Answer :
To solve this problem, we are using the weighted average method in process costing which involves several calculations related to cost and productivity in a manufacturing process. Here are the steps involved:
Calculate Equivalent Units
Direct Material:
Equivalent units for direct material are based on the number of units completed and the units in ending work in process.
[tex]\text{Equivalent Units for Direct Materials} = \text{Units Completed and Transferred Out} + (\text{Units in Ending WIP} \times \text{Completion % for Direct Materials})[/tex]
[tex]= 28800 + (900 \times 0.70)[/tex]
[tex]= 28800 + 630 = 29430[/tex]
Conversion Costs:
Equivalent units for conversion costs are calculated similarly.
[tex]\text{Equivalent Units for Conversion} = \text{Units Completed and Transferred Out} + (\text{Units in Ending WIP} \times \text{Completion % for Conversion})[/tex]
[tex]= 28800 + (900 \times 0.20)[/tex]
[tex]= 28800 + 180 = 28980[/tex]
Calculate Equivalent Cost Per Unit
First, calculate the total costs for direct materials and conversion.
[tex]\text{Total Direct Material Cost} = \text{Beginning Direct Material Cost} + \text{Additional Direct Material Cost}[/tex]
[tex]= RM1904 + RM104044 = RM105948[/tex]
[tex]\text{Total Conversion Cost} = \text{Beginning Conversion Cost} + \text{Additional Conversion Cost}[/tex]
[tex]= RM8624 + RM875266 = RM883890[/tex]
Calculate the cost per equivalent unit.
[tex]\text{Cost per Equivalent Unit for Materials} = \frac{\text{Total Direct Material Cost}}{\text{Equivalent Units for Direct Materials}}[/tex]
[tex]= \frac{RM105948}{29430} \approx RM3.60[/tex]
[tex]\text{Cost per Equivalent Unit for Conversion} = \frac{\text{Total Conversion Cost}}{\text{Equivalent Units for Conversion}}[/tex]
[tex]= \frac{RM883890}{28980} \approx RM30.50[/tex]
Calculate Cost of Ending Work in Process
Use the equivalent units and equivalent cost to find the total cost of the ending WIP.
[tex]\text{Cost of Ending WIP} = (\text{Ending Units} \times \text{% Completion for Materials} \times \text{Material Cost per Unit}) + (\text{Ending Units} \times \text{% Completion for Conversion} \times \text{Conversion Cost per Unit})[/tex]
[tex]= (900 \times 0.70 \times RM3.60) + (900 \times 0.20 \times RM30.50)[/tex]
[tex]= 630 \times RM3.60 + 180 \times RM30.50[/tex]
[tex]= RM2268 + RM5490[/tex]
[tex]= RM7758[/tex]
Calculate Transferred Out Cost to the Next Department
Finally, we calculate the transferred out cost.
[tex]\text{Transferred Cost} = \text{Units Transferred} \times (\text{Material Cost per Unit} + \text{Conversion Cost per Unit})[/tex]
[tex]= 28800 \times (RM3.60 + RM30.50)[/tex]
[tex]= 28800 \times RM34.10[/tex]
[tex]= RM982080[/tex]
In summary, we calculated the equivalent units for both direct materials and conversion costs, the equivalent cost per unit of production, the cost of units still in process at the month-end, and the cost of units transferred to the next department.