Algebra 2 help Solving Linear Programming Problems?
Your mathematics team has arranged to earn some extra money by cleaning up Sherwood Park. The city Recreation Department agrees to pay each old member $10 and each new member $8 for their services (the club did the same thing last year, so the old members are experienced). The club has at most 9 old members and at most 8 new members. The Department will hire at least 6 students, but no more than 15. There must be at least 3 new members and at least 4 old members. The number of new members must be at least 1/2 the number of old members, but less than 3 times the number of old members. What numbers of old and new members would earn the maximum amount of money? What would this amount be?
Let x be the number of old members and y be the number of new members.