(d) The aggregate scores for all the candidates are given below, together with their expected salaries. Assuming that the personnel manager's model is appropriate, determine the candidates who appear on the efficient frontier and explain the significance of this. Candidate A B C D E F G Aggregate score 50 31 75 90 20 62 49 Expected salary $46 000 $40 000 $42 000 $60 000 $54 000 $52 000 $42 000

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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As an experiment, a charity decides to use SMART to determine a shortlist from the seven applicants
who have applied for the post of Regional Officer for the Western Region. The main criteria which will
be used to compare candidates are: the salary they would expect (SALARY) (they have stated this on
the application form), their experience of charity work (CHARITY EXP), their managerial experience
(MANAGEMENT EXP), their educational qualifications (EDUCATION), their apparent commitment to
the charity's work (COMMITMENT) (as gleaned from the application form) and the quality of the ideas
they put forward on the form (IDEAS).
Transcribed Image Text:As an experiment, a charity decides to use SMART to determine a shortlist from the seven applicants who have applied for the post of Regional Officer for the Western Region. The main criteria which will be used to compare candidates are: the salary they would expect (SALARY) (they have stated this on the application form), their experience of charity work (CHARITY EXP), their managerial experience (MANAGEMENT EXP), their educational qualifications (EDUCATION), their apparent commitment to the charity's work (COMMITMENT) (as gleaned from the application form) and the quality of the ideas they put forward on the form (IDEAS).
(d) The aggregate scores for all the candidates are given below, together with their expected salaries.
Assuming that the personnel manager's model is appropriate, determine the candidates who appear
on the efficient frontier and explain the significance of this.
Candidate
A
B
C
D
E
F
G
Aggregate score
50
31
75
90
20
62
49
Expected salary
$46 000
$40 000
$42 000
$60 000
$54 000
$52 000
$42 000
Transcribed Image Text:(d) The aggregate scores for all the candidates are given below, together with their expected salaries. Assuming that the personnel manager's model is appropriate, determine the candidates who appear on the efficient frontier and explain the significance of this. Candidate A B C D E F G Aggregate score 50 31 75 90 20 62 49 Expected salary $46 000 $40 000 $42 000 $60 000 $54 000 $52 000 $42 000
Expert Solution
Step 1

The efficient frontier is a concept in portfolio theory which refers to the set of portfolios that provide the maximum expected return for a given level of risk or the minimum risk for a given level of expected return. In this case, the efficient frontier can be used to determine the candidates who provide the best combination of aggregate score (representing the combination of the various criteria) and expected salary.

To determine the efficient frontier, we first need to calculate the trade-off between the aggregate score and expected salary for each candidate. We can do this by plotting a scatterplot of the aggregate scores and expected salaries for each candidate and connecting the points to form a frontier. The candidates who lie on the frontier are considered to be the most efficient, as they provide the best combination of aggregate score and expected salary.

Based on the data provided, the efficient frontier can be calculated as follows:

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