Floataway Tours has $420,000 that can be used to purchase new rental boats for hire during the summer. The boats can be purchased from two different manufacturers, Sleekboat and Racer. Floataway Tours would like to purchase at least 50 boats and would like to purchase the same number from Sleekboat as from Racer to maintain goodwill. At the same time, Floataway Tours wishes to have a total seating capacity of at least 200. Maximum Expected

Boat Builder Cost Seating Daily Profit
Speedhawk Sleekboat $6000 3 $70
Silverbird Sleekboat $7000 5 $80
Catman Racer $5000 2 $50
Classy Racer $9000 6 $110

Required:
Formulate this problem as a linear program.