Question
Phil's Tennis Emporium Club has six indoor tennis courts.Phil is perplexed about how much time to set aside during the club's prime time hours this
Phil's Tennis Emporium Clubhas six indoor tennis courts.Phil is perplexed about how much time to set aside during the club's prime time hours this winter for each of the six revenue producing activities listed in the table below.Prime time is from 5:00 PM to 10 PM Sunday through Friday (i.e, each of the six courts is available for five hours per night, six nights per week).To satisfy club members, Phil has decided that at least one-half of the available prime time hours each week must be set aside for individual members play.A session for individual members takes up one hour of court time and produces $10 revenue as shown in the table below.League play has been an effective means of attracting new members to the club.Therefore, Phil has scheduled four leagues for the winter term. Each league session requires four hours of court time and generates $50 per session.Individual lessons by the head tennis pro, M. Hall, requires one hour and generates $30 revenue, while individual lessons by the assistant pro, D. Martin, requires one hour of court time and generates $25 revenue.M. Hall and D. Martin work together during each group sessions (i.e., both are present during an adult group lesson and both are present during a youth group lesson).Head pro M. Hall is only willing to work 30 hours per week, while assistant pro D. Martin is willing to work up to 60 hours per week.Phil has decided that youth group lessons are important for sustaining high membership in the future.Therefore, Phil has decided that there must be at least five youth group sessions scheduled each week.Determine how many sessions of each of the six activities should be scheduled per week in order to maximize Phil's weekly revenue.
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