Nonlinear multiproduct CVP analysis with 0–1 mixed integer programming

Abstract

This paper presents 0–1 Mixed Integer Programming model for the nonlinear multiproduct Cost-Volume-Profit analysis, which relaxes the assumptions of linear revenue-cost functions and constant fixed cost. In this model, nonlinear revenue and cost functions are approximated by piecewise linear functions, and the joint fixed cost function is represented by a step-increment function. With these features, the required capacity level and the optimal product mix could be determined simultaneously. A hypothetical example, illustrating the model, is presented together with the profit-maximization solution, the breakeven solution, and the target-profit solutions.