Problem $1$

Jacqueline Mulvaney makes bespoke corsages. She is about to attend an important show in London. She thinks that if the market is favorable, she can sell deluxe corsages $40$ at $$75$ each. However, if the market is not good, she will only sell $35$ at $$65$ each. Jacqueline also makes a simple$-$range of corsages. If the market is positive, she can sell $80$ simple corsages at $$45$ each, whereas if the market is not good, she will only sell $60$ at $$38$ each. To produce either set of corsages costs about the same and she only has time to make one range. If Jacqueline feels that there is a $0\mathrm{.}5$ chance of the show going well, which range of corsages should she make based on the EMV?