In: Accounting
Problem 7-16 Comparing Traditional and Activity-Based Product Margins [LO7-1, LO7-3, LO7-4, LO7-5]
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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 below: |
| Hi-Tek Manufacturing Inc. Income Statement |
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| Sales | $ | 1,649,900 |
| Cost of goods sold | 1,209,425 | |
| Gross margin | 440,475 | |
| Selling and administrative expenses | 560,000 | |
| Net operating loss | $ | (119,525) |
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Hi-Tek produced and sold 60,100 units of B300 at a price of $19 per unit and 12,700 units of T500 at a price of $40 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 | $ | 400,800 | $ | 162,400 | $ | 563,200 |
| Direct labor | $ | 121,000 | $ | 42,500 | 163,500 | |
| Manufacturing overhead | 482,725 | |||||
| Cost of goods sold | $ | 1,209,425 | ||||
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The company has created an activity-based costing system to evaluate the profitability of its products. Hi-Tek’s ABC implementation team concluded that $60,000 and $108,000 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 |
Activity |
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| Activity Cost Pool (and Activity Measure) | Overhead | B300 | T500 | Total | |
| Machining (machine-hours) | $ | 201,085 | 90,500 | 63,000 | 153,500 |
| Setups (setup hours) | 120,540 | 74 | 220 | 294 | |
| Product-sustaining (number of products) | 101,000 | 1 | 1 | 2 | |
| Other (organization-sustaining costs) | 60,100 | NA | NA | NA | |
| Total manufacturing overhead cost | $ | 482,725 | |||
| Required |
| 1. |
Compute the product margins for the B300 and T500 under the company’s traditional costing system. (Round your intermediate calculations to 2 decimal places and final answer to the nearest whole dollars.) |
| 2. |
Compute the product margins for B300 and T500 under the activity-based costing system. (Negative product margins should be indicated by a minus sign. Round your intermediate calculations to 2 decimal places.) |
| 3. |
Prepare a quantitative comparison of the traditional and activity-based cost assignments. (Round your intermediate calculations to 2 decimal places and "Percentage" answer to 1 decimal place. (i.e. .1234 should be entered as 12.3) and other answers to nearest whole dollar amounts.) |
| 1) | predetermined overhead rate | ||||||||
| total estimated manufacturing overhead/total estimated direct labor dollars | |||||||||
| 482725/163500 | |||||||||
| 2.952446 | |||||||||
| product margin using traditional appraoch | |||||||||
| B300 | T500 | total | |||||||
| sales | 1141900 | 508000 | 1649900 | ||||||
| less:Expenses | |||||||||
| direct materials | 400800 | 162400 | 563200 | ||||||
| direct labor | 121000 | 42500 | 163500 | ||||||
| manufacturing OH applied @2.95 | 357246 | 125479 | 482725 | ||||||
| total manufacturing cost | 879046 | 330379 | 1209425 | ||||||
| product margin | 262854 | 177621 | 440475 | answer | |||||
| 2) | ABC activity based | ||||||||
| Activity rates | |||||||||
| (a) | (b) | c=a/b | |||||||
| Activity cost pools | total cost | total | Activity rate | ||||||
| activity | |||||||||
| machining | 201,085 | 153,500 | 1.31 | per machine hour | |||||
| Setups | 120,540 | 294 | 410 | per setup hour | |||||
| product sustaining | 101,000 | 2 | 50500 | per product | |||||
| product margin under ABC accounting | |||||||||
| B300 | T500 | total | |||||||
| sales | 1141900 | 508000 | 1649900 | ||||||
| less:Expenses | |||||||||
| direct materials | 400800 | 162400 | 563200 | ||||||
| direct labor | 121000 | 42500 | 163500 | ||||||
| Advertising expense | 60,000 | 108,000 | 168000 | ||||||
| manufacturing overhead assigned | |||||||||
| machining | 118555 | 82530 | 201085 | ||||||
| Setups | 30340 | 90200 | 120540 | ||||||
| product sustaining | 50500 | 50500 | 101000 | ||||||
| total cost | 781,195 | 536,130 | 1317325 | ||||||
| product margin | 360705 | -28130 | 332575 | ||||||
| Traditional cost system | B 300 | T -500 | |||||||
| 3) | % of total | % of total | Total | ||||||
| amount | amount | amount | amount | amount | |||||
| Traditional cost system | |||||||||
| Direct materials | 400800 | 71.2% | 162400 | 28.8% | 563200 | ||||
| direct labor | 121000 | 74.0% | 42500 | 26.0% | 163500 | ||||
| manufacturing overhead | 357246 | 74.0% | 125479 | 26.0% | 482725 | ||||
| total cost assigned to products | 1209425 | ||||||||
| selling & administrative cost | 560,000 | ||||||||
| total cost. | 1769425 | ||||||||
| B 300 | T -500 | ||||||||
| % of total | % of total | Total | |||||||
| amount | amount | amount | amount | amount | |||||
| ABC based costing system | |||||||||
| Direct costs | |||||||||
| direct materials | 400800 | 71.2% | 162400 | 28.8% | 563200 | ||||
| direct labor | 121000 | 74.0% | 42500 | 26.0% | 163500 | ||||
| Advertising expense | 60,000 | 35.7% | 108,000 | 64.3% | 168000 | ||||
| Indirect costs: | |||||||||
| machining | 118555 | 59.0% | 82530 | 41.0% | 201085 | ||||
| Setups | 30340 | 25.2% | 90200 | 74.8% | 120540 | ||||
| product sustaining | 50500 | 50.0% | 50500 | 50.0% | 101000 | ||||
| total cost assigned to products | 781195 | 536130 | 1317325 | ||||||
| cost not assigned to products | |||||||||
| Selling & administrative expense | 392,000 | ||||||||
| other | 60,100 | ||||||||
| total cost. | 1769425 | ||||||||