A Stochastic demand CVP model with return on investment criterion.

The stochastic demand cost-volume-profit (CVP) model has recently received considerable attention. For this model, management must determine optimal production prior to knowing the actual demand, a stochastic variable with known distribution. Management must choose the production quantity to balance prospects for sales revenue against risks of losses from shortages and from unsold items. This paper develops an expected return on investment criterion model for determining the optimal production quantity. Formulas and solution methods applicable to general demand distributions are obtained. A special solution technique for normally distributed demand is presented. The resulting choice criterion offers the advantages inherent in return rate methods. In addition, compared to a profit maximization approach, the expected rate of return on investment criterion is more widely applicable. [ABSTRACT FROM AUTHOR]