Sweet Bakery sells pastries and cupcakes. Usually, for every three pastries they sell one cupcake (which means, pastries : cupcake = 3:1). Each pastry has an BDT80 contribution margin, and each cupcake has a BDT60 contribution margin. Sweet Bakery’s fixed costs are BDT180,000 per month. The selling prices of pastries and cupcakes, respectively, are BDT300 and BDT150. The business is subjected to a 40 percent income tax rate.
a. How much revenue is needed to break even? How many pastries and cupcakes does this represent?
Formula for Breakeven Point = Fixed Cost÷Contribution per unit
As mentioned in the question the total fixed cost per month is BDT 180,000. The ratio of Pastries to Cupcakes is 3:1.
Therefore, the fixed Cost attributable to
Pastries is BDT180,000*3÷4
=BDT135,000
Cupcakes is BDT180,000-BDT135000
=BDT45,000
Contribution margin for Pastries - BDT80
Contribution margin for cupcakes -BDT60
Therefore, the Breakeven units is
Pastries = BDT135,000÷80 = 1687.5 or 1688
Cupcakes = BDT45,000÷60=750
Revenue required to Breakeven = BDT618,750 (1687.5*300+750*150)
The revenue represents 1687.5 or 1688 for Pastries and 750 cupcakes.
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