Eastern Aviation Company organizes summer charter flights fromSydney

to Auckland for students. The company uses three types of aircraft whose

operating cost and capacities are given below:

Aircraft Type Capacity (Passenger) Cost per Flight ($) Maximum Number of Flights Air Crew Required A1 120 180 280 25,000 35,0

The company can spare only 200 crews for the entire mission. A total

of 4,000 students signed up for the summer trip, each paying $450.

Considering all students must be flown, find how many flights of each

type should be used in order to maximize profit. Formulate a mathematical

programming model.