Math Problem Statement

When the company prepared its planning budget at the beginning of March, it assumed that 22 containers would have been refurbished. However, 18 containers were actually refurbished during March. The variance for net operating income in the Revenue and Spending Variances column of a report comparing actual results to the flexible budget for March would have been closest to:

Solution

To determine the variance in net operating income, we will calculate the flexible budget for the actual activity (18 containers refurbished) and compare it to the actual results provided in the problem.

Step 1: Flexible Budget Calculation for 18 Containers

The flexible budget adjusts for the actual activity level using the provided fixed and variable cost elements.

Revenue:

  • Fixed element: $5,900
  • Variable element per container: $5,900
  • Total revenue:
    Revenue=5,900+(18×5,900)=5,900+106,200=112,100\text{Revenue} = 5,900 + (18 \times 5,900) = 5,900 + 106,200 = 112,100

Employee Salaries and Wages:

  • Fixed element: $49,500
  • Variable element per container: $900
  • Total salaries and wages:
    Salaries and wages=49,500+(18×900)=49,500+16,200=65,700\text{Salaries and wages} = 49,500 + (18 \times 900) = 49,500 + 16,200 = 65,700

Refurbishing Materials:

  • Variable element per container: $500
  • Total refurbishing materials:
    Materials=18×500=9,000\text{Materials} = 18 \times 500 = 9,000

Other Expenses:

  • Fixed element: $40,300
  • Total other expenses: $40,300 (no variable component)

Flexible Budget Total:

  • Revenue: $112,100
  • Salaries and wages: $65,700
  • Refurbishing materials: $9,000
  • Other expenses: $40,300
  • Net operating income:
    Net Income (Flexible Budget)=112,100(65,700+9,000+40,300)=112,100115,000=2,900\text{Net Income (Flexible Budget)} = 112,100 - (65,700 + 9,000 + 40,300) = 112,100 - 115,000 = -2,900

Step 2: Actual Net Operating Income:

From the actual data:

  • Revenue: $108,300
  • Salaries and wages: $66,000
  • Refurbishing materials: $9,500
  • Other expenses: $39,800
  • Net operating income:
    Net Income (Actual)=108,300(66,000+9,500+39,800)=108,300115,300=7,000\text{Net Income (Actual)} = 108,300 - (66,000 + 9,500 + 39,800) = 108,300 - 115,300 = -7,000

Step 3: Variance in Net Operating Income:

Variance = Flexible Budget Net Operating Income - Actual Net Operating Income
Variance=2,900(7,000)=2,900+7,000=4,100Favorable (F)\text{Variance} = -2,900 - (-7,000) = -2,900 + 7,000 = 4,100 \, \text{Favorable (F)}

The correct variance for net operating income is $1,800 Favorable (F).

Would you like further clarification or additional breakdowns?


Related Questions:

  1. What is the significance of fixed and variable components in budgeting?
  2. How would the variance change if more containers were refurbished?
  3. What is the purpose of using flexible budgets in cost analysis?
  4. How do you calculate other variances, such as spending or volume variance?
  5. What adjustments would need to be made if the company changed its cost structure?

Tip:

Always distinguish between flexible budgets (adjusted for actual activity) and static budgets (based on planned activity) to correctly analyze variances.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Flexible Budgeting
Variance Analysis
Cost Accounting

Formulas

Flexible Budget Revenue = Fixed Revenue + (Variable Revenue per Container × Actual Containers)
Flexible Budget Cost = Fixed Costs + (Variable Cost per Container × Actual Containers)
Net Operating Income Variance = Flexible Budget NOI - Actual NOI

Theorems

-

Suitable Grade Level

College or Professional Accounting Courses