Supply The prot maximization problem for a rm in sector 3' is: aiK-lAL\" iKi Le glare; {p i i r m } (b) Write down the rstorder conditions for this problem. Now note that capital market clearing requires: Ki : K: for 2' E {1, 2}. (c) What is the equilibrium relative allocation of labor across sectors, L, E L1 / L2, given goods prices? (d) What is equilibrium relative output, X, E X1 / X2, given goods prices