Producer 1 is a beekeeper with a profit function of: in {y} 2 10(11):; 5y? I?) Show Transcribed Text 5:: number of beehives Producer 2 is the neighbor of Producer 1 and an apple grower with a profit function of: ugly) = 50000 -+- 200g on Show Transcribed Text Producer 2's profit is positively affected by the number of beehives because the bees pollinate the apple flowers. a. Calculate producer 1's profit maximizing level of output vii. b. Calculate the level of output maximizing the total profit of the two producers y\". Compare this socially.f optimal outcome with the privately optimal outcome from question 1. c. Describe a plausible bargaining solution between the producers that leads to a socially optimal outcome. Assume zero transaction costs. d. Calculate the optimal rate of subsidy given to producer 1 for each beehive that leads to socially optimal output