This is part 1 question.

14 1. Rachel spends her income, Y, on Rock Shows (R) and Sunglasses (S) with prices PR and Ps. Rachel's preferences are given by the Cobb-Douglas utility function U(R, S) = RO.8 50.2. For a given utility level, Uo, Rachel's compensated demand for Rock Shows is. 4PR 0.2 2 0.2 O R = 0.8 Uo OR = 0.8 4PS UO OR = 0.8 PS Uo PS PR 4PR Show your work