In: Accounting
Problem 7-16 Comparing Traditional and Activity-Based Product Margins [LO7-1, LO7-3, LO7-4, LO7-5]
Hi-Tek Manufacturing, Inc., makes two types of industrial component parts—the B300 and the T500. An absorption costing income statement for the most recent period is shown:
Hi-Tek Manufacturing Inc. Income Statement |
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Sales | $ | 1,691,500 | |
Cost of goods sold | 1,247,807 | ||
Gross margin | 443,693 | ||
Selling and administrative expenses | 560,000 | ||
Net operating loss | $ | (116,307 | ) |
Hi-Tek produced and sold 60,200 units of B300 at a price of $20 per unit and 12,500 units of T500 at a price of $39 per unit. The company’s traditional cost system allocates manufacturing overhead to products using a plantwide overhead rate and direct labor dollars as the allocation base. Additional information relating to the company’s two product lines is shown below:
B300 | T500 | Total | ||||
Direct materials | $ | 400,700 | $ | 162,200 | $ | 562,900 |
Direct labor | $ | 120,900 | $ | 43,000 | 163,900 | |
Manufacturing overhead | 521,007 | |||||
Cost of goods sold | $ | 1,247,807 | ||||
The company has created an activity-based costing system to evaluate the profitability of its products. Hi-Tek’s ABC implementation team concluded that $50,000 and $107,000 of the company’s advertising expenses could be directly traced to B300 and T500, respectively. The remainder of the selling and administrative expenses was organization-sustaining in nature. The ABC team also distributed the company’s manufacturing overhead to four activities as shown below:
Manufacturing Overhead |
Activity | |||||
Activity Cost Pool (and Activity Measure) | B300 | T500 | Total | |||
Machining (machine-hours) | $ | 209,747 | 90,100 | 63,000 | 153,100 | |
Setups (setup hours) | 150,360 | 78 | 280 | 358 | ||
Product-sustaining (number of products) | 100,600 | 1 | 1 | 2 | ||
Other (organization-sustaining costs) | 60,300 | NA | NA | NA | ||
Total manufacturing overhead cost | $ | 521,007 | ||||
Required:
1. Compute the product margins for the B300 and T500 under the company’s traditional costing system.
2. Compute the product margins for B300 and T500 under the activity-based costing system.
3. Prepare a quantitative comparison of the traditional and activity-based cost assignments.
B300 | T500 | Total | ||||||||||||
Units | 60200 | 12500 | ||||||||||||
Sales Price | 20.00 | 39.00 | ||||||||||||
Direct Material | 400700 | 162200 | 562900 | Total Manufacturing OH | 521007 | |||||||||
Direct Labor | 120900 | 43000 | 163900 | Total Direct Labor Dollars | 163900 | |||||||||
Manufacturing OH | 521007 | Overhead Per Dollars | 3.18 | |||||||||||
Cost of Goods Sold | 1247807 | |||||||||||||
1 | B300 | T500 | ||||||||||||
Sales Price | 20.00 | 39.00 | ||||||||||||
Less: Direct Material | 6.66 | 12.98 | ||||||||||||
Less: Direct Labor | 2.01 | 3.44 | ||||||||||||
Less: Maufacturing OH | 6.38 | 10.94 | (DL Dollars* OHRate) | |||||||||||
Product Margin | 4.95 | 11.65 | 16.60 | |||||||||||
2 | B300 | T500 | Activity Pools | Amt | B300 | T500 | Total | Per Driver | ||||||
Sales Price | 20.00 | 39.00 | Machining | 209747 | 90100 | 63000 | 153100 | 1.37 | ||||||
Less: Direct Material | 6.66 | 12.98 | Setups | 150360 | 78 | 280 | 358 | 420 | ||||||
Less: Direct Labor | 2.01 | 3.44 | Product Sustaining | 100600 | 1 | 1 | 2 | 50,300 | ||||||
Less: Maufacturing OH | 3.43 | 20.34 | From Right Side | Other | 60300 | NA | NA | NA | ||||||
Product Margin | 7.91 | 2.25 | Total M OH | 521007 | ||||||||||
Allocation: | B300 | T500 | ||||||||||||
Machining | 123437 | 86310 | (Activity Driver* Rate) | |||||||||||
Setups | 32760 | 117600 | (Activity Driver* Rate) | |||||||||||
Product Sustaining | 50300 | 50300 | (Activity Driver* Rate) | |||||||||||
Total M OH | 206497 | 254210 | ||||||||||||
Units | 60200 | 12500 | ||||||||||||
B300 | T500 | Manufacturing OH | 3.43 | 20.34 | ||||||||||
60200 | 12500 | |||||||||||||
3 | ||||||||||||||
B300 | T500 | Total | ||||||||||||
Traditional Cost System | Amount | % | Amount | % | Amount | |||||||||
Direct Material | 4,00,700 | 44.2% | 1,62,200 | 47.4% | 5,62,900 | |||||||||
Direct Labor | 1,20,900 | 13.3% | 43,000 | 12.6% | 1,63,900 | |||||||||
Manufacturing OH | 3,84,318 | 42.4% | 1,36,689 | 40.0% | 5,21,007 | |||||||||
Total Cost assigned to products | 9,05,918 | 100.0% | 3,41,889 | 100.0% | 12,47,807 | |||||||||
Activity Based Costing | Amount | % | Amount | % | Amount | |||||||||
Direct Costs: | ||||||||||||||
Direct Material | 4,00,700 | 55.0% | 1,62,200 | 35.3% | 5,62,900 | |||||||||
Direct Labor | 1,20,900 | 16.6% | 43,000 | 9.4% | 1,63,900 | |||||||||
Indirect Costs: | ||||||||||||||
Machining | 1,23,437 | 17.0% | 86,310 | 18.8% | 2,09,747 | |||||||||
Setups | 32,760 | 4.5% | 1,17,600 | 25.6% | 1,50,360 | |||||||||
Product Sustaining | 50,300 | 6.9% | 50,300 | 10.9% | 1,00,600 | |||||||||
Total Cost assigned to products | 7,28,097 | 100.0% | 4,59,410 | 100.0% | 11,87,507 | |||||||||
Costs not assigned to products: | ||||||||||||||
Others | 60300 | |||||||||||||
Total Cost | 12,47,807 | |||||||||||||