Cost Allocation Using cFIFO and Equivalent Units in Production

QUESTION

  1. The sewing process used by Sunland Inc. began the year with an inventory of $3900 (Direct Materials were 100% complete). Using First-In, First-Out (FIFO), the company calculated the equivalent units of production for this year to be:
Direct Materials (DM) Conversion Costs (CC)
Units in Beginning Work-in-Progress (WIP) Inventory Completed This Period 0 33
Units Started and Completed This Period 780 780
Units in Ending WIP Inventory 160 79

Sunland has calculated the cost per equivalent unit as follows: Direct Material (DM) $86 and Conversion Costs (CC) $40. How much cost should Sunland assign to the units completed and removed from WIP Inventory in the current year?

ANSWER

Cost Allocation Using cFIFO and Equivalent Units in Production

Introduction

Cost allocation is a fundamental aspect of financial management, enabling businesses to determine the cost associated with the production of goods. In this essay, we’ll explore the concept of cost allocation using the First-In, First-Out (FIFO) method and equivalent units of production. To illustrate this, we’ll consider the case of Sunland Inc., a hypothetical company, and calculate the cost assigned to units completed and removed from their Work-in-Progress (WIP) Inventory in the current year.

Understanding the Problem

Sunland Inc. began the year with an inventory of $3,900, with Direct Materials being 100% complete. Their production process is characterized by various units at different stages of completion, and the challenge is to accurately assign costs to the units that have been completed and removed from the WIP Inventory.

Equivalent Units of Production

Equivalent units of production are a vital concept in cost allocation. They represent the number of fully completed units and the fraction of partially completed units, expressed in terms of complete units. Sunland Inc. provides the following information:

Units in Beginning WIP Inventory:

Direct Materials: 0 (100% complete)

Conversion Costs: 33 (partially complete)

Units Started and Completed This Period:

Direct Materials: 780 (100% complete)

Conversion Costs: 780 (100% complete)

Units in Ending WIP Inventory:

Direct Materials: 160 (partially complete)

Conversion Costs: 79 (partially complete)

Cost per Equivalent Unit

The company also determined the cost per equivalent unit as follows:

Direct Material (DM): $86 per equivalent unit

Conversion Costs (CC): $40 per equivalent unit

Calculating the Cost

To determine the cost assigned to units completed and removed from the WIP Inventory, we follow these steps:

Calculate the equivalent units of production for both Direct Materials and Conversion Costs for each category.

Determine the cost for each category based on the cost per equivalent unit.

Finally, calculate the total cost by adding the costs for Direct Materials and Conversion Costs.

The Result

After careful calculations, Sunland Inc. should assign a total cost of $116,520 to the units completed and removed from the WIP Inventory in the current year. This accurate cost allocation is crucial for the company’s financial reporting and decision-making processes.

Conclusion

Cost allocation using the FIFO method and equivalent units of production is a sophisticated process that assists businesses in determining the cost associated with production. In this example, we demonstrated how Sunland Inc. can calculate the cost assigned to units completed and removed from the WIP Inventory. This knowledge is vital for effective financial management and contributes to sound decision-making within an organization.

By optimizing the use of relevant keywords and providing a comprehensive explanation of the topic, this essay aims to help readers better understand cost allocation and its practical application in real-world scenarios.

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