In all questions below, please consider two goods: X and Y with prices P_Xand P_Y.

1. Please consider Rei. Her current consumption bundle, which is on the line of her budget constraint, is not the optimal one. By purchasing less Y and more X, she could increase her utility. Prices are P_X= 5 and P_Y= 2. Answer the value of MRS_XYsatisfying the conditions in the question. (There are many numbers satisfying the conditions. Just answer one of them.)
2. Given P_X= 3 and P_Y= 9, Erick's MU_Xis 6 at his optimal choice. Answer his MU_Y.
3. When the consumption of X fell and the consumption of Y rose, how would MRS_XYchange: Increase, Decrease, or No change?