Math Problem Statement
Solution
To calculate the company's total fixed cost, we can use the break-even point formula:
Given:
- Break-even point units = 17,500
- Price per unit = $26.50
- Variable cost per unit = $15.25
Let's rearrange the formula to solve for the fixed costs:
Substituting the values:
So, the company's total fixed cost is $196,875.
Would you like more details or have any questions about this calculation?
Here are some related questions to further explore:
- How do variable costs impact the break-even point?
- What happens to the break-even point if the price per unit decreases?
- How do fixed costs differ from variable costs?
- How would a change in fixed costs affect profitability?
- Can break-even analysis be applied to service industries?
Tip: In break-even analysis, always differentiate between fixed and variable costs to determine the level of sales needed to cover all costs.
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Math Problem Analysis
Mathematical Concepts
Break-even analysis
Fixed costs
Variable costs
Formulas
Break-even point (units) = Fixed costs / (Price per unit - Variable cost per unit)
Fixed costs = Break-even point units × (Price per unit - Variable cost per unit)
Theorems
Break-even analysis
Suitable Grade Level
Grades 10-12
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