Trio company reports the following information for the current year, which is its first year of operation

Direct materials15$ per unit

Direct labor16$ per unit

Overhead costs for the year

Variable overhead80,000 per year

Fixed overhead 160,000 per year

Units produced this year20,000 units

Units sold this year14,000 units

Ending finished goods6,000 units

1. Compute the cost per unit using absorption costing and then using variable costing

2. determine the cost of ending finished goods inventory using absorption costing and then using variable costing

3. determine the cost of goods sold using variable costing and then using variable costing

Explanation:

1. The computation of cost per unit using a absorption costing

Fixed cost

= Fixed manufacturing overhead ÷ Units produced

= $160,000 ÷ 20,000

= $8

Variable costs

Direct material per unit $15

Direct labor per unit $16

Variable manufacturing overhead per unit

= Variable overhead ÷ Units produced

= (80,000 ÷ 20,000)

= $4

Total Variable cost per unit

= $15 + $16 + $4

= $35

Total cost per unit

= $8 + $35

= $43

The computation of cost per unit using a variable costing

Direct material per unit $15

Direct labor per unit $16

Variable manufacturing overhead per unit $4

= $15 + $16 + $4

= $35

2. The computation of ending finished goods inventory using absorption costing

Number of finished goods in units 6,000

Cost of goods in ending inventory

= 6000 × $43

= $258,000

The computation of ending finished goods inventory using variable costing

= Number of finished goods in units 6,000

Cost of goods in ending inventory

= 6,000 × $35

= $210,000

3. The computation of the cost of goods sold using absorption costing

Number of units in sold goods 14,000

Cost of goods sold

= 14,000 × $43

= $602,000

The computation of the cost of goods sold using variable costing

Number of units in sold goods 14,000

Cost of goods sold

= 14,000 × $35

= $490,000