Katerina has the following utility function for coffee and bagels U (C, B) = C1/2 B1/2, where C stands for cups of coffee and B stands for the number of bagels.
a. What is the name for utility functions of this form?
b. Draw Katerina's indifference curve for U=1.
c. Katerina's friend Ramses also likes coffee and bagels. However, relative to coffee, he likes bagels more than Katerina; that is, Ramses's MRS for bagels with coffee is higher than Katerina's at any consumption bundle. Give an example of a utility function that Ramses might have (There are many right answers, but you only need to write down one.) C: U = C1/2B
d. Draw Ramses's indifference curve for U=1 on the same graph as in part (b).