Problem 12 - Accounting

Question

Two items are omitted from each of the following three lists of cost of goods manufactured statement data. Determine the amounts of the missing items, identifying them by letter. \begin{tabular}{lllllc} Work in process inventory, December 1 & \(\$ 2,000\) & & \(\$ 12,000\) & (e) \\ Total manufacturing costs incurred during December & 14,000 & & (c) & & 70,000 \\\ Total manufacturing costs & (a) & & \(\$ 140,000\) & & \(\$ 76,000\) \\ Work in process inventory, December 31 & \(\frac{3,000}{\underline{\phantom{xx}}}\) & & 30,000 & & (f) \\\ Cost of goods manufactured & (b) & & (d) & \(\$ 62,000\) \\ \hline \hline \end{tabular}

Step-by-Step Solution

Answer

(a) = $16,000; (b) = $15,000; (c) = $128,000; (d) = $110,000; (e) = -$14,000; (f) = $76,000.

Step 1: Understand the formulas

To solve for the missing values in a cost of goods manufactured statement, we need to use the fundamental formula:\[ \text{Cost of Goods Manufactured} = \text{Total Manufacturing Costs} + \text{Work in Process Inventory at Beginning} - \text{Work in Process Inventory at End} \] where \( \text{Total Manufacturing Costs} = \text{Total Manufacturing Costs Incurred during the Period} + \text{Work in Process Inventory at Beginning} \).

Step 2: Solve for (a) in the first list

For the first list, we are given:- Work in process beginning = \( \\(2,000 \)- Manufacturing costs incurred = \( \\)14,000 \)- Work in process ending = \( \\(3,000 \)From the formula, we know:\[ \text{Total Manufacturing Costs} = \text{Manufacturing costs incurred} + \text{Work in process beginning} \]Therefore,\[ (a) = 14,000 + 2,000 = \\)16,000 \]

Step 3: Solve for (b) in the first list

Still using the values from the first list:\[ \text{Cost of goods manufactured} = \text{Total manufacturing costs} + \text{Work in process beginning} - \text{Work in process ending} \]Substituting in the known values:\[ (b) = 16,000 - 3,000 = \$15,000 \]

Step 4: Solve for (c) in the second list

For the second list, we are given:- Work in process beginning = \( \\(12,000 \)- Total manufacturing costs = \( \\)140,000 \)- Work in process ending = \( \\(30,000 \)Using the equation for total manufacturing costs:\[ \text{Total Manufacturing Costs} = \text{Total Manufacturing Costs Incurred} + \text{Work in process beginning} \]\[ 140,000 = (c) + 12,000 \]So,\[ (c) = 140,000 - 12,000 = \\)128,000 \]

Step 5: Solve for (d) in the second list

Using the cost of goods manufactured formula for the second list:\[ \text{Cost of goods manufactured} = \text{Total manufacturing costs} - \text{Work in process ending} \]\[ (d) = 140,000 - 30,000 = \$110,000 \]

Step 6: Solve for (e) in the third list

For the third list, we have:- Total manufacturing costs: \( \\(76,000 \)- Work in process ending: \( \\)0 \)- Cost of goods manufactured: \( \\(62,000 \)Using the first equation:\[ \text{Cost of goods manufactured} = \text{Total manufacturing costs} + e - \text{Work in process ending} \]\[ 62,000 = 76,000 + (e) - 0 \]Hence,\[ (e) = 62,000 - 76,000 = -\\)14,000 \]

Step 7: Solve for (f) in the third list

Similarly for (f), since the ending inventory is not used in determining the work in process:\[ \text{Total Manufacturing Costs} = \text{Work in process inventory beginning} + \text{Total Manufacturing Costs Incurred} - (f) \]Simplifying, we have:\[ 76,000 = (f) \]Thus,\[ (f) = 76,000 \]

Key Concepts

Work in Process Inventory

Understanding Work-in-Process (WIP) inventory is essential for grasping how products are costed in a manufacturing environment. WIP inventory refers to all materials, labor, and overhead costs that are tied up in products that are not yet completed by the end of an accounting period.

• Beginning WIP Inventory: This is what you had in progress before starting new production for the period. It's a critical starting point for calculating total manufacturing costs as it balances opening inventory by adding initial costs to manufacturing.
• Ending WIP Inventory: At the end of the period, any products that are still not finished remain as WIP. The ending WIP inventory impacts the Cost of Goods Manufactured (COGM) because it's subtracted from total manufacturing costs to calculate how much work was completed in the period.

The calculation for determining COGM using WIP inventory is expressed in the formula:\[ \text{COGM} = \text{Total Manufacturing Costs} + \text{WIP Beginning} - \text{WIP Ending} \]Understanding WIP inventory ensures that manufacturing businesses have a comprehensive view of all costs incurring during the period and provides a forecast of future production efficiency.

Manufacturing Costs

Manufacturing costs, often referred to as the conversion of raw materials into finished goods, encompass several elements vital in a production setting.

• Direct Materials: These are raw materials directly consumed in the creation of a product. Calculating and managing these costs can significantly affect a company's bottom line.
• Direct Labor: This accounts for the wages paid to workers directly involved in production. Efficient labor management helps in optimizing cost control.
• Manufacturing Overhead: This includes indirect costs such as utilities and maintenance. These are additional costs that are not directly tied to a specific unit of product.

An understanding of manufacturing costs is pivotal in calculating the Total Manufacturing Costs during the accounting period. This further helps in assessing the financial health of the manufacturing entity. The formula related to manufacturing costs is:\[ \text{Total Manufacturing Costs} = \text{Manufacturing Costs Incurred} + \text{Beginning WIP} \]It is essential for students to grasp each component's role in overall manufacturing expenses to enhance both cost reduction and financial planning skills.

Accounting Education

Gaining insights into cost accounting is a fundamental step in accounting education, especially for those pursuing careers in manufacturing sectors. Understanding key concepts such as Cost of Goods Manufactured (COGM) equips students with the necessary knowledge to analyze production efficiency and financial performance. Key Aspects of Learning:

• Theoretical Knowledge: Building a strong foundation in understanding the terminology and the significance of each component involved in manufacturing accounting.
• Practical Application: Applying formulas like those for calculating total manufacturing costs and COGM aids in reinforcing theoretical understanding through real-world examples.
• Analytical Skills: Students learn to make data-driven decisions by examining variances and analyzing their impact on business performance.
• Problem-Solving: Exercises such as determining omitted items or interpreting manufacturing statements develop problem-solving capabilities, which are essential for managerial accounting.

By immersing into accounting education focused on manufacturing contexts, students gain a comprehensive understanding of how businesses manage production costs effectively and enhance operational efficiency for sustained success.