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 $120,000 that can be used to purchase new rental cycles that can have 1, 2or 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 30 one-seaters, 30 two-seaters and 30 four-seaters They would like to purchase the same number of cycles from both manufacturers to maintain goodwill. Cycle Builder Cost Seating Capacity 1 Expected Daily Profit $100 The Roadie $500 The Doubler 5900 2 $140 Mighty Cycles Mighty Cycles Mighty Cycles $1800 4 $200 The Rickshaw The Speedy S&K $800 1 $115 $150 2 The COTY $1000 Cycles S&K Cycles S&K Cycles $180 4 $1500 The Caravan How many cycles and which type of cycles should PFC purchase? Formulate this problemas linear program and solve it. 1. Define the decision variables needed to model this problem 2. The objective is to maximize nightly revenue. Give the objection function 3 Write the constraints EL a 517 1200M How many cycles and which type of cycles should PFC purchase? Formulate this problem as a linear program and solve it. 1. Define the decision variables needed to model this problem 2. The objective is to maximize nightly revenue. Give the objection function. 3. Write the constraints. 4. What is the final answer? Explain in detail