To compute the output in terms of Afteryou's equivalent units using the Weighted Average method of process costing, we will need to follow several steps:

Step 1: Calculate the Equivalent Units of Production (EUP)

For this, we calculate the equivalent units for both direct materials and conversion costs. The Weighted Average method takes into account both the units started and completed during the period and the percentage completion of ending work-in-process inventory.

Information available:

1. Work in Process, beginning inventory = 70,000 units (100% complete for materials, 35% complete for conversion)
2. Units started during October = 150,000 units
3. Work in Process, ending inventory = 50,000 units (100% complete for materials, 50% complete for conversion)
4. Completed and Transferred Out = This is what we will calculate as part of equivalent units.

Step 2: Calculate Equivalent Units for Direct Materials

• All units in beginning and ending WIP inventories are 100% complete for materials.
• The formula for total equivalent units for materials is:

$\text{EUP (Materials)} = (\text{Units Completed and Transferred Out}) + (\text{Ending WIP units} \times \text{percentage complete for materials})$

First, find the units Completed and Transferred Out: $\text{Units Completed and Transferred Out} = (\text{Beginning WIP units}) + (\text{Units started}) - (\text{Ending WIP units})$ $\text{Units Completed and Transferred Out} = (70,000) + (150,000) - (50,000) = 170,000 \, \text{units}$

Now, calculate the total Equivalent Units for Direct Materials: $\text{EUP (Materials)} = (170,000) + (50,000 \times 100\%) = 170,000 + 50,000 = 220,000 \, \text{units}$

Step 3: Calculate Equivalent Units for Conversion Costs

Conversion costs are only partially complete for the beginning and ending inventory, so we need to account for the percentage completion.

$\text{EUP (Conversion)} = (\text{Units Completed and Transferred Out}) + (\text{Ending WIP units} \times \text{percentage complete for conversion})$

$\text{EUP (Conversion)} = 170,000 + (50,000 \times 50\%) = 170,000 + 25,000 = 195,000 \, \text{units}$

Final Answer:

• Equivalent Units for Direct Materials = 220,000 units
• Equivalent Units for Conversion Costs = 195,000 units

Would you like more details on this? Feel free to ask!

Here are some related questions that might help expand your understanding:

1. How are equivalent units for partially completed products calculated under different methods?
2. What is the key difference between the weighted average and FIFO methods in process costing?
3. How does the percentage of completion impact the cost allocation in process costing?
4. Why are beginning and ending inventories handled differently in calculating equivalent units?
5. What is the role of conversion costs in manufacturing process costing?

Tip: Remember that understanding the concept of equivalent units helps in accurately calculating the cost per unit when products are partially complete at the end of a period.