A tourist bus company is equipping its fleet with a mix of three models - a 16 seat van costing $35,000, 30 seat minibus costing $60,000, and a 50 seat big bus at cost of $140,000. The total budget is $10 million. A total capacity of at least 2000 seats is required. At least half the vehicles must be the big buses. The availability of drivers and the garage space limit the total vehicles to a maximum of 110. If the profit dollars per seat per month values on the big bus, minibus, and the van are $4, $3, and $2, respectively, determine the number of vehicles of each type to be acquired for maximum profit.