Math Problem Statement

give me answer

Find the missing quantities. If there is no operating loss or absolute loss, write 'none.'

Solution

Let's break down the problem step by step.

Given:

  • Cost: $19.84
  • Breakeven Point: $27.84
  • Reduced Price: $17.46

Definitions:

  • Operating Expense: The total cost incurred to maintain the business.
  • Operating Loss: Occurs when the reduced price is less than the breakeven point.
  • Absolute Loss: Occurs when the reduced price is less than the cost price.

Steps:

  1. Find Operating Expense:
    The breakeven point is calculated as: Breakeven Point=Cost+Operating Expense\text{Breakeven Point} = \text{Cost} + \text{Operating Expense} Substituting the given values: 27.84=19.84+Operating Expense27.84 = 19.84 + \text{Operating Expense} Operating Expense=27.8419.84=8\text{Operating Expense} = 27.84 - 19.84 = 8

  2. Find Operating Loss:
    Operating loss occurs if the reduced price is less than the breakeven point: Operating Loss=Breakeven PointReduced Price\text{Operating Loss} = \text{Breakeven Point} - \text{Reduced Price} Substituting the given values: Operating Loss=27.8417.46=10.38\text{Operating Loss} = 27.84 - 17.46 = 10.38

  3. Find Absolute Loss:
    Absolute loss occurs if the reduced price is less than the cost: Absolute Loss=CostReduced Price\text{Absolute Loss} = \text{Cost} - \text{Reduced Price} Substituting the given values: Absolute Loss=19.8417.46=2.38\text{Absolute Loss} = 19.84 - 17.46 = 2.38

Answer:

The correct answer is B:

  • Operating Expense = $8
  • Operating Loss = $10.38
  • Absolute Loss = $2.38

Would you like further details or have any questions?

Here are 5 related questions:

  1. How would operating profit be calculated if the reduced price were higher than the breakeven point?
  2. What is the significance of a breakeven point in business?
  3. How does absolute loss differ from operating loss in financial terms?
  4. Can operating expenses vary, and what factors could affect them?
  5. How could a business mitigate absolute and operating losses?

Tip: Always ensure to distinguish between cost, breakeven point, and reduced price to calculate losses or profits effectively.

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Cost Analysis
Loss Calculations

Formulas

Breakeven Point = Cost + Operating Expense
Operating Loss = Breakeven Point - Reduced Price
Absolute Loss = Cost - Reduced Price

Theorems

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Suitable Grade Level

Grades 8-10