For the utility function U(x, Z) =XP +z, derive expressions for the optimal levels of good x and good z as functions of the price of good x, Px, the price of good z, Pz, and income, Y. For simplicity, assume that the price of good z is normalized to be one: Pz = 1. In your answer, use 1 for "pz" and the relationship o = 1 - P