Math Problem Statement

Hadley Corporation, which has only one product, has provided the following data concerning its most recent month of operations

Selling price

Units in beginning inventory O

Units produced

Units sold

$ 126

1,900

1,800

Units in ending inventory 100

Variable costs per unit:

Direct materials

Direct labor

Variable manufacturing overhead

$ 49

$ 28

$5

Variable selling and administrative expense $ 11

Fixed costs:

Fixed manufacturing overhead

$ 32,300

Fixed selling and administrative expense $ 23,400

The total contribution margin for the month under variable costing is:

O $27,100

O $59,400

0 $48.600

O $79,200

Solution

To determine the total contribution margin under variable costing, let's go through the following steps:

  1. Calculate the Total Sales Revenue:

    • Selling price per unit: $126
    • Units sold: 1,800
    • Total Sales Revenue = Selling Price per Unit × Units Sold
      126×1,800=226,800126 \times 1,800 = 226,800
  2. Calculate the Total Variable Cost per Unit:

    • Direct materials: $49
    • Direct labor: $28
    • Variable manufacturing overhead: $5
    • Variable selling and administrative expense: $11
    • Total Variable Cost per Unit = Direct Materials + Direct Labor + Variable Manufacturing Overhead + Variable Selling and Administrative Expense
      49+28+5+11=9349 + 28 + 5 + 11 = 93
  3. Calculate the Total Variable Costs for Units Sold:

    • Total Variable Cost per Unit: $93
    • Units sold: 1,800
    • Total Variable Costs = Total Variable Cost per Unit × Units Sold
      93×1,800=167,40093 \times 1,800 = 167,400
  4. Calculate the Contribution Margin:

    • Contribution Margin = Total Sales Revenue - Total Variable Costs
      226,800167,400=59,400226,800 - 167,400 = 59,400

Answer:

The total contribution margin for the month under variable costing is: 59,400\textbf{59,400}

So, the correct answer is:

  • $59,400

Would you like further clarification on any part of this calculation?


Related Questions:

  1. How would the contribution margin change if the selling price per unit increased by $10?
  2. What impact would a decrease in fixed manufacturing overhead have on the total cost structure?
  3. How does variable costing differ from absorption costing in this scenario?
  4. How would the contribution margin be affected if variable costs per unit were reduced by $5?
  5. What would be the new contribution margin if the units sold increased to 2,000?

Tip:

Remember, in variable costing, fixed manufacturing overhead is treated as a period cost and is not included in the product cost, which affects the contribution margin directly.

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Math Problem Analysis

Mathematical Concepts

Cost Accounting
Variable Costing
Contribution Margin Analysis

Formulas

Total Sales Revenue = Selling Price per Unit × Units Sold
Total Variable Costs = Total Variable Cost per Unit × Units Sold
Contribution Margin = Total Sales Revenue - Total Variable Costs

Theorems

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Suitable Grade Level

Grades 11-12