d) Suppose that you can invite Google or Yahoo but not both. How would you incorporate this into your model?