Philip Musa can build either a large electronics section or a small one in his Bathurst drugstore. He can also gather additional information or simply do nothing. If he gathers additional information, the results could suggest either a favourable or an unfavourable market, but it would cost him

$$3$ comma $5003,500$

to gather the information. Musa believes that there is a $50-50$ chance that the information will be favourable. If the market is favourable, Musa will earn

$$16$ comma $00016,000$

with a large section or

$$4$ comma $0004,000$

with a small one. With an unfavourable electronics market, however, Musa could lose

$$22$ comma $00022,000$

with a large section or

$$12$ comma $00012,000$

with a small section. Without gathering additional information, Musa estimates that the probability of a favourable market is

$0\mathrm{.}80\mathrm{.}8.$

A favourable report from the study would increase the probability of a favourable market to

$0\mathrm{.}90\mathrm{.}9.$

Furthermore, an unfavourable report from the additional information would decrease the probability of a favourable market to

$0\mathrm{.}20\mathrm{.}2.$

Of course, Musa could ignore these numbers and do nothing. What is your advice to Musa?