Math Problem Statement
Gabuat 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
$ 106
2,600
2,200
Units in ending inventory 400
Variable costs per unit:
•Direct materials
Direct labor
Variable manufacturing overhead
$46
$ 28
$2
Variable selling and administrative expense $ 7
Fixed costs:
Fixed manufacturing overhead
$33,800
Fixed selling and administrative expense $ 8,800
The total contribution margin for the month under variable costing is:
O $16,800
O $37,400
O $50,600
O $66,000
Solution
To calculate the total contribution margin under variable costing, we need to understand and apply the following steps:
1. Calculate Sales Revenue
The revenue is based on the units sold multiplied by the selling price per unit.
2. Calculate Total Variable Costs
Variable costs include direct materials, direct labor, variable manufacturing overhead, and variable selling and administrative expense.
- Direct materials cost per unit = $46
- Direct labor cost per unit = $28
- Variable manufacturing overhead per unit = $2
- Variable selling and administrative expense per unit = $7
The total variable cost per unit is the sum of these values:
Now, we calculate the total variable costs for the units sold:
3. Calculate Contribution Margin
The contribution margin is the difference between sales revenue and total variable costs.
Answer
The total contribution margin for the month under variable costing is:
Correct Answer
Option: $50,600
Would you like further details on variable costing, contribution margin calculations, or additional examples? Here are some related questions:
- How do fixed costs affect the contribution margin in variable costing?
- What is the purpose of calculating contribution margin in managerial accounting?
- How does absorption costing differ from variable costing?
- How would the contribution margin change if sales volume increased?
- What impact do variable selling expenses have on the break-even point?
Tip: In variable costing, only variable costs are considered in the cost of goods sold, making it easier to assess the impact of changes in sales volume.
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Math Problem Analysis
Mathematical Concepts
Cost Accounting
Contribution Margin
Variable Costing
Formulas
Sales Revenue = Units Sold × Selling Price per Unit
Total Variable Costs = Total Variable Cost per Unit × Units Sold
Contribution Margin = Sales Revenue - Total Variable Costs
Theorems
-
Suitable Grade Level
Grades 11-12
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