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 | $ | 1,704,000 | |
| Cost of goods sold | 1,218,840 | ||
| Gross margin | 485,160 | ||
| Selling and administrative expenses | 560,000 | ||
| Net operating loss | $ | (74,840 | ) | 
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 $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 | $ | 162,500 | $ | 563,300 | 
| Direct labor | $ | 120,800 | $ | 42,300 | 163,100 | |
| Manufacturing overhead | 492,440 | |||||
| Cost of goods sold | $ | 1,218,840 | ||||
The company has created an activity-based costing system to evaluate the profitability of its products. Hi-Tek’s ABC implementation team concluded that $57,000 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) | $ | 201,960 | 90,900 | 62,100 | 153,000 | |
| Setups (setup hours) | 128,480 | 72 | 220 | 292 | ||
| Product-sustaining (number of products) | 101,400 | 1 | 1 | 2 | ||
| Other (organization-sustaining costs) | 60,600 | NA | NA | NA | ||
| Total manufacturing overhead cost | $ | 492,440 | ||||
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) | predetermined overhead rate | ||||||||
| total estimated manufacturing overhead/total estimated direct labor dollars | |||||||||
| 492440/163100 | |||||||||
| 3.019252 | |||||||||
| product margin using traditional appraoch | |||||||||
| B300 | T500 | total | |||||||
| sales | 1204000 | 500000 | 1704000 | ||||||
| less:Expenses | |||||||||
| direct materials | 400800 | 162500 | 563300 | ||||||
| direct labor | 120800 | 42300 | 163100 | ||||||
| manufacturing OH applied @3.02 | 364726 | 127714 | 492440 | ||||||
| total manufacturing cost | 886326 | 332514 | 1218840 | ||||||
| product margin | 317674 | 167486 | 485160 | answer | |||||
| 2) | ABC activity based | ||||||||
| Activity rates | |||||||||
| (a) | (b) | c=a/b | |||||||
| Activity cost pools | total cost | total | Activity rate | ||||||
| activity | |||||||||
| machining | 201,960 | 153,000 | 1.32 | per machine hour | |||||
| Setups | 128,480 | 292 | 440 | per setup hour | |||||
| product sustaining | 101,400 | 2 | 50700 | per product | |||||
| product margin under ABC accounting | |||||||||
| B300 | T500 | total | |||||||
| sales | 1204000 | 500000 | 1704000 | ||||||
| less:Expenses | |||||||||
| direct materials | 400800 | 162500 | 563300 | ||||||
| direct labor | 120800 | 42300 | 163100 | ||||||
| Advertising expense | 57,000 | 102,000 | 159000 | ||||||
| manufacturing overhead assigned | |||||||||
| machining | 119988 | 81972 | 201960 | ||||||
| Setups | 31680 | 96800 | 128480 | ||||||
| product sustaining | 50700 | 50700 | 101400 | ||||||
| total cost | 780,968 | 536,272 | 1317240 | ||||||
| product margin | 423032 | -36272 | 386760 | ||||||
| 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% | 162500 | 28.8% | 563300 | ||||
| direct labor | 120800 | 74.1% | 42300 | 25.9% | 163100 | ||||
| manufacturing overhead | 364726 | 74.1% | 127714 | 25.9% | 492440 | ||||
| total cost assigned to products | 1218840 | ||||||||
| selling & administrative cost | 560,000 | ||||||||
| total cost. | 1778840 | ||||||||
| 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% | 162500 | 28.8% | 563300 | ||||
| direct labor | 120800 | 74.1% | 42300 | 25.9% | 163100 | ||||
| Advertising expense | 57,000 | 35.8% | 102,000 | 64.2% | 159000 | ||||
| Indirect costs: | |||||||||
| machining | 119988 | 59.4% | 81972 | 40.6% | 201960 | ||||
| Setups | 31680 | 24.7% | 96800 | 75.3% | 128480 | ||||
| product sustaining | 50700 | 50.0% | 50700 | 50.0% | 101400 | ||||
| total cost assigned to products | 780968 | 536272 | 1317240 | ||||||
| cost not assigned to products | |||||||||
| Selling & administrative expense | 401,000 | ||||||||
| other | 60,600 | ||||||||
| total cost. | 1778840 | ||||||||