$1)$ Story Manufacturing produces a chemical pesticide and uses process costing. There are three processing departments$$Mixing$,$ Refining, and Packaging. On January $1,$ the first department$$Mixing$$had a zero beginning balance. During January, $42,000$ gallons of chemicals were started into production. During the month, $34,000$ gallons were completed, and $8,000$ remained in process, partially completed. In the Mixing Department, all direct materials are added at the beginning of the production process, and conversion costs are applied evenly through the process.

During January, the Mixing Department incurred $$63,000$ in direct materials costs and $$240,000$ in conversion costs. At the end of the month, the ending inventory in the Mixing Department was $60\%$ complete with respect to conversion costs. First, calculate the equivalent units, then calculate the cost per equivalent unit, and then calculate the total cost of the product that was completed and transferred out during January. The weighted$-$average method is used.

Using this data, calculate the full cost of the ending WIP balance in the Mixing Department, and the cost of the units that were transferred out of the Mixing Department and into the Refining Department.

$2)$ Selected production and cost data of Westgate Manufacturing Company follow for June:

Mixing Department Finishing Department

Units to account for:

Beginning work$-$in$-$process, May $3132,00017,400$

Started in June $47,000$

Transferred in during June $63,000$

Total units to account for $79,00080,400$

Units accounted for

Completed and transferred out during June $63,00068,400$

Ending work$-$in$-$process, June $3016,00012,000$

Total units accounted for $79,00080,400$

On June $30,$ the Mixing Department ending Work$-$in$-$Process Inventory was $80\%$ complete for materials and $40\%$ complete for conversion costs. The Finishing Department ending Work$-$in$-$Process Inventory was $75\%$ complete for materials and $60\%$ complete for conversion costs.

Requirements:

$1.$ Compute the equivalent units of production for direct materials and for conversion costs for the Mixing Department.

$2.$ Compute the equivalent units of production for transferred in costs, direct materials, and conversion costs for the Finishing Department.

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$3)$ Ego Manufacturing produces a pesticide chemical and uses process costing. There are three processing departments$$Mixing$,$ Refining, and Packaging. On January $1,$ the Refining Department had $2,000$ gallons of partially processed product in production. During January, $33,000$ gallons were transferred in from the Mixing Department, and $29,000$ gallons were completed and transferred out. At the end of the month, there were $6,000$ gallons of partially processed product remaining in the Refining Department. See additional details below.

Refining Department, beginning balance at January $1$

Quantity: $2,000$ units $($partially processed$)$

Cost: $$15,600$ of costs transferred in

$$4,500$ of materials cost

$$1,000$ of conversion cost

$21,100$ total account balance

Costs added during January

Cost of units transferred in $$222,400$

Direct materials cost $$93,750$

Conversion cost $$48,000$

Refining Department, ending balance at January $31$

Quantity: $6,000$ units $($partially processed$)$

Percent complete for materials cost: $90\%$

Percent complete for conversion cost: $75\%$

What was the cost per equivalent unit with respect to transferred$-$in costs, direct materials cost, and conversion costs for the Refining Department in the month of January? $($Use the weighted$-$average method, and round your calculations to the nearest cent.$)$

INFO: How is a production cost report prepared using the FIFO method?

$1.$ Prior period costs are not merged with current period costs.

$2.$ Equivalent units of production must be calculated for units in beginning inventory completed in the current period, units started and completed in the current period, and units started and still in process at the end of the current period.

$4)$ At the start of June, the Polishing Department of John's Counters, Inc. had $15,000$ units in beginning inventory that were $100\%$ complete with respect to direct materials and conversion costs. During the month, it received $25,000$ units from the Machining Department. It started and completed $17,000$ units and transferred $32,000$ units to the Packaging Department. It had $8,000$ units in ending Work$-$in$-$Process Inventory. Direct materials are added at the beginning of the process. Units in beginning Work$-$in$-$Process Inventory were $50\%$ complete in respect to conversion costs. Units in ending Work$-$in$-$Process Inventory were $40\%$ complete with respect to conversion costs.

Prepare the production cost report for the Polishing Department for the equivalent units of production for the month of June. Use the FIFO method.