Problem III. Noisy Neighbor (30 points) Paul and David are two neighbors in an isle where nobody else lives. Paul loves music and listens to loud music without using earphones each night. Paul gets utility from music, m, as well as his general consumption, cp. Specifically, his utility is up = In(cp) + ap In(m) where ap > 0. Nonetheless, David is a researcher annoyed by Paul's music at nights. David's utility is up = In(cD) - ap In(m) where 0