The owner of a boat building company is deciding whether or not to exhibit at a particular boat show, which is to be held early in the season. The total cost of exhibiting at the show will be £6,000. Sales will be dependent on the weather, there is a 0.3 chance that the weather will be dry and an 0.7 chance that the weather will be wet. If the weather is dry, the owner expects to sell six yachts at the show.
If the weather is wet, he expects to sell only two yachts at the show. The contribution per yacht sold is £10,000. If the owner does not exhibit at the show, he believes that two of the yachts he expects to sell at this show would be sold at another show later in the year. The expected net gain from exhibiting at the show is:
A. £0
B. £6,000
C. £12,000
D. £26,000
E. £32,000