Suppose Roy utility function for food (F) and clothing (C) is U(FC) =FC a) Given that Roy derives utility U=8 graph his indifference curve corresponding with F= {1,2,4} b) What is the MRS of clothing for food for the basket (1,8) to (2,4) c) Suppose the utility derived from food and clothing increased by the factor 2 (monotonic transformation). Draw Roy's new Indifference curve. d) Show that the MRS remains constant as he moves from U1 to U2 e) State the relationship between the bundle (2,4) (1,8) and (2,8)