statement: Consider the production possibility frontier for a simple two-good (closed) economy. The production of both x and y depends only on labor input and that the production functions for these goods are: x = f(lx) = lx and y = f(ly) = ly. Total labor supply is limited by: lx + ly = 100. The typical individual's utility function is given by U(x,y) = xy. Find the equilibrium quantity of good x and good y. Note: I solved for the production possibilities frontier equation and got x + y = 100, resulting in RPT = 1 (not sure if this is correct). Unsure how to proceed from here to find equilibrium quantities of x and y