A bakery frosted an 8-inch-by-8-inch square cake on one side with vanilla frosting and o...

A bakery frosted an 8-inch-by-8-inch square cake on one side with vanilla frosting and on the other side with chocolate frosting, as shown next. Brian prefers vanilla frosting over chocolate in a 5-to-1 ratio. Jody likes chocolate slightly more than vanilla, for a vanilla-to chocolate ratio of 4 to 5. Kurt will eat only chocolate frosting, and Francis will eat only vanilla frosting. Consider the following cake and the cake portions shown.

Suppose Brian bought the entire cake for $9.00.

a. What monetary value does he place on the vanilla half of the entire cake?

b. What monetary value does he place on the chocolate half of the entire cake?

c. What monetary value does Brian place on cake portions I, II, III, and IV?