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Next consider what happens when the minimum input

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Unformatted text preview: what happens when the minimum input constraint binds: Iso-cost line when minimum input constraint binds Iso-cost line when minimum input constraint did not bind Target Output 0 28 ECO 204 Chapter 12: a Firm’s Cost Minimization Problem (this version 2012-2013) University of Toronto, Department of Economics (STG). ECO 204, S. Ajaz Hussain. Do not distribute. The cost of production with a binding minimum input 1 constraint is higher than the cost with a non-binding minimum input 1 constraint. This is intuitive because for whatever reason the firm has to use a minimum amount of input 1 which here happens to be greater than the unconstrained amount of input 1 and the firm must bear the cost of using “excess amount” of input 1 and so (how do you know that ?): ⏟ At the optimum, the price of input 1 must be the sum of marginal cost of using it for production plus the marginal cost due to “excessive usage”. _________________________________________________________________________________________________ Having established some general results by using the envelope theorem we now discuss ways to simplify the long run CMP (ways to cut down the number of KT cases one has to check): ( ⏟ ∑( ) )( [ ) ⏟ ( ) ∑ As in consumer theory UMP, we look for ways to “drop” one, some, or hopefully all the “non-negativity” constrain...
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