It is exactly 24 hours before Daryl's exams, and she is going to spend the entire time studying. She has an Economics exam followed directly by a Biology exam, with no time to study in between. Daryl's utility is represented by U (e, b) = e 2 b where e is the score on the Economics exam and b is the score on the Biology exam. Daryl wants to be an economist, so she places more weight on her Economics exam score - it has a higher exponent in her utility function, 2 instead of 1. Although Daryl cares more about Economics, she is better at Biology. Specifically, for each hour spent studying Biology, she will increase her score by 5 points, but her Economics score will only increase by 3 points for every hour spent studying Economics. Before studying, she starts at a score of 0 for each test. (a) We often write budget equations in the form p X x p Y y M, with p X , p Y indicating prices of goods X and Y ; x, y indicating quantities of those goods; and M indicating the total budget to be spent. Let's write