In: Accounting
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 |
|||
| Sales | $ | 1,653,500 | |
| Cost of goods sold | 1,228,144 | ||
| Gross margin | 425,356 | ||
| Selling and administrative expenses | 640,000 | ||
| Net operating loss | $ | (214,644 | ) |
Hi-Tek produced and sold 60,500 units of B300 at a price of $19 per unit and 12,600 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 | $ | 400,400 | $ | 162,400 | $ | 562,800 |
| Direct labor | $ | 120,900 | $ | 42,800 | 163,700 | |
| Manufacturing overhead | 501,644 | |||||
| Cost of goods sold | $ | 1,228,144 | ||||
The company has created an activity-based costing system to evaluate the profitability of its products. Hi-Tek’s ABC implementation team concluded that $55,000 and $103,000 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) | $ | 207,944 | 90,300 | 62,600 | 152,900 | |
| Setups (setup hours) | 132,300 | 75 | 240 | 315 | ||
| Product-sustaining (number of products) | 101,400 | 1 | 1 | 2 | ||
| Other (organization-sustaining costs) | 60,000 | NA | NA | NA | ||
| Total manufacturing overhead cost | $ | 501,644 | ||||
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.
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| Part 1 | |||||||
| B300 | T500 | Total | |||||
| Sales | $1,149,500 | $ 504,000 | $ 1,653,500 | ||||
| Less: Cost of Goods Sold | |||||||
| Direct Material | $ 400,400 | $ 162,400 | $ 562,800 | ||||
| Direct Labor | $ 120,900 | $ 42,800 | $ 163,700 | ||||
| Manufacturing Overhead | $501,644/$163,700*Direct Labor Cost | $ 370,487 | $ -891,787 | $ 131,157 | $ -336,357 | $ 501,644 | $-1,228,144 |
| Product Margin | $ 257,713 | $ 167,643 | $ 425,356 | ||||
| Less: Traceable Expense | |||||||
| Selling and Admin | $ -55,000 | $ -103,000 | $ -158,000 | ||||
| Net Product Margin | $ 202,713 | $ 64,643 | $ 267,356 | ||||
| Part 2 | |||||||
| B300 | T500 | Total | |||||
| Sales | $1,149,500 | $ 504,000 | $ 1,653,500 | ||||
| Less: Cost of Goods Sold | |||||||
| Direct Material | $ 400,400 | $ 162,400 | $ 562,800 | ||||
| Direct Labor | $ 120,900 | $ 42,800 | $ 163,700 | ||||
| Manufacturing Overhead | |||||||
| Machining (machine-hours) | $ 122,808 | $ 85,136 | $ 207,944 | ||||
| Setups (setup hours) | $ 31,500 | $ 100,800 | $ 132,300 | ||||
| Product-sustaining (number of products) | $ 50,700 | $ -726,308 | $ 50,700 | $ -441,836 | $ 101,400 | $-1,168,144 | |
| Product Margin | $ 423,192 | $ 62,164 | $ 485,356 | ||||
| Less: Traceable Expense | |||||||
| Selling and Admin | $ -55,000 | $ -103,000 | $ -158,000 | ||||
| Net Product Margin | $ 368,192 | $ -40,836 | $ 327,356 | ||||
| A | B | C | B+C=D | A/D=E | E*B | E*C | |
| Activity Cost Pool (and Activity Measure) | Amount | B300 | T500 | Total | Activity Rate | B300 | T500 |
| Machining (machine-hours) | $ 207,944 | 90,300 | 62,600 | 152,900 | $ 1.36 | $ 122,808 | $ 85,136 |
| Setups (setup hours) | $ 132,300 | 75 | 240 | 315 | $ 420.00 | $ 31,500 | $ 100,800 |
| Product-sustaining (number of products) | $ 101,400 | 1 | 1 | 2 | $ 50,700.00 | $ 50,700 | $ 50,700 |
| Other (organization-sustaining costs) | $ 60,000 | ||||||
| Total manufacturing overhead cost | $ 501,644 | $ 205,008 | $ 236,636 | ||||
| Part 3 | |||||||
| Traditional | B300 | T500 | Total | ||||
| Amount | Percentage | Amount | Percentage | ||||
| Direct Material | $ 400,400 | 71.14% | $ 162,400 | 28.86% | $ 562,800 | ||
| Direct Labor | $ 120,900 | 73.85% | $ 42,800 | 26.15% | $ 163,700 | ||
| Manufacturing Overhead | $ 370,487 | 73.85% | $ 131,157 | 26.15% | $ 501,644 | ||
| Total Cost Assigned to Product | $ 891,787 | 72.61% | $ 336,357 | 27.39% | $1,228,144 | ||
| Selling and Admin | $ 55,000 | 34.81% | $ 103,000 | 65.19% | $ 158,000 | ||
| Total Cost | $ 946,787 | 68.30% | $ 439,357 | 31.70% | $1,386,144 | ||
| Activity | B300 | T500 | Total | ||||
| Amount | Percentage | Amount | Percentage | ||||
| Direct Material | $ 400,400 | 71.14% | $ 162,400 | 28.86% | $ 562,800 | ||
| Direct Labor | $ 120,900 | 73.85% | $ 42,800 | 26.15% | $ 163,700 | ||
| Machining (machine-hours) | $ 122,808 | 59.06% | $ 85,136 | 40.94% | $ 207,944 | ||
| Setups (setup hours) | $ 31,500 | 23.81% | $ 100,800 | 76.19% | $ 132,300 | ||
| Product-sustaining (number of products) | $ 50,700 | 50.00% | $ 50,700 | 50.00% | $ 101,400 | ||
| Total Cost Assigned to Product | $ 726,308 | 62.18% | $ 441,836 | 37.82% | $1,168,144 | ||
| Selling and Admin | $ 55,000 | 34.81% | $ 103,000 | 65.19% | $ 158,000 | ||
| Total Cost | $ 781,308 | 58.92% | $ 544,836 | 41.08% | $1,326,144 | ||