A product passes through three distinct processes to completion. During the first week of March, 500 units are produced. The following information is obtained: Process I: Materials... A product passes through three distinct processes to completion. During the first week of March, 500 units are produced. The following information is obtained: Process I: Materials Rs. 30,000, Labour Rs. 25,000, Direct Expenses Rs. 5,000; Process II: Materials Rs. 15,000, Labour Rs. 20,000, Direct Expenses Rs. 1,000; Process III: Materials Rs. 10,000, Labour Rs. 25,000, Direct Expenses Rs. 5,000. The indirect expenses for the period were Rs. 14,000 apportioned to the processes on the basis of wages. Prepare Process Accounts showing total cost per unit in each process.

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Understand the Problem

The question is asking to prepare process accounts for three distinct processes of a product, given the costs associated with materials, labor, and direct expenses, as well as indirect expenses that need to be apportioned based on the wages for each process. The goal is to calculate the total cost per unit for each process.

Answer

- Process I: $137.86$ - Process II: $88.00$ - Process III: $97.85$
Answer for screen readers
  • Total Cost Process I: Rs. 68,928.57
  • Total Cost Process II: Rs. 44,000
  • Total Cost Process III: Rs. 48,928.57

Cost per unit:

  • Process I: Rs. 137.86
  • Process II: Rs. 88.00
  • Process III: Rs. 97.85

Steps to Solve

  1. Calculate Total Costs for Each Process

    For each process, add up the costs of materials, labor, and direct expenses:

    • Process I: [ \text{Total Cost I} = \text{Materials} + \text{Labour} + \text{Direct Expenses} = 30000 + 25000 + 5000 = 60000 ]

    • Process II: [ \text{Total Cost II} = \text{Materials} + \text{Labour} + \text{Direct Expenses} = 15000 + 20000 + 1000 = 36000 ]

    • Process III: [ \text{Total Cost III} = \text{Materials} + \text{Labour} + \text{Direct Expenses} = 10000 + 25000 + 5000 = 40000 ]

  2. Calculate Total Wages and Apportion Indirect Expenses

    Determine the total labor costs which will be used to allocate the indirect expenses:

    [ \text{Total Wages} = \text{Labour I} + \text{Labour II} + \text{Labour III} = 25000 + 20000 + 25000 = 70000 ]

    Allocate the indirect expenses of Rs. 14,000 according to the proportion of wages for each process:

    • Process I: [ \text{Indirect Expenses I} = \left( \frac{\text{Labour I}}{\text{Total Wages}} \right) \times \text{Indirect Expenses} = \left( \frac{25000}{70000} \right) \times 14000 = 8928.57 ]

    • Process II: [ \text{Indirect Expenses II} = \left( \frac{\text{Labour II}}{\text{Total Wages}} \right) \times \text{Indirect Expenses} = \left( \frac{20000}{70000} \right) \times 14000 = 8000 ]

    • Process III: [ \text{Indirect Expenses III} = \left( \frac{\text{Labour III}}{\text{Total Wages}} \right) \times \text{Indirect Expenses} = \left( \frac{25000}{70000} \right) \times 14000 = 8928.57 ]

  3. Calculate Final Total Cost for Each Process

    Add the indirect expenses to the total cost for each process:

    • Process I: [ \text{Final Total Cost I} = \text{Total Cost I} + \text{Indirect Expenses I} = 60000 + 8928.57 = 68928.57 ]

    • Process II: [ \text{Final Total Cost II} = \text{Total Cost II} + \text{Indirect Expenses II} = 36000 + 8000 = 44000 ]

    • Process III: [ \text{Final Total Cost III} = \text{Total Cost III} + \text{Indirect Expenses III} = 40000 + 8928.57 = 48928.57 ]

  4. Calculate Cost Per Unit for Each Process

    Divide each process's total cost by the number of units (500):

    • Process I: [ \text{Cost Per Unit I} = \frac{\text{Final Total Cost I}}{500} = \frac{68928.57}{500} = 137.86 ]

    • Process II: [ \text{Cost Per Unit II} = \frac{\text{Final Total Cost II}}{500} = \frac{44000}{500} = 88 ]

    • Process III: [ \text{Cost Per Unit III} = \frac{\text{Final Total Cost III}}{500} = \frac{48928.57}{500} = 97.85 ]

  • Total Cost Process I: Rs. 68,928.57
  • Total Cost Process II: Rs. 44,000
  • Total Cost Process III: Rs. 48,928.57

Cost per unit:

  • Process I: Rs. 137.86
  • Process II: Rs. 88.00
  • Process III: Rs. 97.85

More Information

The overall costs reflect the direct and indirect expenses incurred during the production processes, with each process absorbing a share based on labor costs.

Tips

  • Failing to calculate the total wages correctly can lead to incorrect apportionment of indirect expenses.
  • Not converting expenses properly when assigning to individual processes can skew the final costs.
  • Not dividing by the total number of units to find the per-unit cost.

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