14. (4 marks) Given: U(x,y) = x0.25 y0.75 MUx = 0.25 x-0.75 v0.75 MUY = 0.75 x0.25 y-0.25 Px = 2 Py = 12 a) (1 mark) Find the minimum cost to reach a utility of 1, 189. b) (1 mark) Now assume that PX increases to 4 and find the new minimum cost. c) (1 mark) What is the savings from substitution in part b)? d) (1 mark) From the part a) outcome, what lower Py would allow a utility of 2,000