A movie studio is scheduling the release of six films-Fiesta,Glaciers, Hurricanes, Jets, Kangaroos, and Lovebird. No two ofthese films can be released on the same date. The releaseschedule is governed by the following conditions:Fiesta must be released earlier than both Jets and Lovebird.Kangaroos must be released earlier than Jets, and Jets mustbe released earlier than Hurricanes.Lovebird must be released earlier than Glaciers.3. If Glaciers is released earlier than Hurricanes, then each ofthe following could be true except:A Glaciers is released fourth.Ⓑ Jets is released third.C Kangaroos is released second.D Lovebird is released third.E Lovebird is released fifth.

The answer is: E) Lovebird is released fifth Reason: Option E where Lovebird is released fifth…

Answered: A movie studio is scheduling the…

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 45 sections total, there are 4,900 students who would like to take a course, and there are 60 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 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, accommodate all of the students, and give one teaching assignment to each professor? (Assume each section has the maximum number of students allowed.) Ancient History ______sections Medieval History____ sections Modern History___…
There are three nursing positions to be filled at Lilly Hospital. Position 1 is the day nursing supervisor; position 2 is the night nursing supervisor; and position 3 is the nursing coordinator position. There are 13 candidates qualified for all three of the positions. Determine the number of different ways the positions can be filled by these applicants.
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The officers of a high school senior class are planning to rent buses and vans for a class trip. Each bus can transport 72 students, requires 5 chaperones, and costs $1,400 to rent. Each van can transport 8 students, requires 1 chaperone, and costs $120 to rent. Since there are 432 students in the senior class that may be eligible to go on the trip, the officers must plan to accommodate at least 432 students. Since only 50 parents have volunteered to serve as chaperones, the officers must plan to use at most 50 chaperones. How many vehicles of each type should the officers rent in order to minimize the transportation costs? What are the minimal transportation costs? The officers should rent buses and The minimal transportation costs are $ vans to minimize the transportation costs.
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A diabetic patient needs at least 30 units of vitamin A, at least 45 of vitamin C, andat least 30 of vitamin E each day. Each brand X multivitamin capsule contains 4units of A, 6 of C, and 2 of E; each brand Y capsule contains 5 units of A, 3 of C,and 5 of E. If each brand X capsule costs ₱ 6 and each brand Y costs ₱ 9, howmany capsules should the patient take each day in order to minimize the cost?
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