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Growth Rate and Level Decomposition Suppose output Y is given by the production function, Y = AK (N)1-a where A is the level of

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Growth Rate and Level Decomposition Suppose output Y is given by the production function, Y = AK (N)1-a where A is the level of TFP, K is physical capital and N is the level of employment and a = 0.33. Let the total population be denoted by P. We have the following data for Vietnam, Table 1: Output, Capital, Population and Employment in Vietnam Year Y K P N 1988 83,000 74,000 65 28 2003 243,000 588,000 82 41 A. (2 points) Define the dependency ratio, d, as the ratio of those that are not employed (PN) to those that are employed (N) so that d = (P-N)/N. Using the data above, compute the dependency ratio and the level of TFP, A in 1988 and 2003. B. (2 points) Write the growth rate of output per capita, Y/P in terms of the growth rate of output per worker Y/N. [Hint: Define the population to employment ratio as d =1+ d.]

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