# Algebra 2 help Solving Linear Programming Problems?

I need help figuring out the equations for this word problem.
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...
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I need help figuring out the equations for this word problem.

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.

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.

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