Math Problem Statement
Solution
To solve the problem presented in the image, we need to calculate the missing values based on the data provided.
Step-by-step breakdown:
Given Values:
- Cost: $19.84
- Breakeven Point: $27.84
- Reduced Price: $17.46
- Operating Expense: ?
- Operating Loss: ?
- Absolute Loss: ?
Approach:
-
Operating Expense: The operating expense can be calculated using the breakeven point formula: So,
-
Operating Loss: The operating loss occurs when the reduced price is less than the breakeven point. The formula is: Since the result is negative, this is a loss of $2.38.
-
Absolute Loss: The absolute loss includes both the operating expense and the operating loss. It's calculated as:
Note: There seems to be some confusion with the values provided in the options. I'll now check the options to see which one fits these calculations.
Checking Options:
- A: Incorrect.
- B: Operating expense is $8.00, which matches, and the operating loss of $2.38 is also correct. However, the absolute loss is not $2.38.
- C: Incorrect because the operating expense is $10.38.
- D: Incorrect due to mismatch in absolute loss.
Thus, option B fits most of the calculated values.
Would you like more details or have any questions on this solution?
Here are some relative questions you can explore:
- What is the significance of breakeven points in business analysis?
- How is operating loss different from absolute loss?
- Can operating expenses fluctuate based on external factors?
- What strategies can businesses use to minimize absolute losses?
- How can companies adjust prices to avoid operating losses?
Tip: When calculating losses, always distinguish between fixed costs (like operating expenses) and variable costs (like production costs), as they affect different parts of profit analysis.
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Math Problem Analysis
Mathematical Concepts
Cost Analysis
Breakeven Point
Profit and Loss
Formulas
Breakeven Point = Cost + Operating Expense
Operating Loss = Reduced Price - Cost
Absolute Loss = Operating Loss + Operating Expense
Theorems
Basic Profit and Loss Calculation
Suitable Grade Level
Grades 10-12
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