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March 18, 2026The Accounting Review0 citations

A Note on Cost-Volume-Profit Analysis and Price Elasticity.

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JNJohn F. Nash

Key Points

  • The article aims to predict changes in net income based on contribution margin ratio and price elasticity of demand.
  • Analyzed cost-volume-profit analysis with different cost structures
  • Computed break-even points for production methods
  • Examined sensitivity of methods to volume changes at fixed prices
  • Developed a decision rule for pricing strategy based on elasticity
  • Identified a predictable relationship between price changes and net income direction
  • Highlighted the importance of contribution margin ratio in decision-making
  • Provided a clear guideline for companies on whether to adjust prices

Abstract

Abstract A typical problem in cost-volume-profit analysis involves the comparison of alternative methods of production, where the methods have different ratios of fixed to variable costs. The computation of the break-even points and the examination of the relative sensitivity of each method to changes of volume at a fixed sales price are standard procedures. Consideration is frequently given also to possible changes in sales price, coupled with corresponding changes of volume, and to their resulting effect on segment profit or net income. The purpose of this article is to show that the direction of the change in net income can be predicted in terms of the contribution margin ratio and the market elasticity of demand for the product. The coupling of the elasticity concept with cost-volume-profit analysis also provides a decision rule which indicates whether a company, having a particular cost structure, should raise or lower its prices in order to increase net income. The author says that the decision rule can provide an unambiguous indication of the direction in which net income will change as the result of a price change, so long as that change is small.

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Cite This Study

John F. Nash (1975) studied this question.

synapsesocial.com/papers/69ba43d84e9516ffd37a5780https://doi.org/10.2308/tar-4506208
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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1A New Application of Calculus and Risk Analysis to Cost-Volume-Profit Changes.1969
  2. 2COST-VOLUME-PROFIT ANALYSIS UNDER CONDITIONS OF UNCERTAINTY.1964
  3. 3Linear Versus Nonlinear Cost-Volume-Profit Analysis: A Pedagogical Note.1989
  4. 4A Chance-Constrained Programming Approach to Cost-Volume-Profit Analysis.1984
  5. 5FIXED CHARGES AND PROFIT.1950