The Optimum Size of a Producer Service Firm Facing Uncertain Demand

In this paper we present a theory of optimum size and number of clients for a producer service firm performing maintenance and repair services for clients in the manufacturing sector. The theory holds that scale economies vary directly with the level of contact requirements for service delivery. This is illustrated by a model of a monopoly repair specialist in which frequency of breakdown (and therefore client demand for service) is stochastic. Comparative statics are used to draw testable hypotheses from the model which, if extended to a multisite case, may serve as a portion of a general model of producer service location.