At IK, an industrial engineering student can get two different certificates (Data Science and Quality Management) depending on the courses he/she completed. The table below gives information on two alternative certificates, course requirements and prerequisite information. According to university regulations, at least 35 ECTS must be completed to achieve a certificate on a topic. Moreover, at most 3 compulsory courses and at least 2 elective courses can be selected for each certificate program. Formulate an integer programming model that minimizes the number of courses