Case A
Manufacturing overhead applied = Direct labor cost x 80%
42,400 = 53,000 x Predetermined overhead rate
Predetermined overhead rate = 80% of direct labor cost
Total manufacturing cost = Direct materials used + Direct labor + Manufacturing overhead applied
155,750 = Direct materials used + 53,000+42,400
Direct materials used = $60,350
Total cost of work in process = Total manufacturing cost+ Work in process 1/1/20
205,300 = 155,750+Work in process 1/1/20
Work in process 1/1/20 = 205,300-155,750
= $49,550
Cost of goods manufactured = Total cost of work in process - Work in process 12/31/20
194,200 = 205,300- Work in process 12/31/20
Work in process 12/31/20 = $11,100
Case B
Manufacturing overhead applied = Direct labor cost x 80%
= 147,800 x 80%
= $118,240
Total manufacturing cost = Direct materials used + Direct labor + Manufacturing overhead applied
= 87,000+147,800+118,240
= $353,040
Total cost of work in process = Total manufacturing cost+ Work in process 1/1/20
= 353,040+22,100
= $375,140
Cost of goods manufactured = Total cost of work in process - Work in process 12/31/20
= 375,140-12,900
= $362,240
Case C
Let the direct labor cost be $K
Manufacturing overhead applied = Direct labor cost x Predetermined overhead rate
= K x 80%
= 0.8K
Direct materials+ Direct labor + Overhead applied = Total manufacturing cost
63,150+K+0.8K = 213,000
1.8K = 213,000-63,150
1.8K= 149,850
K = $83,250
Direct labor cost = $83,250
Total manufacturing cost = Direct materials used + Direct labor + Manufacturing overhead applied
213,000 = 63,150+83,250+Manufacturing overhead applied
Manufacturing overhead applied = $66,600
Total cost of work in process = Total manufacturing cost+ Work in process 1/1/20
= 213,000+18,800
= $231,800
Cost of goods manufactured = Total cost of work in process - Work in process 12/31/20
228,300 = 231,800-Work in process 12/31/20
Work in process 12/31/20 = $3,500
| Case A | Case B | Case C | |
| Direct materials used | 60,350 | 87,000 | 63,150 |
| Direct labor | 53,000 | 147,800 | 83,250 |
| Manufacturing overhead applied | 42,400 | 118,240 | 66,600 |
| Total manufacturing cost | 155,750 | 353,040 | 213,000 |
| Work in process 1/1/20 | 49,550 | 22,100 | 18,800 |
| Total cost of worn in process | 205,300 | 375,140 | 231,800 |
| Work in process 12/31/20 | 11,100 | 12,900 | 3,500 |
| Cost of goods manufactured | 194,200 | 362,240 | 228,300 |
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