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Perpetual Inventory System and Inventory Costing Methods The inventory of Wood4F

ID: 2499246 • Letter: P

Question

Perpetual Inventory System and Inventory Costing Methods

The inventory of Wood4Fun and data on purchases and sales for a two-month period follow. The company closes its books at the end of each month. It uses the perpetual inventory system.

In preparing the solutions, it is helpful to determine the balance of inventory after each transaction, as shown in the Business Insight: Concepts and Applications feature in this chapter.

Determine the cost of ending inventory and cost of goods sold for April and May using the average-cost method. Round unit costs to two decimal places and round the final answers to the nearest dollar. Enter all amounts as positive numbers.

1. Determine Cost of Ending Inventory for April and May using the LIFO Method

Apr. 1 Beginning inventory   50 units @ $204 10 Purchase 100 units @ $220 17 Sale   90 units 30 Ending inventory   60 units May 2 Purchase 100 units @ $216 14 Purchase   50 units @ $224 22 Purchase   60 units @ $234 30 Sale 200 units 31 Ending inventory   70 units

Explanation / Answer

April               (average-cost method)

Purchases

Sales

Balance

Date

Units

Unit Cost

Total

Units

Unit Cost

Total

Units

Unit Cost

Total

Apr. 1

50

4.08

204

10

100

2.2

220

150

2.83

424

17

90

2.83

254.4

60

2.83

169.6

30

60

2.83

169.6

April:

Cost of Goods sold =90 x 2.83=$254

Closing Inventory=60 x 28.83=$ 170

MAY           (average-cost method)

Purchases

Sales

Balance

Date

Units

Unit Cost

Total

Units

Unit Cost

Total

Units

Unit Cost

Total

60

2.826667

169.6

May. 2

100

2.16

216

160

2.41

385.6

14

50

4.48

224

210

2.902857

609.6

22

60

3.9

234

270

3.124444

843.6

30

200

3.12

624.89

70

3.124444

218.71

31

70

3.12

219

May:

Cost of Goods sold =200 x 3.12=$625

Closing Inventory=70 x 3.12=$ 219

April               (LIFO)

Purchases

Sales

Balance

Date

Units

Unit Cost

Total

Units

Unit Cost

Total

Units

Unit Cost

Total

Apr. 1

50

4.08

204

10

100

2.2

220

150

424

17

50

4.08

204

17

40

2.2

88

60

132

30

90

60

2.2

132

April:

Cost of Goods sold =(50 x 4.08) +(40 x2.2) =$204+$88=$292

Closing Inventory=60 x 2.2=$ 132

May           (LIFO)

Purchases

Sales

Balance

Date

Units

Unit Cost

Total

Units

Unit Cost

Total

Units

Unit Cost

Total

May. 2

100

2.16

216

60

2.2

132

14

50

4.48

224

22

60

3.9

234

270

806

30

60

2.2

132

30

100

2.16

216

30

40

4.48

179.2

70

278.8

31

200

527.2

70

3.98

278.8

May:

Cost of Goods sold =(60 x 2.2)+(100 x 2.16)+(40 x 4.48)=$ 132 +$ 216 +179.2=$527

Closing Inventory=70 x 3.98=$ 279

April               (average-cost method)

Purchases

Sales

Balance

Date

Units

Unit Cost

Total

Units

Unit Cost

Total

Units

Unit Cost

Total

Apr. 1

50

4.08

204

10

100

2.2

220

150

2.83

424

17

90

2.83

254.4

60

2.83

169.6

30

60

2.83

169.6

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