Billy-Sean O'Hagan is John O'Hagan's son and a freshman in college. Billy's 36-gallon tropical fish tank contains three types of carnivorous creatures—baby sharks, piranhas, and squids—and he feeds them three types of delicacies: goldfish, angelfish, and butterfly fish. Each baby shark can consume 1 goldfish, 2 angelfish, and 2 butterfly fish per day; each piranha can consume 1 goldfish and 3 butterfly fish per day (the piranhas are rather large as a result of their diet); while each squid can consume 1 goldfish and 1 angelfish per day. After a trip to the local pet store, Billy-Sean was able to feed his creatures to capacity, and he noticed that 27 goldfish, 27 angelfish, and 45 butterfly fish were eaten. How many of each type of creature does he have?baby sharkspiranhassquids

Let X = Number of baby shark Y = Number of piranhas Z = Number of squids

Answered: Billy-Sean O'Hagan is John O'Hagan's…

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___…
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 44 sections total, there are 4,700 students who would like to take a course, and there are 57 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? HINT [See Example 2.] (Assume each section has the maximum number of students allowed.) Ancient History Medieval History Modern History sections…
A cat breeder has the following amounts of cat food: 120 units of tuna, 110 units of liver, and 70 units of chicken. To raise a Siamese cat, the breeder must use 3 units of tuna, 2 of liver, and 2 of chicken, while raising a Persian cat requires 2, 1 and 3 units respectively per day. If a Siamese cat sells for $13, and a Persian cat sells for $14, how many of each should be raised in order to obtain maximum gross income? Set up the initial simplex tableau. ** Set up the initial simplex tableau for the problem. Let x, be the number of Siamese cats, and let x₂ be the number of Persian cats. Begin by filling in missing terms for constraints. 3x₁ + 2x₂ 5 is the constraint on tuna consumption. 2x₁ + x₂ is the constraint on liver consumption. 2x, +3x₂ s chicken consumption. is the constraint on
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 46 sections total, there are 5,200 students who would like to take a course, and there are 62 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? HINT [See Example 2.] (Assume each section has the maximum number of students allowed.) Ancient History Medieval History Modern History
The Enormous State University History Department offers three courses-Ancient, Medieval, and Modern History-and the department chairperson is trying to decide how many sections of each to offer this semester. They may offer up to 18 sections total, up to 2,000 students would like to take a course, and there are 24 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 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. Ancient History nets the university $3,000 per section, Medieval nets $6,000, and Modern History nets $9,000 per section. How many sections of each course should the department offer in order to generate the largest profit? Ancient History section(s) Medieval…
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 46 sections total, there are 5,100 students who would like to take a course, and there are 62 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?

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