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Part A (Worth 60%) 1. 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 (a) A firm has a production function in which the marginal product of capital does not depend on the amount of labour used. Based only on the information provided then Q-K+L, where Q is output, K is capital and L is labour would be a valid representation of this firms production function. Consider a person who begins day 0 with a 2mm sheet of paper. On day one she folds the piece of paper in half. Each day that follows she continues to fold the new piece in half- one fold each day. The thickness of the paper after T days is given by the formula (T2) (b) c) Consider the system of equations This system has a unique solution and it is given by x-6, y-1, w-0. (d) A consumer has a utility function given by U-C+W, where U is utility, C is chocolate and W is wine. The consumer has є20 and the price of a unit chocolate is €1 and the price of a unit of wine is €2. The optimal consumption of chocolate and wine is C-10 and W-5. An individual currently has є 100 in her savings account. The interest rate is 2% per year compounded continuously. After 5 years the individual will have more than 102 in her account. (e)

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Page No A a) To chick whethin M we de -1 ol k blo, the iun pnuls Pouser gtatimengs ils undr the budtss madiui duel Thuee

d) true, using the formula of compound interest it is found that total amount after 5 years individual will have more than 102 Euros.

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