Math Problem Statement
Solution
To calculate the Contribution Margin Ratio, we first need to determine the contribution margin per unit and then express it as a percentage of the sales price per unit.
Given Data:
- Sales price per unit = $500
- Variable manufacturing expense per unit = $50
- Variable marketing expense per unit = $50
- Fixed expenses = $100,000 (not directly relevant for calculating contribution margin ratio)
- Units sold = 5,000 (not directly relevant for calculating contribution margin ratio)
Steps:
-
Calculate Total Variable Cost per Unit:
-
Calculate Contribution Margin per Unit:
-
Calculate Contribution Margin Ratio:
Answer:
The Contribution Margin Ratio is 80%.
Would you like further details or have any questions?
Related Questions:
- How would changes in variable costs affect the contribution margin ratio?
- What impact does an increase in fixed expenses have on the break-even point?
- How can the contribution margin ratio be used to make pricing decisions?
- What is the significance of a high contribution margin ratio for a company?
- How does the contribution margin ratio relate to profitability?
Tip:
A higher contribution margin ratio indicates that a larger portion of sales revenue contributes to covering fixed costs and generating profit.
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Math Problem Analysis
Mathematical Concepts
Contribution Margin Ratio
Cost Analysis
Profitability Analysis
Formulas
Total Variable Cost per Unit = Variable Manufacturing Expense + Variable Marketing Expense
Contribution Margin per Unit = Sales Price per Unit - Total Variable Cost per Unit
Contribution Margin Ratio = (Contribution Margin per Unit / Sales Price per Unit) × 100%
Theorems
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Suitable Grade Level
Undergraduate (Business/Finance)
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