Problem:There are 8 girls and 4 cars(CarA, CarB, & etc..). These girls are going on a trip. The value listed in the matrix (in the attached excel file) represents the enjoyment that the girl in the column gets while talking with the girl in the row. The image attached shows a visual representation of the data.

Constraints:Only 2 girls per car

Goal:The goal is to maximize overall enjoyment

I am looking for equations to do this on a large scale, say 10k girls.

Thank you in advance,

Brandon