(I'm giving a lot of points on this I really need it ) A tourism company can sell up to 1200 travel packages for the Sugar Bowl college football postseason game in New Orleans. The package includes airfare, weekend accommodations, and the choice of two types of flights: a nonstop flight or a two-stop flight. The nonstop flight can carry up to 150 passengers, and the two-stop flight can carry up to 100 passengers. The agency can locate no more than 10 planes for the travel packages. Each package with a nonstop flight sells for $1,200, and each package with a two-stop flight sells for $900. Assume that each plane will carry the maximum number of passengers.

1. Define the variables for this situation
2. Write a system of linear equations to represent the constraints
3. Graph the system of linear equations below, and shade the feasible region that shows the area of the graph representing valid combinations of nonstop and two-stop flight packages
4. Write an objective function that maximizes the revenue for the tourism agency
5. Find the maximum revenue for the given constraints and give the combination of flights that achieve this maximum​