In the undergraduate honors program at PNU, students bid for internships in the final year of their program. Each student has $100$ total points to bid. They can allocate these points across the different options to indicate their preferences $($for example, a student who really wanted to be assigned to the Innova internship might put $80$ out of their $100$ points in that column$).$ Students complete exaclty two internships. Each internship is limited to $5$ students. The seven internships available are shown in Table $1$ along with the point "bids" submitted by each of the $15$ students in the program.