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?

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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 28PPS

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