provide reason

Problem #9 Imagine that there are N agents. Furthermore, assume that agent i receives signal iU[1,1]. Signals are independently drawn and are only privately known. Assume that the payoff of an individual who is idle is equal to 0 and an individual who is active receives a payoff of i=1+2++i1+i+i+1++N. Imagine that 1=51, and i=N0.01+2i11 for i2. It is socially optimal to be active in this case? a) No b) Yes c) Only if N