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Short-run and long-run marginal costs of joint products in linear programming

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Author Info
Axel PIERRU (Center for economics and management, IFP School)
Abstract

In standard microeconomic theory, short-run and long-run marginal costs are equal for production equipment with adjusted capacity. When the production of joint products from interdependent equipment is modeled with a linear program, tins equality is no longer verified. The short-run marginal cost then takes on a left-hand value and a right-hand value which generally differ from the long-run marginal cost. In this article, we demonstrate and interpret the relationship existing between long-run marginal cost and short-run marginal costs for a given finished product. That relationship is simply expressed as a function of marginal capacity adjustments (determined in the long run) and marginal values of capacities (determined in the short run).

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Publisher Info
Paper provided by Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES) in its series Discussion Papers (REL - Recherches Economiques de Louvain) with number 2007022.

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Length: 20
Date of creation: 01 Jun 2007
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Handle: RePEc:ctl:louvre:2007022

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Related research
Keywords: marginal cost linear programming;

Find related papers by JEL classification:
D20 - Microeconomics - - Production and Organizations - - - General
C61 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Optimization Techniques; Programming Models; Dynamic Analysis

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  1. Paul Milgrom & Ilya Segal, 2002. "Envelope Theorems for Arbitrary Choice Sets," Econometrica, Econometric Society, vol. 70(2), pages 583-601, March. [Downloadable!] (restricted)
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