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, this equality is no longer verified. The short-run marginal...

In this reply, I oppose and further debate some of the points raised in Mr. Tehrani's comment (2010). In addition, I show that, when dealing with short-run linear-programming models with not-adjusted-to-demand capacities, Aumann-Shapley prices can be considered as an attempt to recreate long-run...

Linear programming is widely used by multiproduct oil-refining firms which minimize a refinery’s variable cost under a set of constraints. In addition to operating costs, this variable cost can include the cost associated with the refinery’s CO2 emissions. We suggest a quite general approach...