Consider the following economy with production. There is a firm that can turn one unit of oranges into two apples or two units of oranges into three apples. There is a consumer who is endowed with two oranges. The consumer sees apples and oranges as perfect complements, i.e. her utility function for consuming apples a and oranges o is, u = min(o, a)

Question 1 is what is the set of pareto optimal allocations?

Question 2 is Consider the price system where po/pa = 2. What are the firm's profit-maximizing production plans and what are the firm's profits?

Question 3 is Is po/pa = 2 an equilibrium price ratio? with an explanation if possible.