A single-period, uncertain demand inventory model is analyzed under the assumption that the quantity ordered (produced) is a random variable. We ¯rst conduct a comprehensive analysis of the well known single period production/inventory model with random yield. Then, we extend some results existing in literature: our main contribution is to show that earlier results are only valid for a certain range of system parameters. Under the hypothesis that demand and the error in the quantity received from supplier are uniformly distributed, closed-form analytical solutions are obtained for all values of parameters. An analysis under normally distributed demand and error is also provided. The paper ends with an analysis of the bene¯t achieved by eliminating errors.