Question 3 ONLY
A local fashion retailer is seeking a new retail outlet in the neighbourhood estate. The
property agent recommended two possible sites. One of the sites (Site A) is near to the bus
interchange and is relatively small, while the other site (Site B) is further away but has a
larger floor area. If the retailer opens the store at Site A and demand is good, the store will generate an annual
profit of $200,000. If demand is low, the retailer will lose $40,000 per annum. If the retailer
opens at Site B and demand is high, the store will generate an annual profit of $320,000, but
the store will lose $120,000 per annum if demand is low. The retailer also has the option of
not opening the new retail outlet. The retailer believes that there is a 55 percent chance that
demand will be high.
The retailer is offered a market research study by the property agent. The probability of a
good demand given a favourable study is 0.85 while the probability of a good demand given
an unfavourable study is 0.1. There is a 70 percent chance that the study will be favourable.
(a) Determine, using the decision tree approach, whether the retailer should purchase the
market research study. Show the decision tree and compute the expected values for all
relevant nodes.
(26 marks)
(b) Determine the maximum amount the retailer would be willing to pay for this study.
(4 marks)
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