Timing Technology Inc. manufactures timing devices. During 20x1, 900,000 Units were completed and transferred to finished-goods inventory. On December 31, 20x1 there were 300,000 units in work in process. These units were 50 percent complete as to conversion and 100 percent complete as to direct material. Finished-goods inventory consisted of 200.000 units. Materials are added to production at the beginning of the manufacturing process, and overhead is applied to each product at the rate of 60 percent of direct-labor costs. There was no finished-goods inventory on January 1. 20x1. a review of the inventory cost records disclosed the following information:
.:.
Required:
Prepare schedules as of December 31, 20x1. to compute the following:
1. Physical flow of units.
2. Equivalent units of production using the weighted-average method,
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3. Costs per equivalent unit for material and conversion.
4. Cost of the December 31, 20x1, finished-goods inventory and work-in-process inventory.
SOLUTION:
| 1. | 1. | Physical flow of units: | Physical flow of units: | Physical flow of units: | Physical flow of units: | |||||
|---|---|---|---|---|---|---|---|---|---|---|
| Physical Units | Physical Units | Physical Units | ||||||||
| Work in process, 1/1/x1 | Work in process, 1/1/x1 | Work in process, 1/1/x1 | Work in process, 1/1/x1 | 200,000 | 200,000 | 200,000 | ||||
| Units started during 20x1 | Units started during 20x1 | Units started during 20x1 | Units started during 20x1 | 1,000,000 | 1,000,000 | 1,000,000 | ||||
| Total units to account for | Total units to account for | Total units to account for | Total units to account for | 1,200,000 | 1,200,000 | 1,200,000 | ||||
| Units completed and transferred out during 20x1 | Units completed and transferred out during 20x1 | Units completed and transferred out during 20x1 | Units completed and transferred out during 20x1 | 900,000 | 900,000 | 900,000 | ||||
| Work in process, 12/31/x1 | Work in process, 12/31/x1 | Work in process, 12/31/x1 | Work in process, 12/31/x1 | 300,000 | 300,000 | 300,000 | ||||
| Total units accounted for | Total units accounted for | Total units accounted for | Total units accounted for | 1,200,000 | 1,200,000 | 1,200,000 | ||||
| 2. | Equivalent units: | Equivalent units: | ||||||||
| Physical Units | Percentage of Completion with Respect to Conversion | Equivalent Units | Equivalent Units | Equivalent Units | Equivalent Units | Equivalent Units | Equivalent Units | |||
| Physical Units | Percentage of Completion with Respect to Conversion | Direct Material | Direct Material | Direct Material | Conversion | Conversion | Conversion | |||
| Work in process, 1/1/x1 | Work in process, 1/1/x1 | 200,000 | 80% | |||||||
| Units started during 20x1 | Units started during 20x1 | 1,000,000 | ||||||||
| Total units to account for | Total units to account for | 1,200,000 | ||||||||
| Units completed and transferred out during 20x1 | Units completed and transferred out during 20x1 | 900,000 | 100% | 900,000 | 900,000 | 900,000 | 900,000 | 900,000 | 900,000 | |
| Work in process, 12/31/x1 | Work in process, 12/31/x1 | 300,000 | 50% | 300,000 | 300,000 | 300,000 | 150,000 | 150,000 | 150,000 | |
| Total units accounted for | Total units accounted for | 1,200,000 | ________ | ________ | ________ | ________ | ________ | ________ | ||
| Total equivalent units | Total equivalent units | 1,200,000 | 1,200,000 | 1,200,000 | 1,050,000 | 1,050,000 | 1,050,000 |
| 3. | Costs per equivalent unit: | Costs per equivalent unit: | Costs per equivalent unit: | ||||
|---|---|---|---|---|---|---|---|
| Direct Material | Conversion | Total | Total | ||||
| Work in process, 1/1/x1 | Work in process, 1/1/x1 | Work in process, 1/1/x1 | $ 200,000 | $ 504,000a | $ 704,000 | $ 704,000 | |
| Costs incurred during 20x1 | Costs incurred during 20x1 | Costs incurred during 20x1 | 1,300,000 | 3,192,000b | 4,492,000 | 4,492,000 | |
| Total costs to account for | Total costs to account for | Total costs to account for | $1,500,000 | $3,696,000 | $5,196,000 | $5,196,000 | |
| Equivalent units | Equivalent units | Equivalent units | 1,200,000 | 1,050,000 | |||
| Costs per equivalent unit | Costs per equivalent unit | Costs per equivalent unit | $1.25c | $3.52d | $4.77e | $4.77e | |
| aConversion cost | = | direct labor + overhead | direct labor + overhead | direct labor + overhead | direct labor + overhead | ||
| = | direct labor + (60% x direct labor) | direct labor + (60% x direct labor) | direct labor + (60% x direct labor) | direct labor + (60% x direct labor) | |||
| = | 160% x direct labor | 160% x direct labor | 160% x direct labor | 160% x direct labor | |||
| = | 160% x $315,000 | 160% x $315,000 | 160% x $315,000 | 160% x $315,000 | |||
| = | $504,000 | $504,000 | $504,000 | $504,000 | |||
| bConversion cost | = | 160% x direct labor | 160% x direct labor | 160% x direct labor | 160% x direct labor | ||
| = | 160% x $1,995,000 | 160% x $1,995,000 | 160% x $1,995,000 | 160% x $1,995,000 | |||
| = | $3,192,000 | $3,192,000 | $3,192,000 | $3,192,000 | |||
| c$1.25 = $1,500,000 ÷ 1,200,000 | c$1.25 = $1,500,000 ÷ 1,200,000 | c$1.25 = $1,500,000 ÷ 1,200,000 | c$1.25 = $1,500,000 ÷ 1,200,000 | c$1.25 = $1,500,000 ÷ 1,200,000 | c$1.25 = $1,500,000 ÷ 1,200,000 | ||
| d$3.52 = $3,696,000 ÷ 1,050,000 | d$3.52 = $3,696,000 ÷ 1,050,000 | d$3.52 = $3,696,000 ÷ 1,050,000 | d$3.52 = $3,696,000 ÷ 1,050,000 | d$3.52 = $3,696,000 ÷ 1,050,000 | d$3.52 = $3,696,000 ÷ 1,050,000 | ||
| e$4.77 = $1.25 + $3.52 | e$4.77 = $1.25 + $3.52 | e$4.77 = $1.25 + $3.52 | e$4.77 = $1.25 + $3.52 | e$4.77 = $1.25 + $3.52 | e$4.77 = $1.25 + $3.52 |
| 4. | Cost of ending inventories: | |||||
|---|---|---|---|---|---|---|
| Cost of goods completed and transferred out: | ||||||
| 900,000 x $4.77 | 900,000 x $4.77 | 900,000 x $4.77 | $4,293,000 | $4,293,000 | ||
| Cost remaining in 12/31/x1 work-in-process inventory: | Cost remaining in 12/31/x1 work-in-process inventory: | Cost remaining in 12/31/x1 work-in-process inventory: | Cost remaining in 12/31/x1 work-in-process inventory: | |||
| Direct material: | ||||||
| 300,000 x $1.25 | 300,000 x $1.25 | 300,000 x $1.25 | $375,000 | |||
| Conversion: | ||||||
| 150,000 x $3.52 | 150,000 x $3.52 | 150,000 x $3.52 | 528,000 | |||
| Total cost of 12/31/x1 work in process | Total cost of 12/31/x1 work in process | Total cost of 12/31/x1 work in process | Total cost of 12/31/x1 work in process | $903,000 | ||
| Check: Cost of goods completed and transferred out | Check: Cost of goods completed and transferred out | Check: Cost of goods completed and transferred out | Check: Cost of goods completed and transferred out | $4,293,000 | $4,293,000 | |
| Cost of 12/31/x1 work-in-process inventory | Cost of 12/31/x1 work-in-process inventory | Cost of 12/31/x1 work-in-process inventory | Cost of 12/31/x1 work-in-process inventory | 903,000 | 903,000 | |
| Total costs accounted for | Total costs accounted for | Total costs accounted for | Total costs accounted for | $5,196,000 | $5,196,000 | |
| The cost of the ending work-in-process inventory is $903,000 | The cost of the ending work-in-process inventory is $903,000 | The cost of the ending work-in-process inventory is $903,000 | The cost of the ending work-in-process inventory is $903,000 | |||
| Ending finished-goods inventory: Of the 900,000 units completed during 20x1, 200,000 units remain in finished-goods inventory on December 31, 20x1. Therefore: | Ending finished-goods inventory: Of the 900,000 units completed during 20x1, 200,000 units remain in finished-goods inventory on December 31, 20x1. Therefore: | Ending finished-goods inventory: Of the 900,000 units completed during 20x1, 200,000 units remain in finished-goods inventory on December 31, 20x1. Therefore: | Ending finished-goods inventory: Of the 900,000 units completed during 20x1, 200,000 units remain in finished-goods inventory on December 31, 20x1. Therefore: | Ending finished-goods inventory: Of the 900,000 units completed during 20x1, 200,000 units remain in finished-goods inventory on December 31, 20x1. Therefore: | Ending finished-goods inventory: Of the 900,000 units completed during 20x1, 200,000 units remain in finished-goods inventory on December 31, 20x1. Therefore: | |
| $4,293,000 x (200,000 ÷ 900,000) = $954,000* | $4,293,000 x (200,000 ÷ 900,000) = $954,000* | $4,293,000 x (200,000 ÷ 900,000) = $954,000* | $4,293,000 x (200,000 ÷ 900,000) = $954,000* | $4,293,000 x (200,000 ÷ 900,000) = $954,000* | $4,293,000 x (200,000 ÷ 900,000) = $954,000* | |
| The cost of the ending finished-goods inventory is $954,000. | The cost of the ending finished-goods inventory is $954,000. | The cost of the ending finished-goods inventory is $954,000. | The cost of the ending finished-goods inventory is $954,000. | The cost of the ending finished-goods inventory is $954,000. | The cost of the ending finished-goods inventory is $954,000. | |
| *Also, $954,000 = 200,000 x $4.77 per unit | *Also, $954,000 = 200,000 x $4.77 per unit | *Also, $954,000 = 200,000 x $4.77 per unit | *Also, $954,000 = 200,000 x $4.77 per unit | *Also, $954,000 = 200,000 x $4.77 per unit | *Also, $954,000 = 200,000 x $4.77 per unit |