A car company has decided to spend S 150M on a TS a museum for exhibiting its classic cars

A car company has decided to spend S 150M on a TS a museum for exhibiting its classic cars. Land can be purchased for $500,000. The museum building will require 30,000 square feet of general space while each car displayed will require an additional 1000 square feet. The design and planning process will cost $100,000, which should be paid immediately. The construction of the building will cost $600 per square foot, and the building will be completed within the next 2 years, while the cost of construction will be distributed evenly between the 2 years of construction. All cars will be purchased during the second year of construction at an average cost of $120,000 per car. The annual operation of the museum will cost $200,000 plus $30,000 per car. If the funds are invested at 9% per year and the museum is to exist forever, how many cars can the trustees purchase?