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The following units of an inventory item were available for sale during the year: Beginning inventory 11 units at $51 First purchase 15 units at $53 Second purchase 21 units at $55 Third purchase 17 units at $57 The firm uses the periodic inventory system. During the year, 21 units of the item were sold. The value of ending inventory rounded to the nearest dollar using average cost is

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Answer:

$2,338

Explanation:

For computing the ending inventory, first we have to determine the average cost per unit, then ending inventory units which are shown below:

= (Beginning inventory units × price per unit +  first purchase inventory units × price per unit + second purchase inventory units × price per unit + third purchase inventory units × price per unit) ÷ (Beginning inventory units + one purchase inventory units + second purchase inventory units + third purchase inventory units)

= (11 units × $51 + 15 units × $53 + 21 units × $55 + 17 units × $57) ÷ (11 units + 15 units + 21 units + 17 units)

= ($561 + $795 + $1,155 + $969 ) ÷ (64 units)

= ($3,480) ÷ (64 units)

= $54.375 per unit

Now the ending inventory units would be

= Available units for sale - sale units

= 64 units - 21 units

= 43 units

Now the ending inventory would be

= Ending inventory units × average cost per unit

= 43 units × $54.375 per unit

= $2,338

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