Resource Allocation The Enormous State University History Department offers three courses-Ancient. Medieval, and Modem History-and the department chairperson is trying to decide how many sections of each to offer this semester. The department may offer up to 45 sections total, up to 5,000 students would like to take a course, and there are 60 professors to teach them. (No student will take more than one history course, and no professor will teach more than one section.) Sections of Ancient History have 100 students each, sections of Medieval History have 50 students each, and sections of Modem History have 200 students each. Modern History sections are taught by a team of two professors, while Ancient History and Medieval History need only one professor per section. Ancient History nets the university $10,000 per section, Medieval nets $20,000 per section, and Modem History nets $30,000 per section. How many sections of each course should the department offer in order to generate the largest profit? What is the largest profit possible? Will there be any unused time lots, any students who did not get into classes, or any professors without anything to teach?
Trending nowThis is a popular solution!
Chapter 5 Solutions
Finite Mathematics
- College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning