Suppose that in a small open economy, the shoe demand and supply equations are:

P = 168-4^D

P = 24+2^S

On the other hand, suppose that in a big open economy, the shoe demand and supply equations are:

P = 360- 6^D

P = 40 + 2^S

Calculate the amount of shoe production and consumption in small and large countries where the free trade price (P_FT) is equal to the arithmetic average of the domestic prices of these two countries in the case of autarky.