5 4 Explain and Compute Equivalent Units and Total Cost of Production in a Subsequent Processing Stage Principles of Accounting, Volume 2: Managerial Accounting

There are two ways to calculate this metric, known as the weighted average method or the first-in, first-out method. Calculate the equivalent units for each of the three product
costs—direct materials, direct labor, and overhead. The correct manipulation of the data will depend on the inventory method in use.

During the month of July, Rock City Percussion purchased raw material inventory of $2,000 for the packaging department. As with the shaping department, the packaging department tracks its costs and requisitions the raw material from the material storeroom. The packaging department has computed direct material costs of $2,000, direct labor costs of $13,000, and applied overhead of $9,100, for a total of $22,100 in conversion costs.

Managerial and cost accountants use the equivalent units of production to allocate production costs to units during the manufacturing process. For instance, calculating the cost of goods produced is simple if there is no beginning or ending goods in process inventory. All of the costs incurred during the period would be allocated to the goods because they were all completed. As we can see, the direct materials are calculated at 100% because direct materials costs are incurred at the beginning of the time period. Conversion costs are the direct labor and manufacturing overhead that is used during the time period, even though some of the product was not completed during the time period. Part of calculating production costs involves figuring out the total cost of production per unit.

  1. In short, if 100 units are in process but you have only expended 40% of the processing costs on them, then you are considered to have 40 equivalent units of production.
  2. As you’ve learned, all of the units transferred to the next department must be 100% complete with regard to that department’s cost, or they would not be transferred.
  3. Once the cost per EU is calculated, the costs are allocated to the goods that were partially finished and completely finished during the period.

Process costing requires partially
completed units in ending work-in-process inventory to be converted
to the equivalent completed units (called equivalent units). Equivalent units4 are calculated by
multiplying the number of physical (or actual) units on hand by the
percentage of completion of the units. If the physical units are
100 percent complete, equivalent units will be the same as the
physical units. However, if the physical units are not 100 percent
complete, the equivalent units will be less than the physical
units. In conclusion, equivalent units of production (EUP) are used in manufacturing and production processes to determine the number of finished goods produced from raw materials and work in process inventory. It is a crucial metric to determine the cost of goods sold and inventory value in a production environment.

This involves deducting the closing work-in-progress from the amount introduced in the process during the current period. In continuous processes, there is work-in-progress at the beginning and end of a period, as well as a degree of completion of closing work-in-progress. This video will provide a demonstration of cost assignment under the FIFO method.

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During a recent semester, the
student headcount in a specific department at Sierra
College was 8,190. Because a large number of students in
the department were part time, the full-time equivalent number of
students totaled 3,240. The treatment of the beginning WIP units will depend on which costing method, usually weighted average or FIFO, the business is using. For example, https://intuit-payroll.org/ during the month of July, Rock City Percussion purchased raw material inventory of $25,000 for the shaping department. Although each department tracks the direct material it uses in its own department, all material is held in the material storeroom. For example, suppose a manufacturer consistently produces fewer units than expected in a particular production stage.

Therefore, to convert the work-in-process inventory into equivalent units, it is important to keep the percentage of completion in the calculation. The concept of equivalent units is defined as the number of units that would have been produced given the total amount of manufacturing effort expended for a given period. As you examine the diagram, think of the amount
of water in the glasses as costs that the company has already
incurred. The physical units can now be represented as equivalent units for each production factor.

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Navarro started the month of June with 300,000 tons of iron ore in process in the Melting Department. The term “unit of production” refers to a tangible item that a business produces or manufactures, such as a product, part, or component. It is a measurable quantity of a good or service that arpa advanced research projects agency a company produces within a specific timeframe. For a particular manufacturing run, your total manufacturing costs are $130,000. For example, if the opening work-in-progress is 500 units, 40% complete in all respects, then the degree of work to be performed in the current period is 60%.

Calculate Equivalent Units of Production

At the end of process 1, our planners have their paper and ink ready to be printed. Let’s assume we figure the ending WIP inventory to be 35% complete as to the process. If we have 1000 units in the ending WIP inventory after process 1, this would equal 350, using the formula for equivalent units. We could then add these equivalent units to the ending WIP inventory for process 1. Any units that have been moved into process 2, will be subtracted from the WIP inventory for process 1. For example, a manufacturer may produce 10,000 units of a product, but only 8,000 units are fully completed.

When a production process involves multiple products that are produced simultaneously, it can be challenging to allocate the joint costs of the process to each product. This can lead to inaccuracies in calculating equivalent production units for each product. An equivalent unit is a term used to describe work-in-progress inventory units at the end of a specific time period. It defines the number of completed units of a particular item that the company could have produced, given the amount of costs that were incurred during that time period for all items not yet completed. In the current period, we transferred 500 units to process 2, and have 350 equivalent units in our WIP inventory.

Now you can determine the cost of the units transferred out and the cost of the units still in process in the finishing department. The total materials costs for the period (including any beginning inventory costs) are computed and divided by the equivalent units for materials. The total of the cost per unit for materials ($1.50) and for conversion costs ($6.90) is the total cost of each unit transferred to the testing and sorting department. When the hickory size 5A drumsticks have completed the shaping process, they are transferred to the packaging department along with the inventory costs of $29,775. The inventory costs of $29,775 were $8,775 for materials and $21,000 for conversion costs and were calculated in Figure 5.6.

What this example shows is that although there are 200 physical units of product in work in process, as they are only 25% complete it is equivalent to having 50 units of finished, fully completed product. Equivalent units of production are used by a manufacturer to express partially completed units of product in terms of finished units. To accurately compare equivalent production units over time, companies should use consistent units of measure.

These goods in process must have costs allocated to them along with the goods that were finished during the period. Secondly, the number of units introduced and completed in the current period should be calculated. In this case, the equivalent production for opening work-in-progress in the period is 300 units (i.e., 500 x 60%). Work-in-progress can be valued based on actual cost (i.e., an attempt may be made to find out how much materials have been used on the incomplete units and how much labor and expenses were used). In the next page, we will do a demonstration problem of the FIFO method for process costing. It shows that 650,000 units were transferred on to the Skim/Alloy Department, leaving 250,000 tons still in process.

For this process, materials are 70% complete and the units are 30% complete with respect to conversion. For this process, materials are added at the beginning of the process, and the units are 35% complete with respect to conversion. For the shaping department, the materials are 100% complete with regard to materials costs and 35% complete with regard to conversion costs. The 7,500 units completed and transferred out to the finishing department must be 100% complete with regard to materials and conversion, so they make up 7,500 (7,500 × 100%) units.

He has been a manager and an auditor with Deloitte, a big 4 accountancy firm, and holds a degree from Loughborough University. Sometimes that knowledge leads to management’s decision to stop production, but sometimes that decision isn’t as simple as it seems. The cost to produce a penny is more than one cent, and yet, the United States still makes pennies. See this article from Forbes that explains the difference among cost, worth, and value to learn more.

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