Phil's Tennis Emporium Club has three indoor tennis courts. Phil is perplexed about how much time to set aside for each of the six revenue producing activities listed in the table below. The Club in open from noon to 10 PM Tuesday through Sunday (i.e, each of the three courts is available for 10 hours per day, six days per week). To satisfy club members, Phil has decided that at least one-half of the available court time 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. 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 40 hours per week. Phil believes that Youth Group Lessons is an effective method to build membership in the club. Therefore Phil has decided to set aside at least 20 hours per week to schedule Youth Group Lessons. Determine how many sessions of each of the six activities should be scheduled per week in order to maximize Phil's weekly revenue. *The specific dates and times of the activities do not need to be addressed in this formulation. Activity Court hours per session Revenue per session Individual member play 1 hour $10 League Play 5 hours $50 Individual Lesson (head pro) 1 hour $30 Individual Lesson (assistant pro) 1 hour $25 Group Lesson - Adults 2 hours $120 Group Lesson - Youth 2 hours $100 1. Formulate the LP Model here: 2. How many of each type of activity should be scheduled per week? ____________ 3. Some individual lessons by the head pro would be scheduled if the revenue was equal to what value? ___________ 4. What would be the weekly revenue if the Head Pro was willing to work 35 hours per week? _________ 5. What would be the maximum revenue if the Assistant Pro was only willing to work 35 hours per week? _____________