Please provide a step-by-step solution so that I can teach myself.

#1.67 MICRO (SEPT. 19) 1.67 A cost of living index is introduced in the previous exercise. Suppose the consumer's direct utility function is u(x1, *2) = vx1 + x2. (a) Let base prices be po = (1, 2), base income be yo = 10, and suppose p' = (2, 1). Compute the index I. (b) Let base and final period prices be as in part (a), but now let base utility be u". Show that the value of the index / will vary with the base utility. (c) It can be shown that when consumer preferences are homothetic, I will be independent of the base utility for any prices po and pl. Can you show it? ed hu a lalain w*11/ In(mil