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Unformatted text preview: Short Run Cost Functions In the short run, one or more inputs are xed, so the rm chooses the variable inputs to minimize the cost of producing a given amount of output. With several variable inputs, the procedure is the same as long run cost minimization. For example, if we have f ( K;L;Land ) and Land is xed, we solve the cost minimization problem to nd the demand for capital and labor, conditional on input prices and x, K ( w;r;x ) and L ( w;r;x ). Then we evaluate the cost of K, L, and Land to get the total cost function. With one variable input, things are quite a bit easier, since there is no substitutability between inputs. Suppose that we have a xed amount of capital, K . Then the production function can be interpreted as a function of L only. For example, if we have f ( K;L ) = K L , then the short run production function is f ( L ; K ) = K L : To nd the conditional labor demand, we invert the short run production function by solving x = f ( L ; K )...
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- Spring '08