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 | $ | 1,759,800 | |
| Cost of goods sold | 1,231,750 | ||
| Gross margin | 528,050 | ||
| Selling and administrative expenses | 620,000 | ||
| Net operating loss | $ | (91,950 | ) |
Hi-Tek produced and sold 60,400 units of B300 at a price of $21 per unit and 12,600 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 | $ | 400,500 | $ | 162,200 | $ | 562,700 |
| Direct labor | $ | 120,300 | $ | 42,200 | 162,500 | |
| Manufacturing overhead | 506,550 | |||||
| Cost of goods sold | $ | 1,231,750 | ||||
The company has created an activity-based costing system to evaluate the profitability of its products. Hi-Tek’s ABC implementation team concluded that $53,000 and $102,000 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) | $ | 199,550 | 90,600 | 62,900 | 153,500 | |
| Setups (setup hours) | 144,900 | 75 | 270 | 345 | ||
| Product-sustaining (number of products) | 101,800 | 1 | 1 | 2 | ||
| Other (organization-sustaining costs) | 60,300 | NA | NA | NA | ||
| Total manufacturing overhead cost | $ | 506,550 | ||||
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.
| 1)Traditional Costing Method | B300 | T500 | ||||
| Units | Cost per Unit | Total | Units | Cost per Unit | Total | |
| Sales | 60400 | $21 | $1,268,400 | 12600 | $39 | $491,400 |
| Less: | ||||||
| Direct materials | 60400 | $6.63 | $400,500 | 12600 | $12.87 | $162,200 |
| Direct labor | 60400 | $1.99 | $120,300 | 12600 | $3.35 | $42,200 |
| Manufacturing Overhead (calculated below)applied @ $3.12 per direct labor-dollar | $3.12 | $375,002.86 | $3.12 | $131,547.14 | ||
| Total Manufacturing Cost | $11.74 | $895,802.86 | $19.34 | $335,947.14 | ||
| Profit Margin | $9.26 | $372,597.14 | $19.66 | $155,452.86 | ||
| Manufacturing Overhead | ||||||
| Predetermined overhead Rate = Estimated total manufacturing overhead cost/Estimated total direct labor dollars | ||||||
| Predetermined overhead Rate = $506550/$162,500 | $3.12 | |||||
| 2)Absorbtion Costing Method | ||||||
| Activity Cost Pools | Total Cost | Total Activity | Activity Rate | |||
| Machining (machine-hours) | $199,550 | 153500 | $1.3 | |||
| Setups (setup hours) | $144,900 | 345 | $420 | |||
| Product-sustaining (number of products) | $101,800 | 2 | $50,900 | |||
| B300 | T500 | |||||
| Sales | $1,268,400 | $491,400 | ||||
| Less: | ||||||
| Direct materials | $400,500 | $162,200 | ||||
| Direct labor | $120,300 | $42,200 | ||||
| Advertising | $53,000 | $102,000 | ||||
| Machining (machine-hours) | $117,780 | $81,770 | ||||
| Setups (setup hours) | $31,500 | $113,400 | ||||
| Product-sustaining (number of products) | $50,900 | $50,900 | ||||
| Total Manufacturing Cost | $723,080 | $501,570 | ||||
| Profit Margin | $545,320 | -$10,170 | ||||
| 3) | B300 | T500 | Total | |||
| Traditional Cost System | Amount | % | Amount | % | ||
| Direct materials | $400,500 | 71.17% | $162,200 | 28.83% | $562,700 | |
| Direct labor | $120,300 | 74.03% | $42,200 | 25.97% | $162,500 | |
| Manufacturing Overhead | $375,002.86 | 74.03% | $131,547.14 | 25.97% | $506,550 | |
| Total cost assigned to products | $895,802.86 | $335,947.14 | $1,231,750 | |||
| Selling and administrative | $620,000 | |||||
| Total cost | $1,851,750 | |||||
| Absorbtion Costing System | ||||||
| Direct Costs | ||||||
| Direct materials | $400,500 | 71.17% | $162,200 | 28.83% | $562,700 | |
| Direct labor | $120,300 | 74.03% | $42,200 | 25.97% | $162,500 | |
| Advertising | $53,000 | 34.19% | $102,000 | 65.81% | $155,000 | |
| Indirect Costs | ||||||
| Machining (machine-hours) | $117,780 | 59.02% | $81,770 | 40.98% | $199,550 | |
| Setups (setup hours) | $31,500 | 21.74% | $113,400 | 78.26% | $144,900 | |
| Product-sustaining (number of products) | $50,900 | 50.00% | $50,900 | 50.00% | $101,800 | |
| Total cost assigned to products | $773,980 | $552,470 | $1,326,450 | |||
| Costs not assigned to products: | ||||||
| Selling and administrative | $465,000 | |||||
| Other | $60,300 | |||||
| Total cost | $1,851,750 |


