The analysis focuses on key concepts associated with the extensive CVP under uncertainty literature which has developed since the seminal contribution by Jaedicke and Robichek (1964). For the most part the previous literature has not incorporated economic functions relating production quantity to price and/or average cost. This model developed herein incorporates a linear demand function and a quadratic average cost function. Explicit solutions are found for five “special quantities”: (1) the lowest quantity which sets breakeven probability equal to the minimum acceptable level, (2) the quantity which maximizes breakeven probability, (3) the quantity which maximizes a Cobb-Douglas utility function defined on expected profits and breakeven probability, (4) the quantity which maximizes expected profits, and (5) the highest quantity which sets breakeven probability equal to the minimum acceptable level. Comparative statics effects are determined of the various model parameters on the five special quantities. A “CVP possibilities graph” is developed showing attainable combinations of expected profits and breakeven probability. Possible applications of the model are discussed.
Review of Quantitative Finance and Accounting – Springer Journals
Published: Oct 3, 2004
It’s your single place to instantly
discover and read the research
that matters to you.
Enjoy affordable access to
over 18 million articles from more than
15,000 peer-reviewed journals.
All for just $49/month
Query the DeepDyve database, plus search all of PubMed and Google Scholar seamlessly
Save any article or search result from DeepDyve, PubMed, and Google Scholar... all in one place.
All the latest content is available, no embargo periods.
“Whoa! It’s like Spotify but for academic articles.”@Phil_Robichaud