Final answer:
The direct labor cost is calculated as 40% of the total conversion cost. Since the manufacturing overhead cost was provided as $60,000, which is 60% of the conversion cost, the total conversion cost is determined first and then 40% of it is calculated to find the direct labor cost to be $40,000.
Step-by-step explanation:
To find the direct labor cost, we first need to understand that conversion costs are made up of direct labor and manufacturing overhead. Since direct labor is 40% of conversion cost, manufacturing overhead is the remaining 60%. Given that the manufacturing overhead cost for the last period was $60,000, we can set up the following equation to solve for the total conversion cost:
Conversion Cost = Direct Labor + Manufacturing Overhead
To find the direct labor cost, we set up the equation as follows:
0.6 * Conversion Cost = $60,000 (Manufacturing Overhead)
Conversion Cost = $60,000 / 0.6 = $100,000
Now, since Direct Labor is 40% of Conversion Cost:
Direct Labor = 0.4 * Conversion Cost
Direct Labor = 0.4 * $100,000 = $40,000
Therefore, the direct labor cost was $40,000.