(50 pts) use Goal programming to formulate problem A, and use Maxi-Min programming to formulate problem B. 3. (25 pts) Istanbul Aydin University admission Office is processing freshman applications for the upcoming academic year. The applications fall into three categories: inside Istanbul, outside Istanbul, and interational. The Measuring. Selection, and Placement Center (SYM) score is an important factor in accepting new students. The statistic gathered by the university indicates that the average SYM score for inside Istanbul, outside Istanbul, and international are 80, 74, and 70 respectively. The admission committee has established the following desirable goals for the new freshman class. Keep in mind that, all goals have the same importance. i. The incoming class is at most 2000 freshman. The average SYM score for all incoming students is at least 73. ni. Interational students constitute at least 10% and at most 40% of the incoming class. IV. Outside stanbul students constitute at least 30% of the incoming class