plz help me (MoG is a course name )

1. There is a group of 71 students who want to solve an exercise for MoG. They usually all meet in a Zoom session to discuss their ideas. During the meeting, the students might procrastinate instead of contributing their ideas. If they come up With a solution during the meeting, it can be uploaded and everyone from the group gets full credits for this exercise (payoff 1). However, at least k 2 2 students have to contribute their ideas in order for a solution to be found at all. Every student has a dierent amount of motivation and thus has an individual cost to resist the urge to procrastinate, Which we denote by 19,- E [19_,19+] for i E [n], Where 0