Final answer:
The cost of goods sold per unit when using absorption costing is $105.73.
Step-by-step explanation:
First, let's calculate the total manufacturing cost per unit. The variable manufacturing cost is $140 per unit, and the fixed manufacturing costs are $105,000 per month. The total manufacturing cost per unit is the sum of the variable and fixed manufacturing costs, which is $140 + ($105,000/3,200) = $140 + $32.81 = $172.81 per unit.
Next, let's calculate the total cost per unit. The total cost per unit is the sum of the total manufacturing cost per unit and the fixed administrative expenses per unit. The fixed administrative expenses are $27,000 per month, so the total cost per unit is $172.81 + ($27,000/3,200) = $172.81 + $8.44 = $181.25 per unit.
Finally, let's calculate the cost of goods sold per unit using absorption costing. The cost of goods sold per unit is the total cost per unit minus the ending inventory per unit. The ending inventory of finished goods is 800 units. Therefore, the cost of goods sold per unit is $181.25 - ($181.25/2,400) = $181.25 - $75.52 = $105.73 per unit.