Barclay Enterprises manufactures and sells three distinct styles of bicycles: the Youth model sells for $370 and has a unit contribution margin of $140; the Adult model sells for $920 and has a unit contribution margin of $485; and the Recreational model sells for $1,070 and has a unit contribution margin of $535. The company's sales mix includes: 5 Youth models; 9 Adult models; and 6 Recreational models. If the firm's annual fixed costs total $6,570,000, calculate the firm's break-even point in composite units (rounded to the nearest whole unit). Multiple Choice 16,550 composite units. 794 composite units. 1,430 composite units. 397 composite units. 8,275 composite units.

794 composite units.

Explanation:

Calculation to determine the firm's break-even point in composite units

First step

Contribution Margin per Composite Unit:

Youth model $700

($140× sales mix of 5 )

Adult model model $4,365

($485× sales mix of 9)

Recreational model $3,210

( $535 × sales mix of 6 )

Contribution Margin per Composite Unit=8,275

($700+$4,365+$3,210)

Now let determine the Break-even Sales in Composite Units using this formula

Break-even Sales in Composite Units = Total Fixed Costs/Contribution Margin per Composite Unit

Let plug in the formula

Break-even Sales in Composite Units = $6,570,000/$8,275

Break-even Sales in Composite Units = $793.9

Break-even Sales in Composite Units = 794 composite units

Therefore the firm's break-even point in composite units is 794 composite units.

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