Problem 9-38 (Algo) Profit-Planning; Multiple Products [LO 9-3, 9-6]

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	18,096	80%
B	4,524	20
Total	22,620	100%

Assume the following unit selling prices and unit variable costs:

Product	Selling Price	Variable Cost	Contribution Margin
A	$ 83	$ 68	$ 15
B	143	103	40

Fixed costs are $406,000 per year. Assume that the sales mix, expressed in terms of relative physical units sold, is constant as sales volume changes.

Required:

1. 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. 3. Determine the overall breakeven point in terms of sales dollars based on the weighted-average contribution margin ratio (CMR). (Hint: The weights for calculating the weighted-average CMR are based on relative sales dollars, not units, of the two products.) Break down the total sales dollars breakeven point into sales dollars for product A and sales dollars for product B. 5. Assume the original facts except that now fixed costs are expected to be $40,600 higher than originally planned. How does this expected increase in fixed costs affect the breakeven point in units? How does the percentage change in the breakeven point compare to the percentage increase in fixed costs?

Determine the overall breakeven point in terms of sales dollars based on the weighted-average contribution margin ratio (CMR). (Hint: The weights for calculating the weighted-average CMR are based on relative sales dollars, not units, of the two products.) Break down the total sales dollars breakeven point into sales dollars for product A and sales dollars for product B. (Do not round intermediate calculations. Round your final answers to the nearest whole dollar amount.)

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Overall Breakeven point in dollars
Breakeven point in dollars for Product A
Breakeven point in dollars for Product B