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Philadelphia fun-cycles (PFC) is buying new cycles for rentals during the next summer season for tourists visiting Fairmount park. It has a budget of has $90,000 that can be used to purchase new rental cycles that can have 1, 2, or 4 seats. The cycles can be purchased from two different manufacturers. PFC would like to purchase at least 60 cycles in total. These cycles can be any mix of 1, 2, or 4 seaters. PFC wants a total seating capacity of at least 150. PFC also wants to buy at least 15 one-seaters, 15 two-seaters and 15 four-seaters They would like to purchase the samenumber of cycles from both manufacturers to maintain goodwill. How many cycles and which type of cycles should PFC purchase? Formulate this problem as a linear program and solve it. Cycle Builder Cost Seating Expected Daily Capacity Profit The Roadie Mighty $500 1 $100 Cycles The Doubler Mighty $900 2 $140 Cycles The Rickshaw Mighty $1800 4 $200 Cycles The Speedy S&K $800 1 $115 Cycles The Cozy S&K $1000 2 $150 Cycles The Caravan S&K $1500 4 $180 Cycles

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