The following lots of a particular commodity were available for sale during the year: beginning inventory 10 units at $60first purchase 25 units at $65second purchase 30 units at $68third purchase 15 units at $75the firm uses the periodic system and there are 25 units of the commodity on hand at the end of the year. what is the amount of the inventory at the end of the year using the average cost method? $1,685$1,575$1,805$3,705

$1,685

Explanation:

The computation of the average cost per unit is shown below:

= (Beginning inventory units × price per unit + purchase inventory units × price per unit + purchase inventory units × price per unit + purchase inventory units × price per unit ) ÷ (Beginning inventory units + purchase inventory units + purchase inventory units + purchase inventory units )

= (10 units × $60 + 25 units × $65 + 30 units × $68 + 15 units × $75) ÷ (10 units + 25 units + 30 units + 15 units)

= ($600 + $1,625 + $2,040 + $1,125   ) ÷ (80 units)

= ($5,390 units) ÷ (80 units)

= $67.375 per unit

Now the ending inventory equals to

= Ending inventory units × average cost per unit)

=  25 units × $67.375 per unit

= $1,685