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Exercises 65<br />

all of the ‘benefit attributes’. She is then asked to imagine that each<br />

attribute could be switched to its best possible value and asked to<br />

rank the attractiveness of these possible switches. Her ranks are<br />

given as:<br />

Rank Switch<br />

1 Lowest maximum loan facility to highest<br />

2 No telephone banking facility to existence of this facility<br />

3 Non-availability of small business adviser to availability<br />

4 Least close branch to closest branch<br />

(a) SMARTER has been used to obtain scores to represent the<br />

aggregate benefits of the banks and these are given below:<br />

Bank Aggregate score<br />

Central 35.4<br />

Northern 62.5<br />

Direct 83.5<br />

Royal 29.0<br />

Marks 30.6<br />

Show how the score of 35.4 for the Central bank was determined.<br />

(b) Explain why it was appropriate to consider swings (or switches)<br />

from the worst to best positions on each attribute when determining<br />

the weights of the attributes.<br />

(c) By taking into account the estimated annual charges of the<br />

banks, determine which banks lie on the efficient frontier.<br />

Explain the significance of the efficient frontier.<br />

(d) SMARTER is based on the ‘principle of heroic approximation’.<br />

Explain how this principle applies to your analysis of the<br />

businesswoman’s problem and discuss whether it is likely to<br />

be appropriate.<br />

(8) A food company has to buy a new packaging machine and the list of<br />

possible machines has been reduced to five: the Allstar, Belle, Cardigan,<br />

DRT and Ellton. The decision on which machine to buy will<br />

be based on five attributes: (i) costs, (ii) the quality of the after-sales<br />

service provided by the supplier (AFTER SALES), (iii) the extent<br />

to which the supplier will customize the machine to meet the specific<br />

needs of the food manufacturer (CUSTOMIZATION), (iv) the<br />

earliest date when the machine can be delivered (DELIVERY) and<br />

(v) the machine’s reputation for reliability (RELIABILITY).

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