7. A group has 100 members. Each person can choose to participate or not participate in a common project. Ifnof them participate in the project, then each participant derives the benefitp(n) = 20 + 3n, and each of the (100n) shirkers derives the benefits(n) = 50 + 2n.

(a) Graph the decisions faced by each member of the group. Under what conditions ofnwould an individual incentives push an individual to contribute to the common project?

(b) Identify all Nash Equilibria for this problem.

(c) What value ofnmaximizes the total benefit for the group?