economicapplicationsofimplicitdifferentiation 1 substitution of inputs let q f l k be the production function in terms of labor and capital consider the isoquant q0 f l k ofequal production this ...
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...Economicapplicationsofimplicitdifferentiation substitution of inputs let q f l k be the production function in terms labor and capital consider isoquant ofequal this is level curve thinking as a along using chain rule we get thederivative measures rate for needed to keep output constant b cobb douglas cl if quantity produced xed considered then differentiating cblakb acla kb bclakb so thus marginal technical multiple average comparative static analysis balancing supply demand assumethesupplyanddemandfunctionsforasingle commodity are s p t d y wherey istheincome isthetaxonthecommodity istheprice wedonotassumeaparticularform functions but do assume that increases with price decreases tax while income equation determines system stays an equilibrium state taking economicapplications implicit differentiation partial derivatives respect dy sp dp st both increase general method following book treatment theorem there m equations n variables x c such at det bytheimplicitfunctiontheorem thereisa...