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:
-
Calculate the Total Sales Revenue:
- Selling price per unit: $126
- Units sold: 1,800
- Total Sales Revenue = Selling Price per Unit × Units Sold
-
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
-
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
-
Calculate the Contribution Margin:
- Contribution Margin = Total Sales Revenue - Total Variable Costs
- Contribution Margin = Total Sales Revenue - Total Variable Costs
Answer:
The total contribution margin for the month under variable costing is:
So, the correct answer is:
- $59,400
Would you like further clarification on any part of this calculation?
Related Questions:
- How would the contribution margin change if the selling price per unit increased by $10?
- What impact would a decrease in fixed manufacturing overhead have on the total cost structure?
- How does variable costing differ from absorption costing in this scenario?
- How would the contribution margin be affected if variable costs per unit were reduced by $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
-
Suitable Grade Level
Grades 11-12
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