We are scheduling company interviews at the annual university career fair. Five interview rooms are available. Interviews are conducted from 9 AM to 5 PM. Each company wants all its interviews...

We are scheduling company interviews at the annual university career fair. Five interview rooms are available. Interviews are conducted from 9 AM to 5 PM. Each company wants all its interviews conducted in a single room. The time preferences for the companies are listed in the file P06_91.xlsx. Develop a linear integer model to determine whether five rooms are sufficient to complete the interviews.