Anthony seeks to maximize the following utility function u(x, y) =x1/312/3 subject to the budget constraint Px* + Pyy = Iwhere pm, pg, 22', y, I > 0. a) Find Anthony's utilitymaximizing bundle (m*,y*) as a function of pm, py, and I. b) Show that y* is decreasing in pg and increasing in I (hint: use partial derivatives). c) What share of Anthony's income is spent on 23? What share is spent on y? In other words, calculate pxak and 31%. Are these shares a function of prices? Note: The above utility function is CobbDouglas, and all CobbDouglas functions have these share formulas for any values for the exponents. d) What is the impact of a change in 1),; on Anthony's utility