Question: Madeline is choosing what to purchase this month with her $200 savings. She likes books, which cost $5 a piece, and movies, which are $10 per ticket. Her preferences can be described by the (Cobb-Douglas) utility function, \(U\left( B,M \right)=12{{B}^{1/2}}M\), where B and M are the number of books she buys and movies she sees, respectively. What is the utility-maximizing bundle Madeline should buy?