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208 Applying simulation to decision problems<br />

new management team which intends to extend the company’s<br />

range of tableware designs. Trentware’s immediate objective is to<br />

launch a new high-quality product for the Christmas market in<br />

18 months’ time. Over 30 possible designs have been subjected to<br />

both technical analysis (to assess their production implications) and<br />

extensive market research. As a result of this analysis, the number<br />

of potential designs has now been winnowed down to six. Some of<br />

these designs are thought to offer more risk than others because of<br />

changes in fashion, similarities to competing products and possible<br />

production problems. Now one design has to be selected from the<br />

six remaining. Risk analysis has been applied to each of these six<br />

designs and some of the main results are given below:<br />

Design 1 2 3 4 5 6<br />

Mean NPV (£0000) 50 21 20 46 −49 60<br />

Standard deviation<br />

of NPV (£0000)<br />

3 2 29 8 31 30<br />

(a) You have been asked to explain to a colleague, who is unfamiliar<br />

with risk analysis, how these results are likely to have been<br />

derived. Draft some notes for your colleague and include in your<br />

notes an evaluation of the usefulness of the technique.<br />

(b) Compare the risk analysis results for the six designs and discuss<br />

how a decision could be made between them.<br />

(4) (This exercise is really designed to be carried out by a group of people,<br />

with each individual using a different set of random numbers. The<br />

individual results can then be combined by using the table at the end<br />

of the question.)<br />

An equipment hire company has to decide whether to buy a<br />

specialized piece of earth-digging machinery for $6000. The machine<br />

would be sold after two years. The main factors which it is thought<br />

will affect the return on the investment are:<br />

(i) The revenue generated by hiring the machine out for a day: it is<br />

certain that this will be $40;<br />

(ii) The number of days that the machine will be hired out in year 1<br />

and in year 2;<br />

(iii) The costs of having the machine available for hire (e.g. maintenance<br />

and repair costs) in year 1 and year 2;<br />

(iv) The price which will be obtained for the machine when it is sold<br />

at the end of year 2.

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