Economics 2152A/B Lecture Notes - Production Function, Marginal Product

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Real gdp = q = y = a x f (k,n) Note: y, k and n can be measured directly, but a can be calculated indirectly. The shape of the production function, y = a x k0. 3 x n0. 7. To show the production function graphically, we hold one of the 2 factors of production constant and graph the relationship between output and the other factor. If k = 1,798, y = 115. 75 (1,798)0. 3 then, y = 1,098 billions. Features of the production function: starts from the origin, slopes upward (positive), change in output due to a one unit change in capital. Marginal product of capital, mpk: slope of production factor which is mpk falls as k goes up (why?) This is called the principle of diminishing marginal product, this is 2nd derivative and should be negative. Average product of labour given y = 159. 20 n0. 7. Production function of an economy does not usually remain fixed over time.

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