In: Accounting
Cullumber Corporation acquired two inventory items at a lump-sum cost of $85000. The acquisition included 2670 units of product CF, and 5340 units of product 3B. CF normally sells for $30 per unit, and 3B for $10 per unit. If Cullumber sells 890 units of CF, what amount of gross profit should it recognize?
Lumpsum Cost of acquiring CF and 3B = $85,000
Appropriate basis of apportionment of cost between the inventories is sales value.
Sale Value of CF
= Units Produced * Selling price per unit
= 2670 * $30
= $80,100
Sale Value of 3B
= Units Produced * Selling price per unit
= 5340 * $10
= $53,400
Total Sales Value
= Sale Value of CF + Sale Value of 3B
= $80,100 + $53,400
= $133,500
Apportionment of lumpsum cost between CF and 3B based on Sale Value:
Apportioned Cost to CF
= Lumpsum Cost * Sale Value of CF / Total Sale Value
= $85,000 * $80,100 / $133,500
= $51,000
Apportioned Cost to 3B
= Lumpsum Cost * Sale Value of CF / Total Sale Value
= $85,000 * $53,400 / $133,500
= $34,000
Unit Cost of CF
= Apportioned Cost/ Units Produced
= $51,000 / 2670
= $19.1011236
Selling Price per unit of CF = $30
Gross Profit per unit of CF
= Selling Price - Cost
= $30 - $19.1011236
= $10.8988764
Total Gross profit from CF to be recognized
= Gross Profit per unit * Units Sold
= $10.8988764 * 890
= $9,700
Gross Profit to be recognised if 890 units of CF are sold = $9,700