Final answer:
The cost assigned to ending work in process can be calculated by finding the equivalent units of production for both the raw materials and conversion costs, and then multiplying these units by their respective costs. In this case, the cost assigned to ending work in process for raw materials is $12,800 and for conversion costs is $440, resulting in a total cost of $13,240.
Step-by-step explanation:
The cost assigned to ending work in process can be calculated by finding the equivalent units of production for both the raw materials and conversion costs, and then multiplying these units by their respective costs. In this case, the equivalent units of production for raw materials is 10,000 gallons (the starting gallons) minus 2,000 gallons (the ending gallons) = 8,000 gallons. The cost per gallon of raw materials is $16,000 / 10,000 gallons = $1.60. Therefore, the cost assigned to ending work in process for raw materials is 8,000 gallons × $1.60/gallon = $12,800.
The equivalent units of production for conversion costs can be calculated by taking into account the remaining work in process (2,000 gallons) and the percentage of completion (40%). The conversion costs incurred during the period were $5,500. Therefore, the cost assigned to ending work in process for conversion costs is 2,000 gallons × 40% × $5,500 / 10,000 gallons = $440.
Adding the costs assigned to ending work in process for raw materials ($12,800) and conversion costs ($440), the total cost assigned to ending work in process is $13,240. Therefore, the closest answer choice is A) $3,700.
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