A cost function approach to the estimation of minimum efficient scale, returns to scale, and suboptimal capacity: With an application to Canadian manufacturing

Abstract

This paper presents a new method for utilizing the statistical cost technique to measure minimum efficient scale (MES), returns to scale and suboptimal capacity. An application of the duality theory between cost and homothetic production functions leads to justification for ignoring poor quality or unavailable capital data and the pooling of several years observations to improve the efficiency of the estimates. The methodology is applied to 91 four-digit Canadian manufacturing industries to obtain estimates of MES, returns to scale, and suboptimal capacity. For a subsample of industries, we demonstrate that the cost function estimates of MES and returns to scale are more closely related to engineering estimates than are the ad hoc estimates usually found in the industrial organization literature.