Most businesses sell several products at varying prices. The products often have different unit variable costs. Thus, the total profit and the breakeven point depend on the proportions in which the products are sold. Sales mix is the relative contribution of sales among various products sold by a firm. Assume that the sales of Jordan Incorporated for a typical year are as follows:   Product Units Sold Sales Mix A 18,320 80% B 4,580 20 Total 22,900 100%   Assume the following unit selling prices and unit variable costs:   Product Selling Price Variable Cost Contribution Margin A $ 90 $ 75 $ 15 B 150 110 40   Fixed costs are $420,000 per year. Assume that the sales mix, expressed in terms of relative physical units sold, is constant as sales volume changes. Determine the breakeven point in total units and, for this breakeven point, calculate the number of units of A and B that must be sold. Use the weighted-average contribution margin approach.

Financial Reporting, Financial Statement Analysis and Valuation
8th Edition
ISBN:9781285190907
Author:James M. Wahlen, Stephen P. Baginski, Mark Bradshaw
Publisher:James M. Wahlen, Stephen P. Baginski, Mark Bradshaw
Chapter10: Forecasting Financial Statement
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Most businesses sell several products at varying prices. The products often have different unit variable costs. Thus, the total profit and the breakeven point depend on the proportions in which the products are sold. Sales mix is the relative contribution of sales among various products sold by a firm. Assume that the sales of Jordan Incorporated for a typical year are as follows:

 

Product Units Sold Sales Mix
A 18,320 80%
B 4,580 20
Total 22,900 100%

 

Assume the following unit selling prices and unit variable costs:

 

Product Selling Price Variable Cost Contribution Margin
A $ 90 $ 75 $ 15
B 150 110 40

 

Fixed costs are $420,000 per year. Assume that the sales mix, expressed in terms of relative physical units sold, is constant as sales volume changes.

Determine the breakeven point in total units and, for this breakeven point, calculate the number of units of A and B that must be sold. Use the weighted-average contribution margin approach.

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