3-) (20 Points) Suppose there are two agents Ahmet and Berk in an economy, and both consume two goods X and Y. Also assume that price of X is 2 YTL and Y is the numeraire good, thus price of Y is 1 YTL. Ahmet and Berk has the following utility functions: U Ahmet (XA, YA)= 5In(XA)+In(YA) UBerk (XB, YB)= XB 0.5 YB 0.5 a. Now assume that both X and Y are private goods. Write down the optimality condition for both agents. Then, write down the optimal level of X as a function of Y for both agents