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

What is the unit product cost for the month under variable costing?

O $99 per unit

O $110 per unit

O $82 per unit

O $93 per unit

Solution

To determine the unit product cost under variable costing, we need to consider only the variable production costs, as variable costing excludes fixed manufacturing overhead in the calculation of unit product cost.

Step 1: Identify the variable production costs per unit

The variable production costs per unit include:

  • Direct materials: $49
  • Direct labor: $28
  • Variable manufacturing overhead: $5

Step 2: Calculate the total variable production cost per unit

Variable cost per unit=Direct materials+Direct labor+Variable manufacturing overhead\text{Variable cost per unit} = \text{Direct materials} + \text{Direct labor} + \text{Variable manufacturing overhead} =49+28+5=82= 49 + 28 + 5 = 82

Conclusion

Under variable costing, the unit product cost is $82 per unit.

Answer:

The correct choice is:

  • $82 per unit

Let me know if you'd like additional details or have questions!


Related Questions:

  1. How would the unit product cost change if the variable manufacturing overhead increased?
  2. What would be the unit product cost under absorption costing?
  3. How do beginning and ending inventories affect variable costing calculations?
  4. What impact does fixed manufacturing overhead have in absorption costing?
  5. How does variable costing affect profit calculations compared to absorption costing?

Tip:

Remember, in variable costing, only variable costs directly tied to production are included in unit product cost, while fixed costs are treated as period expenses.

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Math Problem Analysis

Mathematical Concepts

Variable Costing
Cost Accounting

Formulas

Unit Product Cost = Direct Materials + Direct Labor + Variable Manufacturing Overhead

Theorems

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Suitable Grade Level

Undergraduate (Accounting/Finance)