solve fast and answer should be matched with correct explanation. Handwritten answer also appreciated but fast.

John currently lives in Sydney where he earns $2700 a week as a high school principal. If he moves to Batemans Bay, he has to accept a position as a classroom teacher where he will earn $2100 a week. John only considers two goods, cost of living (c) and health (h). In Sydney, Pc = 54 and ph = 90. In Batemans Bay, Ph = 36. John's utility function is u(c, h) = h + czh2. a) What is John's optimal consumption of h in Sydney? 13.5 One possible correct answer is: 17.715 b) What would be John's optimal consumption of c in Batemans Bay? X One possible correct answer is: 24.243 c) What is the maximum cost of living Ph such that John will accept to move to Batemans Bay? X One possible correct answer is: 73.651