Math Problem Statement

For department unit material cost is $15 and unit conversion cost is 25. If there is 100,000 units and ending work process that are 75% complete to conversion cost the cost assigned to inventory Are

Solution

To calculate the cost assigned to the ending inventory based on the information provided, we need to break down the costs into material cost and conversion cost. Here’s how to approach it:

Given:

  • Unit material cost = $15
  • Unit conversion cost = $25
  • Ending work-in-process (WIP) units = 100,000
  • Completion of WIP = 75% (only for conversion costs)

Steps:

  1. Material Cost: Material costs are assigned in full regardless of the percentage completion because the materials are assumed to be added at the beginning of the process. Hence, all 100,000 units will have the full material cost.

    Material cost=100,000×15=1,500,000\text{Material cost} = 100,000 \times 15 = 1,500,000

  2. Conversion Cost: Conversion costs are assigned based on the percentage completion. In this case, the WIP units are 75% complete in terms of conversion cost.

    Conversion cost=100,000×25×0.75=1,875,000\text{Conversion cost} = 100,000 \times 25 \times 0.75 = 1,875,000

  3. Total Cost Assigned to Ending Inventory: The total cost assigned to the ending inventory will be the sum of the material cost and the conversion cost.

    Total cost=1,500,000+1,875,000=3,375,000\text{Total cost} = 1,500,000 + 1,875,000 = 3,375,000

Conclusion:

The total cost assigned to the ending inventory is $3,375,000.


Would you like more details on any part of the calculation?

Here are five related questions:

  1. How do beginning and ending inventory impact overall cost calculations?
  2. What if the units were 50% complete for conversion costs instead of 75%?
  3. How would the calculation change if there were additional costs involved, such as overhead?
  4. How are equivalent units of production determined for conversion costs?
  5. Can you explain the difference between material costs and conversion costs in production accounting?

Tip: Always double-check the percentage completion when calculating conversion costs, as it directly affects the cost allocation to inventory.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Cost Accounting
Weighted-Average Method
Work-in-Process Inventory

Formulas

Material cost = units × material cost per unit
Conversion cost = units × conversion cost per unit × completion percentage
Total cost = material cost + conversion cost

Theorems

Weighted-Average Cost Method in Process Costing

Suitable Grade Level

College/University - Accounting