Inventory by Three Methods The units of an item available for sale during the year were as follows: Jan. 1 Inventory 26 units at $400 per unit Feb. 19 Purchase 57 units at $460 per unit June 8 Purchase 62 units at $540 per unit Oct. 7 Purchase 60 units at $550 per unit There are 48 units of the item in the physical inventory at December 31. The periodic inventory system is used. Determine the inventory cost under each of the following methods. a. Determine the inventory cost by the first-in, first-out method. $ 28,187 b. Determine the inventory cost by the last-in, first-out method. $ c. Determine the inventory cost by the average cost method. Do not round intermediate calculation and round final answer to the nearest whole value.

a. $26,400

b. $20,520

c. $24,140.64

Explanation:

a. The computation of inventory cost by the first-in, first-out method is shown below:-

Inventory cost under first-in, first-out method = Number of units * Unit cost of 3rd purchase

= 48 * $550

= $26,400

b. The computation of inventory cost by the last-in, first-out method is shown below:-

Inventory cost by Last in first out method = (Jan 1 units * Jan 1 Inventory per unit) + (Number of units - Jan 1 units) * Feb. 19 Inventory per unit

= (26 * $400) + (48 - 26) * $460

= $10,400 + $10,120

= $20,520

c. The computation of inventory cost by the average cost method is shown below:-

Average cost per unit = (26 * $400) + (57 * $460) + (62 * $540) + (60 * $550)

= $10,400 + $26,220 + $33,480 + $33,000

= $103,100

Per unit cost = Inventory cost : Total number of units

= $103,100 : (26 + 57 + 62 + 60)

= $103,100 : 205

= $502.93

Inventory cost under average cost method = Per unit cost * Number of units

= 48 * $502.93

= $24,140.64

Therefore we have applied the formulas.