Math Problem Statement
What is the company's total fixed cost amount?
Group of answer choices
$463,750
$265,825
$197,925
$196,875
Solution
To find the total fixed costs, we use the formula for the break-even point in units:
Values from the image:
- Break-even point (units):
- Product price per unit:
- Variable cost per unit:
Substitute these values into the formula and solve for Fixed Costs:
Step-by-step Calculation:
-
Calculate the contribution margin (price per unit - variable cost per unit):
-
Rearrange the equation to solve for Fixed Costs:
-
Multiply:
Final Answer:
The company's total fixed cost amount is $196,875.
Group of answer choices:
- Correct answer: $196,875
Would you like further details or explanations on this calculation?
Related Questions:
- How is the contribution margin ratio calculated and interpreted?
- What happens to the break-even point if fixed costs increase?
- How can changes in variable costs affect the break-even point?
- How would the fixed costs be distributed if multiple products are involved?
- How is the margin of safety calculated and used in decision-making?
Tip:
Always verify your contribution margin calculation when solving break-even analysis problems—it plays a critical role in ensuring the accuracy of your result!
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Math Problem Analysis
Mathematical Concepts
Break-even Analysis
Linear Equations
Contribution Margin
Formulas
Break-even point (units) = Fixed Costs / (Price per unit - Variable Cost per unit)
Fixed Costs = Break-even point × Contribution Margin
Theorems
Break-even Analysis Formula
Suitable Grade Level
Grades 9-12
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