8 Faber College is admitting students for the class of 2008. It has set four goals for this class, listed in order of priority:

Goal 1 Entering class should be at least 5,000 students.

Goal 2 Entering class should have an average SAT score of at least 640.

Goal 3 Entering class should consist of at least 25 percent out-of-state students.

Goal 4 At least 2,000 members of the entering class should not be nerds.

The applicants received by Faber are categorized in Table 62. Formulate a preemptive goal programming model that could determine how many applicants of each type should be admitted. Assume that all applicants who are admitted will decide to attend Faber.