Max Company manufactures and sells three products: Good, Better, and Best. Annual fixed costs are $3,315,000, and data about the three products follow.?GoodBetterBestSales mix in units30%50%20%Selling price$250$350$500Variable cost100150250Required: A. Determine the weighted-average unit contribution margin.B. Determine the break-even volume in units for each product.C. Determine the total number of units that must be sold to obtain a profit for the company of $234,000.D. Assume that the sales mix for Good, Better, and Best is changed to 50%, 30%, and 20%, respectively. Will the number of units required to break-even increase or decrease? Explain. Hint: Detailed calculations are not needed to obtain the proper solution.

What will be an ideal response?


A.

?GoodBetterBest
Selling price$250$350$500
Less: Variable cost100150250
Contribution margin$150$200$250

Good: $150 × 30%?$45?
Better: $200 × 50%?100?
Best: $250 × 20%?  50?
Weighted-average CM?$195?
B. Break-even volume: $3,315,000 ÷ $195 = 17,000 units
Good: 17,000 × 30% = 5,100 units
Better: 17,000 × 50% = 8,500 units
Best: 17,000 × 20% = 3,400 units

C. Volume to earn $234,000: ($3,315,000 + $234,000) ÷ $195 = 18,200 units

D. The number of units required would increase since a greater proportion of lower-contribution-margin units (specifically, Good) would be sold.

Business

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