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Benoit Chemical Company $($BCC$)$ produces a variety of specialty chemicals used in the pharmaceutical industry and construction industry BCC spends almost $20\%$ of its net revenues on research, product development, and customer development to achieve its reputation as a high$-$quality producer of chemicals, a reliable supplier, and a great provider of customer service. BCC has a small number of large customers, each of which typically has one or more large orders being processed at BCC at any given point in time. These orders are typically completed over $1$ to $3$ months or longer. BCC uses job costing to keep track of total job costs over the duration of each order and process costing to keep track of monthly costs, department by department. The processing departments include mixing, reacting $($in which chemicals are heated and sometimes vacuum is applied$),$ cleaning, inspecting, and packaging. Much of the total product cost is accumulated in the first two processes, mixing and reacting. The following information is for activity and costs in the first two departments during the current month.

The mixing department started $74,000$ gallons this month. No spoilage is measured in the mixing department, but a careful measurement of the loss of material in reacting is taken after the completion of the reacting process. No materials are added in the reacting process. The number of gallons lost $($spoilage$)$ is considered normal spoilage and none of the costs of the spoiled units can be recovered. BCC uses the weighted$-$average method for process costing.

Percentage completion for conversion costs is $60\%$ in the mixing department for both beginning and ending inventory. The percentage completion for conversion costs for the reacting department for beginning and ending inventory is $30\%$ and $40\%,$ respectively.

Work$-$in$-$Process for the two departments is as follows.

$\backslash$table$[[,\backslash$table$[[$Mixing$],[$Department$],[($gallons$)]],\backslash$table$[[$Reacting$],[$Department$],[($gallons$)]]],[$Beginning work$-$in$-$process units,$28,000,16,500],[$Ending work$-$in$-$process units,$26,000,18,250],[$Normal spoilage $($lost gallons$),0,2,250]]$

Costs in the mixing department:

$\backslash$table$[[,$Materials,Conversion$],[$Beginning work$-$in$-$process,$$56,480,$$$282,400$

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