Problem 23

Question

The Converting Department of Osaka Napkin Company uses the average cost method and had 2,000 units in work in process that were 60% complete at the beginning of the period. During the period, 25,200 units were completed and transferred to the Packing Department. There were 1,100 units in process that were 30% complete at the end of the period. a. Determine the number of whole units to be accounted for and to be assigned costs for the period. b. Determine the number of equivalent units of production for the period.

Step-by-Step Solution

Verified
Answer
a. 26,300 units b. Direct materials: 26,300 equivalent units; Conversion costs: 25,530 equivalent units.
1Step 1: Identify Units Started and Completed
First, calculate the number of units that were started and completed during this period. This can be found by subtracting the beginning work-in-process units from the units completed and transferred. Units started and completed = Units completed and transferred - Units in beginning inventory = 25,200 - 2,000 = 23,200 units.
2Step 2: Calculate Total Units to Account For
To find the total units to account for in the period, add the beginning inventory units to the units started and completed, and the ending inventory units. Total units to account for = Units completed and transferred + Ending inventory = 25,200 + 1,100 = 26,300 units.
3Step 3: Compute Equivalent Units for Direct Materials
Since the problem focuses on the average cost method, equivalent units for direct materials will consider the degree of completion. For simplicity, we assume materials are added at the start. Equivalent units for direct materials = Units completed and transferred + Ending inventory = 25,200 + 1,100 = 26,300 equivalent units.
4Step 4: Compute Equivalent Units for Conversion Costs
Equivalent units for conversion costs factor in how complete the work is on those units. - Completed and transferred units are 100% complete. - Ending inventory needs to account for its percentage completion. Equivalent units for conversion costs = Units completed and transferred + (Ending inventory * % complete) = 25,200 + (1,100 * 30%) = 25,200 + 330 = 25,530 equivalent units.

Key Concepts

Equivalent Units of ProductionWork in Process InventoryConversion CostsDirect Materials
Equivalent Units of Production
When dealing with manufacturing processes, tracking how many units are fully complete can be tricky when some units are only partially finished. This is where the concept of "equivalent units of production" becomes crucial. It helps companies measure and assess the extent of work done during a period, by converting partially completed units into the equivalent amount of fully completed units.
Imagine you're baking cookies, and you have 100 dough pieces where each is half baked. Rather than saying you have 100 cookies, it's more accurate to say you have the equivalent of 50 fully baked cookies. This makes understanding production progress easier and more accurate.
In practice, each part of the production process might have different completion levels, especially when considering materials added at the beginning and labor portions across the process. Therefore, calculating the equivalent units often involves separating materials and conversion costs to get a clearer view of the production process.
Work in Process Inventory
Work in process (WIP) inventory is essentially the collection of products that are in various stages of completion in the production process. They have moved beyond the raw materials stage but aren't quite finished goods ready for sale.
Imagine a factory floor bustling with activity where some products are just starting their journey, while others are about to be packaged. This mix of production stages constitutes work in process inventory. For the Osaka Napkin Company, the beginning of the period had 2,000 units at 60% completion. Thus, only 40% work was left to finish these items.
Tracking WIP is important because it ties up resources and reflects current production efficiency. It can help manufacturers address bottlenecks and balance workloads, ensuring smoother operations.
Conversion Costs
Conversion costs are all the manufacturing expenses that are not direct materials. These include direct labor and overhead, which are necessary for transforming raw materials into finished goods.
  • Direct labor covers wages for workers assembling the products.
  • Overhead encompasses utilities, maintenance, and other indirect production costs.

Conversion costs are crucial as they provide insight into the efficiency and cost-effectiveness of the production process. For example, if labor costs are high, it might prompt a review of workforce needs or the introduction of more automation.
Understanding conversion costs helps businesses develop accurate financial forecasts and streamline cost management practices.
Direct Materials
Direct materials are the raw materials that are used directly in the manufacturing of a product and are integral to the finished product. They are often added at the beginning of the production process.
Think of direct materials as the flour in a batch of cookies or the fabric in a shirt. They are easily traceable to each product made within a company.
In the average cost method, understanding when and how these materials are incorporated into production is key to calculating equivalent units. Companies need to know exactly how much of these materials is being used to ensure cost controls and efficiency within the production process.