1. The Enormous State University History Department offers three
courses—Ancient, Medieval, and Modern History—and the chairperson
is trying to decide how many sections of each to offer this
semester. The department is allowed to offer 45 sections total,
there are 5,200 students who would like to take a course, and there
are 61 professors to teach them. Sections of Ancient History have
100 students each, sections of Medieval History hold 50 students
each, and sections of Modern History have 200...