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Answer four of the following, each question carries equal weight. In each case answer True, False or Uncertain and explain your answer. Limit each answer to one page. 1. (a) A consumer has a utility function that depends on only one good, X. Utility rises with x but at a decreasing rate. Based only on the information provided then U=ln(x) would be a valid representation of this consumers utility function. (b) Consider a person who begins day 0 with 1 euro. At the start of the next day her money is trebled and this continues for 2 weeks (14 days). After N days the amount of money she holds is given by the formula Money-3N and the amount of money after 14 days is over 4m. (c) Consider the system of equations 2x+2y 2 This system has a unique solution. (d) Suppose an individuals health (H) depends on the amount they exercise (E) and their weight (W) and 0, this means that the benefit of exerciseis (e) Consider an individual who is offered €1000 ten years from now. The interest rate is 30% and interest is given by the relat the same for all people irrespective of their weight. 82h is compounded continuously. The present value of this offer is approximately 50

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