question archive A company expects to get fixed expenses 15,000 next year, Sales Residential $60,000, Sales Commercial $140,000,Contribution margin ratio for Residential 50% ,Contribution margin ratio for Commercial 30%
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A company expects to get fixed expenses 15,000 next year, Sales Residential $60,000, Sales Commercial $140,000,Contribution margin ratio for Residential 50% ,Contribution margin ratio for Commercial 30%.
what would be the corporation total dollar sales have to be next year to get profit 100,000?
For residential customer: For commercial customer:
Sales=$60000 Sales=$140000
Contribution margin ratio=50% Contribution margin ratio=30%
Fixed expenses=$15000 Fixed expenses=$15000
The contribution margin for residential customer is: The contribution margin for commercial customer is:
Contribution margin= Sales*contribution margin ratio Contribution margin= Sales*contribution margin ratio
Contribution margin= $60000*0.5= $30000 Contribution margin= $140000*0.3=$42000
Here the ratio of contribution margin will be:
Residential : Commercial
$30000 : $42000
5 : 7
The target profit to be reached is $100000
Fixed expenses are $15000
Target profit+ fixed expenses= $115000
This $115000 should be divided in the ratio of contribution margin.
Step-by-step explanation
Residential : Commercial
$115000(5/12): $115000(7/12)
$47917 : $67083
Now contribution margin value has changed.We will calculate the sales value.
For residential customer:
Contribution margin= Sales* Contribution margin ratio
$47917 = Sales* 0.5
Sales = $47917/0.5= $95834
For commercial customer:
Contribution margin= Sales*Contribution margin ratio
$67083 = Sales*0.3
Sales = $223610
Dollar value to attain the target profit of $100000 is
= $95834+ $223610
= $319444