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1) Consider that periodic inventory documents are upkept, calculate the COGS and

ID: 2547684 • Letter: 1

Question

1) Consider that periodic inventory documents are upkept, calculate the COGS and final inventory for May 2015 using (a) LIFO, (b) FIFO, and (c) Average Cost.

2) Consider that perpetual inventory documents are upkept, calculate the COGS and final inventory for May 2015 using (a) LIFO and (b) FIFO.

3) Consider that Chapman had used the FIFO perpetua system, calculate the gross profit for May 2015.

Purchases Sales 2,000 $10.00 1,500 10.05 600 10.50 900 11.00 1,200@ 11.00 300@ 11.10 500 $21.00 1,600 22.00 700 @ 22.00 1,800 @ 21.00 700 23.00 1 (balance on hand) 18 15 20 5,300 6,500

Explanation / Answer

1. Periodic Inventory System

(a) LIFO

Units available for sale = 2000 + 1500 + 600 + 900 + 1200 + 300 = 6500

Units sold = 500 + 1600 + 700 + 1800 + 700 = 5300

Ending Inventory = 6500 - 5300 = 1200 units

Cost of ending inventory = 1,200 units x $10 = $12,000

Cost of Goods Sold = Total cost - cost of ending inventory

   = $67,805 - $12,000 = $55,805

(b) FIFO

Cost of ending inventory = (900 units x $11) + (300 units x $11.10)

= $9,900 + $3,330 = $13,230

Cost of goods sold = $67,805 - $13,230 = $54,575

(c) Average Cost

Average cost per unit = $67,805 / 6,500 = $10.43

Cost of goods sold = 5,300 units x $10.43 = $55,279

2. Perpetual Inventory System

(a) LIFO

2000 x $10 = $20,000

1500 x $10.05 =$15,075

2000 x $10 = $20,000

1000 x $10.05=$10,050

2000 x $10 = $20,000

1000 x $10.05=$10,050

600 x $10.50= $6,300

600 x $10.50 = $6,300

1000 x $10.05=$10,050

1300 x $10 = $13,000

900 x $11 = $9,900

900 x $11 = $9,900

900 x $10 = $9,000

400 x $10 = $4,000

1200 x $11 = $13,200

400 x $10 = $4,000

1200 x $11 = $13,200

300 x $11.10 = $3,330

300 x $11.10=$3,330

400 x $11 = $4,400

400 x $10 = $4,000

800 x $11 = $8,800

COGS = $55,005

Final Inventory = $12,800

(b) FIFO

2000 x $10 = $20,000

1500 x $10.05 =$15,075

1500 x $10 = $15,000

1500 x $10.05=$15,075

1500 x $10 = $15,000

1500 x $10.05=$15,075

600 x $10.50= $6,300

1500 x $10 = $15,000

100 x $10.05=$10,05

1400 x $10.05 = $14,070

600 x $10.50 =$6,300

700 x $10.05 = $7,035

600 x $10.50 = $6,300

700x $10.05 = $7,035

600 x $10.50 = $6,300

900 x $11 = $9,900

700 x $10.05 = $7,035

600 x $10.50 = $6,300

500 x $11 = $5,500

400 x $11 = $4,400

1200 x $11 = $13,200

400 x $11 = $4,400

1200 x $11 = $13,200

300 x $11.10 = $3,330

400 x $11=$4,400

300 x $11 = $3,300

900 x $11 = $9,900

300 x $11.10 = $3,330

COGS = $54,575

Final Inventory = $13,200

3) Gross profit = Sales - COGS

Sales = (500 x 21) + (1600 x 22) + (700 x 22) + (1800 x 21) + (700 x 23)

   = $10,500 + $35,200 + $15,400 + $37,800 + $16,100 = $115,000

Gross Profit = $115,000 - $54,575 = $60,425

Date Units per unit cost Total Cost May 1 Balance on hand 2,000 $10 $20,000 May 2 Purchase 1,500 $10.05 $15,075 May 7 Purchase 600 $10.50 $6,300 May 15 Purchase 900 $11 $9,900 May 20 Purchase 1,200 $11 $13,200 May 27 Purchase 300 $11.10 $3,330 Total 6,500 $67,805