Yale Company manufactures hair brushes that sell at wholesale for $3 per unit. The company had no beginning inventory in the prior year. These data summarize the current and prior year operations:
Prior Year | Current Year | |||||
Sales | 3,400 | units | 7,000 | units | ||
Production | 5,200 | units | 5,200 | units | ||
Production cost | ||||||
Factory—variable (per unit) | $ | 0.60 | $ | 0.60 | ||
—fixed | $ | 2,600 | $ | 2,600 | ||
Marketing—variable | $ | 0.40 | $ | 0.40 | ||
Administrative—fixed | $ | 500 | $ | 500 | ||
Required:
1. Prepare an income statement for each year based on full costing.
2. Prepare an income statement for each year based on variable costing.
3. Prepare a reconciliation of the difference each year in the operating income resulting from using the full costing method and variable costing method.
Prepare an income statement for each year based on full costing.
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Ans. 1 | YALE COMPANY | ||||
Full Costing Income Statement | |||||
PARTICULARS | Prior Year | Current Year | |||
Sales | $10,200 | $21,000 | |||
Less: Cost of goods sold | |||||
Opening inventory | $0 | 1980 | |||
Add: Cost of goods manufactured | $5,720 | $5,720 | |||
Cost of goods available for sale | $5,720 | $7,700 | |||
Less: Ending inventory | -$1,980 | $0 | |||
Cost of goods sold (total) | $3,740 | $7,700 | |||
Gross margin | $6,460 | $13,300 | |||
Marketing & Administrative expenses: | |||||
Fixed | $500 | $500 | |||
Variable | $1,360 | $2,800 | |||
Total Marketing and administrative expenses | $1,860 | $3,300 | |||
Net Income | $4,600 | $10,000 | |||
*Variable selling & administrative expenses = Units sold * Variable selling and administrative expenses per unit | |||||
*Ending inventory = (Units produced - Units sold) * Production cost per unit | |||||
*Calculations for Full costing Income statement: | |||||
Unit product cost under Full Costing: | |||||
Variable Production cost per unit | $0.60 | ||||
Fixed Production cost per unit ($2,600 / 5,200) | $0.50 | ||||
Product Cost per unit | $1.10 | ||||
*Fixed cost per unit = Fixed production cost / Units produced | |||||
*Calculations: | Prior Year | Current Year | |||
Sales | 3,400 * $3 | 7,000 * $3 | |||
Less: Cost of goods sold | |||||
Opening inventory | $0 | 1,800 * $1.10 | |||
Add: Cost of goods manufactured | 5,200 * $1.10 | 5,200 * $1.10 | |||
Cost of goods available for sale | |||||
Ending inventory | (5,200 - 3,400) * $1.10 | (5,200+1,800-7,000) * $1.10 | |||
Marketing & Administrative expenses: | |||||
Fixed | $500 | $500 | |||
Variable | $0.40 * 3,400 | $0.40 * 7,000 | |||
Ans. 2 | YALE COMPANY | ||||
Full Costing Income Statement | |||||
PARTICULARS | Prior Year | Current Year | |||
Sales | $10,200 | $21,000 | |||
Less: Variable cost of goods sold: | |||||
Opening inventory | $0 | 1080 | |||
Add: Variable cost of goods manufactured | $3,120 | $3,120 | |||
Variable cost of goods available for sale | $3,120 | $4,200 | |||
Less: Ending inventory | -$1,080 | $0 | |||
Variable cost of goods sold | $2,040 | $4,200 | |||
Gross Contribution Margin | $8,160 | $16,800 | |||
Less: Variable Marketing expenses | $1,360 | $2,800 | |||
Contribution Margin | $6,800 | $14,000 | |||
Less: Fixed expenses: | |||||
Fixed factory production cost | $2,600 | $2,600 | |||
Fixed administrative expenses | $500 | $3,100 | $500 | $3,100 | |
Net operating income | $3,700 | $10,900 | |||
*Variable cost of goods manufactured = Units produced * Variable unit product cost | |||||
*Variable selling and administrative expenses = Units sold * Variable selling and administrative expenses per unit sold | |||||
In variable costing method, the unit product cost is the sum of only variable | |||||
manufacturing costs per unit | |||||
Unit product cost under Variable Costing = $0.60 per unit in each year | |||||
*Calculations: | |||||
Prior Year | Current Year | ||||
Sales | 3,400 * $3 | 7,000 * $3 | |||
Less: Variable cost of goods sold: | |||||
Opening inventory | $0 | 1,800 * $0.60 | |||
Variable Cost of goods manufactured | 5,200 * $0.60 | 5,200 * $0.60 | |||
Ending inventory | (5,200 - 3,400) * $0.60 | (5,200+1,800-7,000) * $0.60 | |||
Variable Marketing expenses | $0.40 * 3,400 | $0.40 * 7,000 | |||
Fixed factory production cost | $2,600 | $2,600 | |||
Fixed administrative expenses | $500 | $500 | |||
Ans. 3 | Reconciliation of the difference between Full costing and Variable costing net income: | ||||
Prior Year | |||||
Variable costing net income | $10,900 | ||||
Less: Fixed part of beginning inventory ($0.50*1,800) | -$900 | ||||
Full costing net income | $10,000 | ||||
Current Year | |||||
Variable costing net income | $3,700 | ||||
Add: Fixed part of ending inventory ($0.50*1,800) | $900 | ||||
Full costing net income | $4,600 | ||||
The underlying reason for the difference between two methods is the fixed part | |||||
of beginning and ending inventory. | |||||
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