David Lee is a soft drinks stallholder at Cotton Tree

Park. He must decide how many soft drink cartons to order for the coming season. Each bottle of soft

drink costs $$2\mathrm{.}50$ and is sold for $$4\mathrm{.}80.$ No inventory is carried from one season to the next. Bottles of soft

drinks unsold after August are sold at a discounted price of $$1\mathrm{.}00.$ Past data indicates that sales are highly

dependent on the weather conditions. Past weather conditions can be classified as cool or warm, and the

following distribution of regular price supply has been tabulated: