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UB is hosting a charity event and makes a profit of $14 on each faculty in attendance and $6 on each student in attendance. The number of faculty attending must be between 25 and 65, and the number of students should be between 20 and 35. The total number of attendees should not exceed 80. How many faculty should attend to maximize profit?

UB is hosting a charity event and makes a profit of $14 on each faculty in attendance and $6 on each student in attendance. The number of faculty attending must be between 25 and 65, and the number of students should be between 20 and 35. The total number of attendees should not exceed 80. How many faculty should attend to maximize profit?

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
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UB is hosting a charity event and makes a profit of $14 on each faculty in attendance and $6 on each student in attendance. The number of faculty attending must be between 25 and 65, and the number of students should be between 20 and 35. The total number of attendees should not exceed 80. How many faculty should attend to maximize profit?
Transcribed Image Text:UB is hosting a charity event and makes a profit of $14 on each faculty in attendance and $6 on each student in attendance. The number of faculty attending must be between 25 and 65, and the number of students should be between 20 and 35. The total number of attendees should not exceed 80. How many faculty should attend to maximize profit?
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