A package express carrier is considering expanding the fleet ofaircraft used to transport packages. Of primary importance is thatthere is a total of $350 million allocated for purchases. Two typesof aircraft may be purchased - the C1A and the C1B. The C1A costs$25 million, while the C1B costs $18 million. The C1A can carry60,000 pounds of packages, while the C1B can only carry 40,000pounds of packages. Of secondary importance is that the companyneeds at least 10 new aircraft. It takes 150 hours per month tomaintain the C1A, and 100 hours to maintain the C1B. The leastlevel of importance is that there are a total of 1,200 hours ofmaintenance time available per month.

Required:

Part 1: Formulate this as an integer programming problem tomaximize the number of pounds that may be carried.

Part 2: Rework the problem differently than in Part 1 to supposethe company decides that what is most important to them is thatthey keep the ratio of C1Bs to C1As in their fleet as close to 1.2as possible to allow for flexibility in serving their routes.Formulate the goal programming representation of this problem, withthe other three goals having priorities P2, P3,and P4, respectively.