A Generalized Stochastic Cost–Volume–Profit Model

Hongyan Liang; Alfred L. Guiffrida; Zilong Liu; Butje Eddy Patuwo; Murali Shanker

doi:10.3390/systems9040081

A Generalized Stochastic Cost–Volume–Profit Model

Systems ◽

10.3390/systems9040081 ◽

2021 ◽

Vol 9 (4) ◽

pp. 81

Author(s):

Hongyan Liang ◽

Alfred L. Guiffrida ◽

Zilong Liu ◽

Butje Eddy Patuwo ◽

Murali Shanker

Keyword(s):

Stochastic Modeling ◽

Current Literature ◽

Mellin Transform ◽

Sales Volume ◽

Decision Tool ◽

Profit Model ◽

Contribution Margin ◽

Lognormal Distributions ◽

Random Distributions ◽

Generalize Stochastic

Cost–volume–profit (CVP) analysis is a widely used decision tool across many business disciplines. The current literature on stochastic applications of the CVP model is limited in that the model is studied under the restrictive forms of the Gaussian and Lognormal distributions. In this paper we introduce the Mellin Transform as a methodology to generalize stochastic modeling of the CVP problem. We demonstrate the versatility of using the Mellin transform to model the CVP problem, and present a generalization of the CVP model when the contribution margin and sales volume are both defined by continuous random distributions.

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Optimal Advertising Budget Allocation across Markets with Different Goals and Various Constraints

Complexity ◽

10.1155/2020/6162056 ◽

2020 ◽

Vol 2020 ◽

pp. 1-12

Author(s):

Xingyuan Wang ◽

Fuan Li ◽

Fan Jia

Keyword(s):

Market Share ◽

Current Literature ◽

Budget Allocation ◽

Decision Models ◽

Sales Volume ◽

Allocation Decision ◽

Multiple Markets ◽

Advertising Budget ◽

Different Types ◽

Allocation Decisions

Advertising budget allocation across multiple markets has drawn considerable attention in recent years. To expand previous research and fill a gap in the current literature, this study proposes two decision models for optimal budget allocation decisions across multimarkets with different goals and various constraints. In addition to the market parameters proposed by the Vidale–Wolfe model, the present study incorporates market goals and advertising objectives into budget allocation decisions. Different types of markets are defined in terms of the goal set for market share or profit. Given the characteristics of different markets, two separate decision models are developed. Model I aims to maximize sales volume given a fixed advertising budget, while model II seeks to minimize the advertising budget given a total of targeted sales volume for all the markets. Solutions to the two models are discussed, and a numerical example is provided to demonstrate how to apply the models in making budget allocation decision.

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ANALISIS BIAYA VOLUME LABA SEBAGAI ALAT PERENCANAAN LABA (SPBU CV. SINAR HASMADANI)

Bongaya Journal for Research in Accounting (BJRA) ◽

10.37888/bjra.v2i2.195 ◽

2019 ◽

Vol 2 (2) ◽

pp. 59-64

Author(s):

Suci Ayu Aina Mustainah

Keyword(s):

Secondary Data ◽

The Other ◽

Primary Data ◽

Sales Volume ◽

Fixed Costs ◽

Financial Report ◽

Contribution Margin ◽

Other Hand ◽

History Of ◽

Report Data

This study aims to determine the costs incurred whether it has reached breakeven by SPBU CV. Sinar Hasmadani, how much sales volume is spent to break even andto find out the profit generated has become a reference in planning future profits at gasstations CV. Sinar Hasmadani Karsa. This study uses primary data and secondary data,where primary data is obtained from companies related to the history of the company.Secondary data in this study in the form of financial report data and data costs that existwithin the company. In this study the method used to analyze the data is by usingquantitative descriptive.The results of the analysis show that the costs incurred by SPBUCV. Sinar Hasmadani Karsa can be used as a basis for calculating BEP. Sales volumealso increases every year, on the other hand the calculation of contribution margin andcontribution margin ratio obtained in 2016-2018 shows that the company has produced acontribution margin that can cover fixed costs and generate maximum profits, and thelast profit achieved by the company can be used as the basis for future profit planning

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The Mellin Transform of Logarithmic and Rational Quotient Function in terms of the Lerch Function

Journal of Mathematics ◽

10.1155/2021/8814756 ◽

2021 ◽

Vol 2021 ◽

pp. 1-13

Author(s):

Robert Reynolds ◽

Allan Stauffer

Keyword(s):

Current Literature ◽

Mellin Transform ◽

Integral Transforms ◽

Complex Numbers ◽

Definite Integrals ◽

Famous Book ◽

General Complex

Upon reading the famous book on integral transforms volume II by Erdeyli et al., we encounter a formula which we use to derive a Mellin transform given by ∫ 0 ∞ x m − 1 log k a x / β 2 + x 2 γ + x d x , where the parameters a , k , β , and γ are general complex numbers. This Mellin transform will be derived in terms of the Lerch function and is not listed in current literature to the best of our knowledge. We will use this transform to create a table of definite integrals which can be used to extend similar tables in current books featuring such formulae.

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Word Prompt Programs

American Journal of Speech-Language Pathology ◽

10.1044/1058-0360.0603.57 ◽

1997 ◽

Vol 6 (3) ◽

pp. 57-65 ◽

Cited By ~ 5

Author(s):

Lisa A. Wood ◽

Joan L. Rankin ◽

David R. Beukelman

Keyword(s):

Learning Disabilities ◽

Current Literature ◽

Word Processing ◽

Computer Software ◽

Written Language ◽

Written Communication ◽

Speech Language Pathologists ◽

Basic Word ◽

The Matrix ◽

Language Needs

Word prompt programs are computer software programs or program features that are used in addition to basic word processing. These programs provide word lists from which a user selects a desired word and inserts it into a line of text. This software is used to support individuals with severe speech, physical, and learning disabilities. This tutorial describes the features of a variety of word prompt programs and reviews the current literature on the use of these programs by people with oral and written language needs. In addition, a matrix that identifies the features contained in eight sample word prompt programs is provided. The descriptions of features and the matrix are designed to assist speech-language pathologists and teachers in evaluating and selecting word prompt programs to support their clients' oral and written communication.

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