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 43 sections total, there are 4,700 students who would like to take a course, and there are 56 professors to teach them. Sections of Ancient History have 100 students each, sections of Medieval History hold 50 studennts each, and sections of Modern History have 200 students each. Modern History sections are taught by a team of two professors, while Ancient and Medieval History need only one professor per section. How many sections of each course should the chair schedule in order to offer al the sections that they are allowed, accomodate all the students, and give one teaching assignment to each professor? HINT [See example 2.] (Assume each section has the maximum number of students allowed.) Ancient History = Sections Medieval History = Sections Modern History = Sections
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 43 sections total, there are 4,700 students who would like to take a course, and there are 56 professors to teach them. Sections of Ancient History have 100 students each, sections of Medieval History hold 50 studennts each, and sections of Modern History have 200 students each. Modern History sections are taught by a team of two professors, while Ancient and Medieval History need only one professor per section. How many sections of each course should the chair
Ancient History = Sections
Medieval History = Sections
Modern History = Sections
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