Answered: The Enormous State University History…

Name: The Enormous State University History Department offers three courses-
Uploaded: 2024-03-20T07:07:26.000Z
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Description: 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 in tota

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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 in total, there are 7,400 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 students each, and sections of Modern History 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 all the sections that they are allowed, accomodate all of the students, and give one teaching assigment to each professor? (Assume each section has the maximun number of students allowed.)

Ancient History Sections

Medieval History Sections

Modern History sections

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Step 1

Given

$T h e d e p a r t m e n t i s a l l o w e d t o o f f e r 43 s e c t i o n s i n t o t a l, t h e r e a r e 7, 400 s t u d e n t s w h o w o u l d l i k e t o t a k e a c o u r s e, a n d t h e r e a r e 56 p r o f e s s o r s t o t e a c h t h e m . S e c t i o n s o f A n c i e n t H i s t o r y h a v e 100 s t u d e n t s e a c h, s e c t i o n s o f M e d i e v a l H i s t o r y h o l d 50 s t u d e n t s e a c h, a n d s e c t i o n s o f M o d e r n H i s t o r y 200 s t u d e n t s e a c h . M o d e r n h i s t o r y s e c t i o n s a r e t a u g h t b y a t e a m o f t w o p r o f e s s o r s, A n c i e n t a n d M e d i e v a l H i s t o r y n e e d o n l y o n e p r o f e s s o r p e r s e c t i o n .$

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