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 same number of cycles from both manufacturers to maintain goodwill. Cycle Builder Cost Seating Expected Daily
Capacity Profit
The Roadie Mighty Cycles $500 1 $100
The Doubler Mighty Cycles $900 2 $140
The Rickshaw Mighty Cycles $1800 4 $200
The Speedy S&K Cycles $800 1 $115
The Cozy S&K Cycles $1000 2 $150
The Caravan S&K Cycles $1500 4 $180
How many cycles and which type of cycles should PFC purchase? Formulate this problem as a linear program and solve it.