At the beginning of the month, the Painting Department of Skye Manufacturing had 30,000 units in inventory, 70% complete as to materials, and 20% complete as to conversion. The cost of the beginning inventory, $38,650, consisted of $32,400 of material costs and $6,250 of conversion costs. During the month the department started 125,000 units and transferred 135,000 units to the next manufacturing department. Costs added in the current month consisted of $282,240 of materials costs and $544,700 of conversion costs. At the end of the month, the department had 20,000 units in inventory, 40% complete as to materials and 15% complete as to conversion. If Skye Manufacturing uses the weighted average method of process costing, compute the costs per equivalent unit of materials and conversion respectively for the Painting Department.

Cost per equivalent unit of material =  $2.20 per unit

Cost per equivalent unit of conversion =  $4 unit

Explanation:

The computation of Cost per equivalent unit of material, Cost per equivalent unit of conversion is shown below:-

For computing the cost per equivalent first we need to find the equivalent unit of material which is below:-

= Transferred units + ( Department units × Material percentage)

= 135,000 + (20,000 × 40%)

= 135,000 + 8,000

= 143,000

So, the Cost per equivalent unit of material = (Beginning material cost + Current month material cost) ÷ Equivalent unit of material

= ($32,400 + $282,240) ÷ 143,000

= $314,640  ÷ 143,000

= $2.20 per unit

Now, For computing the Cost per equivalent unit of conversion first we need to find the equivalent unit of conversion cost which is below:-

= Transferred units + ( Department units × Conversion percentage)

= 135,000 + (20,000 × 15%)

= 135,000 + 3,000

= 138,000

So, the Cost per equivalent unit of conversion = (Beginning conversion cost + Current month conversion cost) ÷ Equivalent unit of conversion cost

= ($6,250 + $544,700) ÷ 138,000

= $550,950  ÷ 138,000

= 3.99

or $4 unit