Question

On April 30, the end of the first month of operations, Joplin Company prepared the following income statement, based on the absorption costing concept:

Joplin Company
Absorption Costing Income Statement
For the Month Ended April 30
Line Item Description Amount Amount
Sales (3,300 units) $125,400
Cost of goods sold:
Cost of goods manufactured (3,894 units) $105,138
Inventory, April 30 (594 units) (16,038)
Total cost of goods sold (89,100)
Gross profit $36,300
Selling and administrative expenses (21,480)
Operating income $14,820

If the fixed manufacturing costs were $25,233.12 and the fixed selling and administrative expenses were $10,520, prepare an income statement according to the variable costing concept. Round all final answers to whole dollars.

Make me a Variable costing income statement

Answers

GPT-4o mini
To prepare a variable costing income statement for Joplin Company, we need to differentiate between variable and fixed costs. In variable costing, only variable manufacturing costs are included in the cost of goods sold, while fixed manufacturing costs are treated as period costs and deducted in the period incurred.

Here’s how to prepare the variable costing income statement:

### Step 1: Identify Costs
1. **Sales** = $125,400
2. **Cost of Goods Sold (Variable)**:
- Total cost of goods manufactured (3,894 units): $105,138 (for variable costing, we need to calculate only variable product costs)
- Fixed manufacturing costs = $25,233.12 (We will not include this in the COGS calculation but will deduct it separately)
3. **Selling and Administrative Expenses**:
- Total Selling and Administrative Expenses = $21,480 (includes both variable and fixed components)
- Fixed Selling and Administrative Expenses = $10,520 (we will deduct this separately)

### Step 2: Calculate Variable COGS
From the provided COGS information, the variable portion of COGS can be found by exclusion:

- **Total Cost of Goods Manufactured**: $105,138
- **Added Fixed Manufacturing Costs**: $25,233.12
- **Total Fixed Manufacturing Costs** = $25,233.12
- Therefore, **Variable COGS** can be derived as:
- Variable COGS = Total cost of goods manufactured - fixed manufacturing costs
- Variable COGS = $105,138 - $25,233.12 = $79,904.88, but this needs to consider the inventory
- Since the inventory at April 30 is 594 units, and the total manufactured was for 3,894, we need to calculate variable COGS.
- Variable cost per unit = Total Variable Cost / Total units manufactured = $79,904.88 / 3,894 = $20.51 per unit
- Variable Cost for Ending Inventory (594 units) = 594 * $20.51 = $12,186.54 ~ $12,187
- Thus, **Variable COGS = Total Cost of Goods Sold - Ending Inventory Variable Cost = $79,904.88 - $12,187 = $67,718.12 (~$67,718)**.

### Step 3: Prepare the Income Statement
Now, we can prepare the Variable Costing Income Statement.

### Joplin Company
### Variable Costing Income Statement
### For the Month Ended April 30

| Line Item Description | Amount |
|-----------------------------------------------|-------------|
| Sales (3,300 units) | $125,400 |
| Variable Cost of Goods Sold | ($67,718) |
| **Gross Profit** | **$57,682** |
| Selling and administrative expenses | |
| Variable Selling and Administrative Expenses | ($10,960) |
| Fixed Selling and Administrative Expenses | ($10,520) |
| **Total Selling and Administrative Expenses**| ($21,480) |
| **Operating Income** | **$36,202** |

### Final Notes:
- COGS is calculated only considering variable costs and the remaining fixed manufacturing cost is accounted in the period expenses.
- The selling and administrative expenses are also now separated between variable and fixed if applicable. In the absence of specific data, the total S&A expenses remain the same, pending the allocation of variable components, should further details exist.

This income statement reflects the approach and principles of variable costing, rounding calculations to whole dollars as requested.