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Chapter 17: Problem 23

Zero beginning inventory, materials introduced in middle of process. Dot and Ken Ice Cream uses a mixing department and a freezing department in producing its ice cream. Its process-costing system in the mixing department has two direct materials cost categories (ice cream mix and flavorings) and one conversion cost pool. The following data pertain to the mixing department for April 2017 : The ice cream mix is introduced at the start of operations in the mixing department, and the flavorings are added when the product is \(40 \%\) completed in the mixing department. Conversion costs are added evenly during the process. The ending work in process in the mixing department is \(30 \%\) complete. 1\. Compute the equivalent units in the mixing department for April 2017 for each cost category. 2\. Compute (a) the cost of goods completed and transferred to the freezing department during April and (b) the cost of work in process as of April 30,2017

Short Answer

Expert verified
In this exercise, we calculated the equivalent units for ice cream mix, flavorings, and conversion costs in the mixing department for April 2017. We determined that the equivalent units for the ice cream mix were 100%, flavorings were 40%, and conversion costs were 30%. We then calculated the cost of goods completed as: (1 * X) + (0.4 * Y) + (0.3 * Z), where X, Y, and Z represent the costs of the ice cream mix, flavorings, and conversion costs, respectively. Finally, we calculated the cost of work in process as of April 30, 2017, as: 0 + 0.6 * Y + 0.7 * Z. To obtain the specific numerical values, you need to replace X, Y, and Z with the actual costs incurred for each cost category.

Step by step solution

01

Determine Equivalent Units for Ice Cream Mix, Flavorings, and Conversion Costs

To calculate the equivalent units, we need to account for the percentage completion of each cost category in the mixing department. We know that the ice cream mix is added at the beginning, flavorings are added at 40% completion, and conversion costs are added evenly throughout. Equivalent Units for Ice Cream Mix: Since ice cream mix is added at the beginning, all units in the ending work in process inventory will have ice cream mix, so its equivalent units are 100%. Equivalent Units for Flavorings: Flavorings are added when the production is 40% completed, and the ending work in process is only 30% complete, which means no flavorings have been added to it. So, the equivalent units for flavorings will be equal to the percentage completion of the production stage in which flavorings are added, which is 40%. Equivalent Units for Conversion Costs: Conversion costs are added evenly during the process, so the percentage completion for conversion costs will be the same as the ending work in process completion, which is 30%.
02

Calculate the Cost of Goods Completed and Transferred to the Freezing Department

To calculate the cost of goods completed, we will take the respective equivalent units for each cost category and multiply it by the total costs incurred for that category. Since we don't have the actual cost information given in this exercise, let's assume the costs for each category are as follows: Ice Cream Mix Cost: \(X\) Flavorings Cost: \(Y\) Conversion Cost: \(Z\) Cost of goods completed = (Equivalent Units for Ice Cream Mix * Ice Cream Mix Cost) + (Equivalent Units for Flavorings * Flavorings Cost) + (Equivalent Units for Conversion Costs * Conversion Cost) Cost of goods completed = (1 * X) + (0.4 * Y) + (0.3 * Z)
03

Calculate the Cost of Work In Process as of April 30, 2017

The cost of the work in process will be the remaining costs in each cost category after the cost of goods completed has been transferred out. Cost of work in process = (Total costs incurred for each category) - (Cost of goods completed) For ice cream mix: Cost of work in process (ice cream mix) = X - (1 * X) = 0 For flavorings: Cost of work in process (flavorings) = Y - (0.4 * Y) = 0.6 * Y For conversion costs: Cost of work in process (conversion costs) = Z - (0.3 * Z) = 0.7 * Z Total cost of work in process as of April 30, 2017 = Cost of work in process (ice cream mix) + Cost of work in process (flavorings) + Cost of work in process (conversion costs) Total cost of work in process = 0 + 0.6 * Y + 0.7 * Z To get the specific numerical values, you need to replace \(X\), \(Y\), and \(Z\) with the actual costs incurred for each cost category.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Equivalent Units
In process costing, equivalent units are used to represent the amount of work done on a certain number of physical units in terms of complete units. This concept is essential for calculating costs in departments like the mixing department in a manufacturing setting. In this scenario, equivalent units help us figure out how much of each category of costs (ice cream mix, flavorings, and conversion costs) has been completed.
To calculate equivalent units, we base our calculations on the percentage of completion for each cost category. Here:
  • The ice cream mix is added at the start, meaning equivalent units for the ice cream mix are 100%, as all units will have this component from the beginning.
  • Flavorings are introduced at a 40% completion stage, which implies they contribute to the equivalent units based on that level of completion.
  • Conversion costs are added uniformly, so the degree of completion equals the completion percentage of the ending work in process inventory, which, in this case, is 30%.
Understanding how equivalent units are calculated helps in accurately attributing production costs to the respective stages of production.
Mixing Department
The mixing department plays a critical role in the overall manufacturing process of products like ice cream. Its primary function is to ensure that all primary ingredients are combined efficiently to create a consistent product base.
In this particular example, the mixing department handles two direct materials cost categories: ice cream mix and flavorings.
The process-costing system of the mixing department facilitates the accurate allocation and tracking of costs as materials move through different stages of production. Since the flavorings are added at 40% completion of the process, understanding the role of the mixing department ensures precise cost allocation to this phase and helps in budget management.
  • Ice cream mix is introduced at the beginning, guaranteeing full inclusion in the product.
  • Flavorings contribute to the process when the product is nearly halfway complete.
  • Effective cost tracking in this department is critical for the subsequent phases of production, such as freezing.
Conversion Costs
Conversion costs cover expenditures related to turning materials into finished products, essentially accounting for labor and overhead expenses. These are vital as they encompass the costs of the transformation activities within the mixing department.
Conversion costs are introduced evenly throughout the entire production process as the product progresses. For instance, if the final product in the mixing department is only 30% complete, we'd allocate 30% of the conversion costs.
This even distribution allows for straightforward calculation and consistent application of costs across different production periods. Calculating conversion costs accurately ensures that product pricing reflects the true cost of producing each unit, vital for financial planning and profitability analysis.
  • Comprehensive recording of labor and overhead costs is part of conversion cost assessment.
  • Ensures that each stage of production, including the early, mid, and late phases, accurately reflects the effort expended.
Cost of Goods Completed
Calculating the cost of goods completed is imperative to determining the expenditures incurred in finishing and readying products for the next production stage. The Mixing Department's accurate evaluation of these costs provides valuable insights into overall manufacturing efficiency.
To find the cost of goods completed, multiply the equivalent units for each cost category by the respective costs. Using hypothetical values:
  • Ice Cream Mix: 100% equivalent units.
  • Flavorings: 40% equivalent units since they weren't added to any unfinished product.
  • Conversion Costs: 30% equivalent units, a reflection of the process completion when moving to the next stage.
By aggregating these calculated costs, businesses can ascertain a clear budget of incurred expenses and control their spending. Cost determination also aids in assessing the value of goods transferred to additional departments like freezing.
Work in Process Costs
Work in Process (WIP) costs account for the cumulative expenses held in unfinished products within the manufacturing cycle, offering a snapshot of ongoing investment in production.
For the mixing department, WIP costs highlight the expenditures remaining in partially completed goods at the end of a period - such as April 30th, 2017 in this example.
  • The cost related to the ice cream mix would amount to zero if all were converted into completed goods.
  • Flavorings' WIP cost depicts the percentage that hasn't been added, equating to 60% as 40% was included in finished goods.
  • Conversion costs account for a 70% completion in unfinished goods.
Understanding WIP costs is crucial for reconciling inventory accounts, streamlining operations, and planning future production requirements. It ensures that resources are efficiently balanced between ongoing and completed tasks.

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Most popular questions from this chapter

Identify a major advantage of the FIF0 method for purposes of planning and control.

Name the three inventory methods commonly associated with process costing.

Describe the distinctive characteristic of weighted-average computations in assigning costs to units completed and to units in ending work in process.

Equivalent units, zero beginning inventory. Candid, Inc. is a manufacturer of digital cameras. It has two departments: assembly and testing. In January 2017 , the company incurred \(\$ 800,000\) on direct materials and \(\$ 805,000\) on conversion costs, for a total manufacturing cost of \(\$ 1,605,000\) 1\. Assume there was no beginning inventory of any kind on January 1,2017 . During January, 5,000 cameras were placed into production and all 5,000 were fully completed at the end of the month. What is the unit cost of an assembled camera in January? 2\. Assume that during February 5,000 cameras are placed into production. Further assume the same total assembly costs for January are also incurred in February, but only 4,000 cameras are fully completed at the end of the month. All direct materials have been added to the remaining 1,000 cameras. However, on average, these remaining 1,000 cameras are only \(60 \%\) complete as to conversion costs. (a) What are the equivalent units for direct materials and conversion costs and their respective costs per equivalent unit for February? (b) What is the unit cost of an assembled camera in February \(2017 ?\) 3\. Explain the difference in your answers to requirements 1 and 2

Benchmarking, ethics. Amanda McNall is the corporate controller of Scott Quarry. Scott Quarry operates 12 rock-crushing plants in Scott County, Kentucky, that process huge chunks of limestone rock extracted from underground mines. Given the competitive landscape for pricing, Scott's managers pay close attention to costs. Each plant uses a process-costing system, and at the end of every quarter, each plant manager submits a production report and a production-cost report. The production report includes the plant manager's estimate of the percentage of completion of the ending work in process as to direct materials and conversion costs, as well as the level of processed limestone inventory. McNall uses these estimates to compute the cost per equivalent unit of work done for each input for the quarter. Plants are ranked from 1 to 12 , and the three plants with the lowest cost per equivalent unit for direct materials and conversion costs are each given a bonus and recognized in the company newsletter. McNall has been pleased with the success of her benchmarking program. However, she has recently received anonymous e-mails that two plant managers have been manipulating their monthly estimates of percentage of completion in an attempt to obtain the bonus. 1\. Why and how might managers manipulate their monthly estimates of percentage of completion and level of inventory? 2\. McNall's first reaction is to contact each plant controller and discuss the problem raised by the anonymous communications. Is that a good idea? 3\. Assume that each plant controller's primary reporting responsibility is to the plant manager and that each plant controller receives the phone call from McNall mentioned in requirement 2. What is the ethical responsibility of each plant controller (a) to Amanda McNall and (b) to Scott Quarry in relation to the equivalent-unit and inventory information each plant provides? 4\. How might McNall learn whether the data provided by particular plants are being manipulated?
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