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Shore Co. sells two products, kayaks and motors. Last year, Shore sold 12,600 units of kayaks and 23,400 units of motors. Related data are as follows: Product Unit Selling Price Unit Variable Cost Unit Contribution Margin Kayaks $120 $80 $40 Motors 80 60 20 Assuming that last year's fixed costs totaled $910,035, what was Shore Co.'s break-even point in units

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Answer:

Break-even points in  units is  33,705.00  

Explanation:

Break-even point in units=fixed costs/weighted average selling price-weighted average variable cost

Kayaks       12,600

Motors        23,400

total             36,000

kayaks  sales mix=12,600/36,000=0.35

Motors sales mix  =23,400/36,000=0.65

weighted average selling price=$120*0.35+$80*0.65

                                                   =$42+$52

                                                    =$94

weighted average variable cost=$80*0.35+$60*0.65

                                                     =$28+$39

                                                     =$67

fixed costs is $910,035

break-even points in units=$910,035/($94-$67)

                                           = 33,705.00  

The mix of both Kayaks and Motors that would gives no profit no loss is  33,705.00  

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