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The Production Function

The Production Function - The Production Function FYI The...

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Unformatted text preview: The Production Function FYI: The Production Function Economists often use a production function to describe the relationship between the quantity of inputs used in production and the quantity of output from production. FYI: The Production Function Y = A F(L, K, H, N) Y = quantity of output A = available production technology L = quantity of labor K = quantity of physical capital H = quantity of human capital N = quantity of natural resources F( ) is a function that shows how the inputs are combined. FYI: The Production Function A production function has constant returns to scale if, for any positive number x, xY = A F(xL, xK, xH, xN) That is, a doubling of all inputs causes the amount of output to double as well. FYI: The Production Function Production functions with constant returns to scale have an interesting implication. Setting x = 1/L, Y/ L = A F(1, K/ L, H/ L, N/ L) Where: Y/L = output per worker K/L = physical capital per worker H/L = human capital per worker N/L = natural resources per worker FYI: The Production Function The preceding equation says that productivity (Y/L) depends on physical capital per worker (K/L), human capital per worker (H/L), and natural resources per worker (N/L), as well as the state of technology, (A). ...
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