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Which of the following assumptions is false in a cost-volume-profit analysis?

1) The selling price per unit remains constant
2) The variable cost per unit remains constant
3) The fixed cost remains constant
4) The sales mix remains constant

1 Answer

6 votes

Final Answer:

The assumption that the sales mix remains constant is false in a cost-volume-profit analysis.

Explanation:

In cost-volume-profit analysis, the sales mix refers to the proportion of different products or services sold by a company. This assumption assumes that the ratio of various products/services sold remains unchanged. However, in reality, businesses often experience fluctuations in their sales mix due to changes in consumer preferences, market trends, or promotional strategies.

When the sales mix varies, it impacts the overall contribution margin ratio, affecting the break-even point and profit levels. Therefore, assuming a constant sales mix can lead to inaccuracies in forecasting and decision-making within cost-volume-profit analysis, as it doesn't account for the dynamic nature of consumer demands and market conditions. Adjusting the analysis to accommodate changing sales mixes allows for more accurate predictions and strategic planning.

Cost-volume-profit analysis forms a crucial part of managerial decision-making by evaluating how costs, sales volume, prices, and profits interrelate. A critical aspect of this analysis is recognizing and accounting for changes in various factors that affect the overall cost structure and revenue generation.

Considering the dynamic nature of businesses, assumptions must be realistic to derive meaningful insights and make informed decisions based on accurate projections. The false assumption of a constant sales mix highlights the importance of adapting analyses to reflect the ever-evolving business environment.

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