3) Two inventors A and B each have discovered a new device. Inventor A can market his device and gain profits FA, while B can market her device and earn profit FB. They run into each other at a trade fair and discover that if A can use B's device, A could increase his profit to 74 > FA and if B could use A's device, B could increase her profit to x8 > FB. They would like to come to an agreement whereby A would pay B a price P and each inventor could use the other's device (Note that P can be negative in which case money would go from B to A.) They engage in Nash Bargaining where A has the bargaining power parameter, / in [0,1]. i) What are the gross gains from trade? What is each inventor's BATNA? What are the net gains from trade? ii) What is A's incremental gain from Nash bargaining? iii) What would be the price, P, that the two inventors would agree on out of Nash bargaining? iv) Under what circumstances would P be negative? (B would pay A for the trade.) v) How would P change if a went up to a + 4? How would it change if as went up to *8 + 4? How would A's share of the net gains from trade change in either case? vi) How would P change if FA went up to Fx + 4