How many members should be admitted to maximize profits under Plan B (consider the costs associated with Plan B as well as the TC equation given at the beginning of this problem)? The board core the corner PA BAC Dyneering 100 PSACherut 140.000 otherbo P=1000-20 MR=1000-4Q TC=2000 MC=200 TP=TR-TC The board is now considering a new benefit to members. They are considering partnering with a neighboring club that has additional outdoor recreational facilities. The neighboring club proposes two payments plans to allow BAC members access to their facilities Plan A: BAC pays the neighboring club $100 per member Plan B: BAC pays the neighboring club a flat $40,000 regardless of the number of members Assume everything else is as stated previously, Use this additional information to answer the following, How many members should be admitted to maximize profits under Plan B (consider the costs associated with Plan B as well as the TC equation given at the beginning of this problem)? The board core the corner PA BAC Dyneering 100 PSACherut 140.000 otherbo P=1000-20 MR=1000-4Q TC=2000 MC=200 TP=TR-TC The board is now considering a new benefit to members. They are considering partnering with a neighboring club that has additional outdoor recreational facilities. The neighboring club proposes two payments plans to allow BAC members access to their facilities Plan A: BAC pays the neighboring club $100 per member Plan B: BAC pays the neighboring club a flat $40,000 regardless of the number of members Assume everything else is as stated previously, Use this additional information to answer the following