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For any given linear CVP analysis, we can ask a whole set of "what-if" questions about how increases and decreases in the sales price, unit variable costs, sales mix and fixed costs would affect the outcome. However, when we do that we are simply changing from one set of static assumptions to another set. This means that we are changing from one conventional linear problem to a somewhat different conventional linear problem. If the first two assumptions are relaxed to allow the sales price and unit variable costs to change continuously in response to the forces of supply and demand, we are not asking a "what if" question, we are changing the analysis from the practical linear approach to the theoretical nonlinear approach.
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Consider the following curve:
The theoretical model summarized in Figure 11-16 conveys a very different picture. There are two break-even points where total revenue and total cost are equal. The theoretical profit function intersects the horizonal axis at the two break-even points and reaches a maximum level at the point where the vertical distance between TR and TC is the greatest.
However, in the theoretical model , there are two loss areas, one to the left of the first BEP and one to the right of the second BEP. The profit area is between the two break-even points, thus trying to achieve the maximum level of production and sales will produce losses rather than increased profits.
Consider the following curve: