Trojan BioTech is considering the potential entry points. Two variable options have been proposed: a price of $$120,$ with an estimated demand of $45$ per day; or a price of $$180,$ with an estimated demand of $40$ per day. The cost of the preparation kits is $$30$ per kit. For all the following problems, we assume that Trojan BioTech will commit to a single price and satisfy the corresponding demand.