Roommates Maria and Joan each have a business that they run from home. Maria is a math tutor and Joan teaches the violin. Since Joan's lessons distract Maria's clients, Maria's profit is profitm = 20h - h2 - vh, where h is the number of hours she tutors in a day and v is the number of hours Joan teaches violin. Joan's profit is profit, = 16v - v2. Question: Assuming Maria and Joan act independently, what are the private optimum amounts of h and V? O h = 10; v = 5 Oh = 6; V = 8 Oh = 9; v=6 Oh = 8; v=4 Oh = 7; v=9