To determine the cost of units in the ending inventory using the weighted-average method, follow these steps:

Step 1: Calculate Equivalent Units

Since all materials are added at the beginning of the process, the equivalent units for materials in ending work in process (WIP) is 100% of the 3,788 units. However, the conversion is only 61% complete.

• Materials equivalent units: $3,788 \text{ units} \times 100\% = 3,788 \text{ equivalent units for materials}.$

• Conversion equivalent units: $3,788 \text{ units} \times 61\% = 2,310.68 \text{ equivalent units for conversion}.$

Step 2: Calculate Cost Per Equivalent Unit

Given that:

• Cost per unit for materials is $8.
• Cost per unit for conversion is $3.

The total cost per unit will be broken down separately for materials and conversion.

Step 3: Calculate Total Costs for Ending Inventory

Now, calculate the cost for materials and conversion in the ending inventory separately.

1. Cost for materials: $3,788 \text{ equivalent units} \times 8 \, (\text{\$ per unit for materials}) = 30,304.00$

2. Cost for conversion: $2,310.68 \text{ equivalent units} \times 3 \, (\text{\$ per unit for conversion}) = 6,932.04$

Step 4: Calculate Total Cost of Ending Inventory

Now, sum the total costs for materials and conversion: $30,304.00 + 6,932.04 = 37,236.04$

Final Answer:

The total cost of units in ending inventory is $37,236.04.

Would you like further clarification on this solution or any specific details?

Here are five related questions for further exploration:

1. How does the weighted-average method differ from the FIFO method in inventory costing?
2. How would the ending inventory cost change if the conversion completion percentage was higher?
3. What are equivalent units, and why are they important in process costing?
4. If the company had additional production costs, how would those affect the cost per equivalent unit?
5. How would you adjust the calculations if materials were added throughout the process rather than at the beginning?

Tip: In process costing, tracking the percentage of completion for conversion is crucial since it directly affects the cost allocation for unfinished products.