In: Accounting
Walsh Company manufactures and sells one product. The following information pertains to each of the company’s first two years of operations: Variable costs per unit: Manufacturing: Direct materials $ 23 Direct labor $ 16 Variable manufacturing overhead $ 4 Variable selling and administrative $ 3 Fixed costs per year: Fixed manufacturing overhead $ 320,000 Fixed selling and administrative expenses $ 50,000 During its first year of operations, Walsh produced 50,000 units and sold 40,000 units. During its second year of operations, it produced 40,000 units and sold 50,000 units. The selling price of the company’s product is $56 per unit. Required: 1. Assume the company uses variable costing: a. Compute the unit product cost for Year 1 and Year 2. b. Prepare an income statement for Year 1 and Year 2. 2. Assume the company uses absorption costing: a. Compute the unit product cost for Year 1 and Year 2. b. Prepare an income statement for Year 1 and Year 2. 3. Reconcile the difference between variable costing and absorption costing net operating income in Year 1.
Answer
Under Variable Costing
Year 1 |
Year 2 |
|
Direct Material |
23 |
23 |
Direct Labor |
16 |
16 |
Variable Manufacturing Overhead |
4 |
4 |
Unit Cost |
43 |
43 |
Under Variable Costing, we will include only Variable manufacturing expenses while calculating Unit cost
Income Statement
Sales |
2,240,000 |
2,800,000 |
Variable Expenses |
||
Cost of Goods Sold |
||
Opening Inventory |
- |
430,000 (10,000 units *$43) |
Add: Cost of Goods Manufactured |
2,150,000 (50,000 units *$43) |
1,720,000 (40,000 units *$43) |
Less: Closing Inventory |
430,000 (10,000 units *$43) |
- |
Cost of Goods Sold |
1,720,000 |
2,150,000 |
Variable Selling and Adm. expenses @ $3 |
120,000 |
150,000 |
Total Variable Expenses |
1,840,000 |
2,300,000 |
Contribution Margin |
400,000 |
500,000 |
Fixed Expenses |
||
Fixed Manufacturing Overhead |
320,000 |
320,000 |
Fixed Selling and Adm. Expenses |
50,000 |
50,000 |
Total Fixed expenses |
370,000 |
370,000 |
Net operating income |
30,000 |
130,000 |
Under Absorption Costing
Fixed Manufacturing Overhead per unit = Fixed Manufacturing Overhead / No. of Unit Produced
While calculating Unit cost under Absorption costing, we will include Fixed Manufacturing overhead per unit while calculating Unit Cost.
Year 1 |
Year 2 |
|
Direct Material |
23 |
23 |
Direct Labor |
16 |
16 |
Variable Manufacturing Overhead |
4 |
4 |
Fixed Manufacturing overhead |
6.4 ($320,000 / 50,000 Units) |
8 ($320,000 / 40,000 Units) |
Unit Cost |
49.4 |
51 |
Income Statement
Sales |
2,240,000 |
2,800,000 |
Variable Expenses |
||
Cost of Goods Sold |
||
Opening Inventory |
- |
494,000 (10,000 units *$49.4) |
Add: Cost of Goods Manufactured |
2,470,000 (50,000 units *$49.4) |
2,040,000 (40,000 units *$51) |
Less: Closing Inventory |
494,000 (10,000 units *$49.4) |
- |
Cost of Goods Sold |
1,976,000 |
2,534,000 |
Variable Selling and Adm. expenses @ $3 |
120,000 |
150,000 |
Total Variable Expenses |
2,096,000 |
2,684,000 |
Contribution Margin |
144,000 |
116,000 |
Fixed Expenses |
||
Fixed Selling and Adm. Expenses |
50,000 |
50,000 |
Total Fixed expenses |
50,000 |
50,000 |
Net operating income |
94,000 |
66,000 |
Reconciliation between variable and absorption costing
The difference between profits is $64,000; this is because the production is more than sales, as Fixed cost is defered in closing inventory under Absorption costing, thatswhy the profit under Absorption costing is higher than Variable costing
Net profit under Variable costing |
30,000 |
Add: Fixed manufacturing overhead differed in Closing Inventory (10,000 Units * $6.4) |
64,000 |
Profit under Absorption costing |
94,000 |