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(e) If the essay questions reduce by 5 points each, what would be the new combination of questions and the maximum number of points gained?

(e) If the essay questions reduce by 5 points each, what would be the new combination of questions and the maximum number of points gained?

Advanced Engineering Mathematics
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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Part E please

Any individual providing psychology services to patients or clients needs the proper certification and licensure. The Examination for Professional Practice in Psychology (EPPP) is a standardized exam used as one metric in the psychologist licensing process for measuring professional competency. Liza is planning to take the test in order to become a volunteer psychologist. She is given 1 hour and 30 minutes to complete the test which contains 10 essay questions and 50 multiple choice questions. An essay question takes 10 minutes to answer and is worth for 20 points. Whereas the multiple choice question takes 2 minutes to answer and is worth 5 points. Liza must complete at least 3 essay questions and at least 10 multiple choice questions. Liza knows the material well enough to get full points on all questions she attempts and wants to maximize the number of points she will get. (a) Formulate a linear programming model for this problem. (b) Determine the feasible region by using graphical method. (c) Find all the extreme point(s) of the feasible region and their points contribution. (d) What is the combination of questions which will allow Liza to gain the maximum number of points possible? (e) If the essay questions reduce by 5 points each, what would be the new combination of questions and the maximum number of points gained?
Transcribed Image Text:Any individual providing psychology services to patients or clients needs the proper certification and licensure. The Examination for Professional Practice in Psychology (EPPP) is a standardized exam used as one metric in the psychologist licensing process for measuring professional competency. Liza is planning to take the test in order to become a volunteer psychologist. She is given 1 hour and 30 minutes to complete the test which contains 10 essay questions and 50 multiple choice questions. An essay question takes 10 minutes to answer and is worth for 20 points. Whereas the multiple choice question takes 2 minutes to answer and is worth 5 points. Liza must complete at least 3 essay questions and at least 10 multiple choice questions. Liza knows the material well enough to get full points on all questions she attempts and wants to maximize the number of points she will get. (a) Formulate a linear programming model for this problem. (b) Determine the feasible region by using graphical method. (c) Find all the extreme point(s) of the feasible region and their points contribution. (d) What is the combination of questions which will allow Liza to gain the maximum number of points possible? (e) If the essay questions reduce by 5 points each, what would be the new combination of questions and the maximum number of points gained?
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