Final answer:
To determine the cost of the 500 units in process at the end of the period using the FIFO method, add the cost of direct materials, direct labor, and factory overhead. Then subtract the cost of units added during the period and the cost of units in process at the beginning of the period to determine the cost of units completed during the period. Finally, solve for the cost of units in process at the end of the period.
Step-by-step explanation:
To determine the cost of the 500 units in process at the end of the period using the first-in, first-out (FIFO) method, we need to calculate the total cost of the units added during the period and the units completed during the period.
First, calculate the cost of the units added during the period: Direct materials cost + Direct labor cost + Factory overhead cost = $8,200 + $28,700 + $4,510 = $41,410.
Next, calculate the cost of the units completed during the period: Cost of units in work in process at the beginning of the period - Cost of units added during the period + Cost of units in process at the end of the period = $7,000 - $41,410 + Cost of units in process at the end of the period
Solving for the Cost of units in process at the end of the period, we get $5,175.