the next question very concisely: 3. Short Answer II (3pts) An apartment building needs a new elevator, which costs $10,000. 10 residents need to decide independently whether or not to chip in. If no resident is willing to bear the cost, the elevator will not be installed and each resident will receive zero payoff. However, if n > 0 residents are willing to chip in, the elevator will be installed. If the elevator is installed, each resident will receive a benefit equal to $2,000 regardless of whether they have chosen to chip in or not. However, a resident who has chosen to chip in will also bear their share of the installation cost $10,000/n. For example, if 5 residents choose to chip in, they will receive a net payoff equal to $2,000-($10,000/5) or $0, while other residents will each receive payoff $2,000. (1) Is every resident chipping in a Nash equilibrium of the game? Explain. (2) Is no resident chipping in a Nash equilibrium of the game? Explain. (3) Are there any other Nash equilibria? If there are, specify such a Nash equilibrium and verify that it is indeed an equilibrium. If no other Nash equilibria exits, explain why