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Exercises 63
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).
(a) When a value tree was used to identify the above attributes
there was some doubt about whether the attributes IDEAS and
COMMITMENT met Keeney and Raiffa’s criterion of decomposability.
Explain what this means and why the concerns
might be justified.
(b) The personnel manager ranked all the criteria, except salary, in
order of importance and then assigned weights as follows:
COMMITMENT 100
MANAGEMENT EXP 70
IDEAS 65
CHARITY EXP 55
EDUCATION 10
(Note that, on the basis of the application form, all of the
candidates appeared to be equally committed to the charity.)
Discuss whether the method the personnel manager used to
assess these weights is appropriate.
(c) Candidate A’s scores for the non-monetary attributes are given
below:
COMMITMENT 100
MANAGEMENT EXP 10
IDEAS 65
CHARITY EXP 0
EDUCATION 10
Using the weights given in part (b) show how the personnel
manager obtained a score of 50 (subject to rounding) for
this candidate.
(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.