Let the consumption set be (x, y) × Rn-1 and suppose that preferences are strictly convex and quasilinear in the first good. Normalize p1 = 1. (a) Show that the Marshallian demand functions for goods 2, ..., n are independent of wealth. (b) Show that the Hicksian demand functions for goods 2, ..., n are independent of the target utility. (c) Argue that the indirect utility function can be written in the form V(p, w) = w + ϕ(p) for some function ϕ. What is the form of the expenditure function?