Jackie likes playing sportslong dash—all typeslong dash—and also likes to earn A's in school. Jackie figures that by participating in sports, she learns about competition, hard work, and time management, skills that lead to better grades. Jackie also knows that if she spends more time participating in sports, she has less time to study. If Jackie participates in no sports, her grade point average is 3.253.25. Considering only the psychological and sociological benefits of sports, Jackie's grade point average improves by 0.600.60 points for the first sport and by 0.150.15 for each additional sport. Jackie has six hours each day to participate in sports and to study. Each sport in which Jackie participates takes one-and-one-half hours per day. Jackie figures that for each additional hour-and-one-half that she studies, her grade point average improves by 0.300.30 points. What is the maximum grade point average that Jackie can earn? To earn that GPA, in how many sports does Jackie participate? The maximum GPA that Jackie can earn is nothing, for which Jackie must play nothing sport(s). (Enter numeric responses using real numbers rounded to two decimal places)