STOCHASTIC COST‐VOLUME‐PROFIT ANALYSIS WITH A LINEAR DEMAND FUNCTION
将线性需求函数引入随机成本-数量-利润分析，以最大化期望利润为目标，并扩展到考虑库存的多期模型，为管理者在不确定环境下决策提供新方法。
In this paper we incorporate a linear demand function to model the price‐volume causal relationship into stochastic cost‐volume‐profit (CVP) analysis. We assume that the objective function is to maximize expected profit; other objective functions are also discussed and compared. A linear stochastic model follows from which probabilistic statements can be easily obtained if the random variables are assumed to be multivariate normal. The basic framework is shown to be a special case of project value maximization where project value is the cash flow of the project discounted for time and risk according to the capital asset pricing model. Moreover, an intertemporal extension that considers inventory is developed. In summary, a new approach to stochastic CVP analysis that incorporates the management decision process in an uncertain environment is developed.