Auto Luster Inc. manufactures two-gallon tubs of car polish...

Auto Luster Inc. manufactures two-gallon tubs of car polish for body shops. The company uses an actual cost, process costing system. All material is added at the beginning of production; labor and overhead are incurred evenly through the process. Defective units are identified through inspection at the end of the production process. The following information is available for August 2001 : $$ \begin{array}{lr} \text { Beginning inventory (30\% complete as to conversion) } & 750 \text { units } \\ \text { Started during month } & 17,250 \text { units } \\ \text { Completed during month } & 15,000 \text { units } \\ \text { Defective units ( } 100 \% \text { complete as to conversion) } & 1,800 \text { units } \\ \text { Ending inventory ( } 70 \% \text { complete as to conversion) } & 1,200 \text { units } \end{array} $$ a. Determine the equivalent units of production using the weighted average method. b. Assume that the rework is normal. Determine the cost per good unit for direct material and conversion. c. Assume that the rework is normal. How would the rework cost be handled in a normal (rather than actual) costing system? d. Assume that the rework is abnormal. Determine the cost per good unit for direct material and conversion. How is the rework cost recorded for financial statement purposes?

Auto Luster Inc. manufactures two-gallon tubs of car polish for body shops. The company uses an actual cost, process costing system. All material is added at the beginning of production; labor and overhead are incurred evenly through the process. Defective units are identified through inspection at the end of the production process. The following information is available for August 2001 :
$$
\begin{array}{lr}
\text { Beginning inventory (30\% complete as to conversion) } & 750 \text { units } \\
\text { Started during month } & 17,250 \text { units } \\
\text { Completed during month } & 15,000 \text { units } \\
\text { Defective units ( } 100 \% \text { complete as to conversion) } & 1,800 \text { units } \\
\text { Ending inventory ( } 70 \% \text { complete as to conversion) } & 1,200 \text { units }
\end{array}
$$
a. Determine the equivalent units of production using the weighted average method.
b. Assume that the rework is normal. Determine the cost per good unit for direct material and conversion.
c. Assume that the rework is normal. How would the rework cost be handled in a normal (rather than actual) costing system?
d. Assume that the rework is abnormal. Determine the cost per good unit for direct material and conversion. How is the rework cost recorded for financial statement purposes?

Key Concepts

Process Costing

Process costing is an accounting method used to determine the cost of production in industries where production is continuous and units are homogeneous. It accumulates costs by department or process over a period of time, rather than on a per job basis, allowing for the averaging of costs over the total number of units produced.

Equivalent Units of Production

Equivalent units of production represent the amount of work done during a period expressed in fully completed units. In situations where production is partially complete, this concept converts the work done into an equivalent number of fully completed units, which is essential for accurate cost allocation.

Weighted Average Method

The weighted average method is a technique for calculating equivalent units of production that combines the costs and units of the beginning work in process with the costs and units added during the period. This approach averages out the cost per unit and simplifies the allocation of costs between completed units and ending inventory.

Direct Materials versus Conversion Costs

In process costing, costs are generally divided into direct materials and conversion costs (which include labor and manufacturing overhead). Direct materials, often added at the beginning of production, are treated differently from conversion costs, which are typically incurred uniformly over the production process. This distinction is important for calculating equivalent units and cost per unit accurately.

Normal versus Abnormal Rework

Normal rework refers to the expected level of defective units that are reprocessed or repaired at an additional cost, and such costs are usually allocated across good units produced. Abnormal rework, on the other hand, represents defects beyond the expected levels and is treated as a separate cost or loss that is not allocated to the cost of good units. The handling of rework costs affects how production costs are assigned and reported in financial statements.

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