Radison Enterprises sells a product for $98 per unit. The variable cost is $50 per unit, while fixed costs are $387,072.
Determine (a) the break-even point in sales units and (b) the break-even point if the selling price were increased to $106 per unit.
a. Break-even point in sales units | units |
b. Break-even point if the selling price were increased to $106 per unit | units |
>> Break even point in sales units = ( Fixed cost ) / Contribution margin per unit.
>> Contribution margin per unit = Selling price - Variable cost per unit.
>> Contribution margin per unit = $ 98 - $ 50 = $ 48.
>> Break even point in sales units = $ 387,072 / $ 48 = 8,064.
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>> New Contribution margin per unit = $ 106 - $ 50 = $ 56.
>> New Break even point in sales units = $ 387,072 / $ 56 = 6,912.
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SOLUTION :
a.
Contribution margin per unit (UCM) = SP - UVC = 98 - 50 = 48 ($)
BEP (units) = FC / UCM = 387072 / 48 = 8064 units (ANSWER)
b.
If SP = $106 :
Contribution margin per unit (UCM) = SP - UVC = 106 - 50 = 56 ($)
BEP (units) = FC / UCM = 387072 / 56 = 6912 units (ANSWER)
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