MGT212 Cost and Management Accounting

Cost and Management AccountingUnit 118 min read

By-Products & Joint Products: Definitions, Allocation, Profitability

Unit 11 of Cost and Management Accounting explains how to distinguish between by-products and joint products, allocate joint costs, and calculate their profitability using real-world examples like Nepal’s tea and paper industries. This note covers definitions, cost allocation methods (sales value, physical quantity, ne

Key Definitions and Differences

1. Joint Products vs. By-Products

classDiagram
    class JointProduct {
        +Produced simultaneously
        +High relative sales value
        +Primary focus of production
        +Example: Crude oil → Petrol, Diesel, Lubricants
    }
    class ByProduct {
        +Produced incidentally
        +Low relative sales value
        +Secondary to main product
        +Example: Wheat bran from flour milling
    }
    JointProduct --> "Produced together" ByProduct : "Same process"
Feature Joint Product By-Product
Production Intent Primary goal Incidental output
Sales Value High (major revenue source) Low (minor revenue source)
Cost Allocation Requires careful allocation Often sold at scrap value
Example (Nepal) Tea processing → Tea leaves + Tea dust Paper industry → Paper + Cardboard

2. How Joint Products Work: A Nepali Tea Factory Example

Scenario: A tea factory in Ilam processes 10,000 kg of green tea leaves into:

  • Product A (High-grade tea leaves): 8,000 kg (sold at Rs. 500/kg)
  • Product B (Tea dust): 2,000 kg (sold at Rs. 100/kg)

Total Production Cost: Rs. 3,000,000

Step-by-Step Cost Allocation Using Net Realizable Value (NRV) Method

  1. Calculate Total Sales Value:

    • Tea leaves:
    • Tea dust:
    • Total NRV = Rs. 4,200,000
  2. Allocate Joint Costs:

    • Tea leaves allocation:
    • Tea dust allocation:
  3. Calculate Profit per Product:

    • Tea leaves profit:
    • Tea dust profit:

3. Cost Allocation Methods Compared

Method Formula When to Use Example (Nepal)
Sales Value at Split-off Simple cases where products are sold immediately after split-off Paper mill: Paper + Cardboard
Physical Quantity When products have similar values Sugar mill: Sugar + Molasses
Net Realizable Value (NRV) When further processing is involved Tea factory: Tea leaves + Tea dust
Constant Gross Margin % Allocate costs to maintain a target profit margin Highly competitive markets Nepali textile industry: Fabric + Threads

4. By-Products: The "Scrap Value" Approach

Scenario: A flour mill in Kathmandu produces 10,000 kg of wheat flour and generates 500 kg of wheat bran (sold at Rs. 20/kg).

  • Total joint cost: Rs. 800,000

Step-by-Step Allocation

  1. Deduct By-Product Revenue from Joint Cost:

    • By-product revenue:
    • Adjusted joint cost for flour:
  2. Allocate Remaining Cost to Main Product:

    • Flour cost: Rs. 790,000 (since by-product is negligible).

5. Real-World Applications in Nepal

Example 1: Nepali Paper Industry (Joint Products)

  • Products: Newsprint, Cardboard, Waste Paper
  • Allocation Method: NRV (since cardboard and waste paper require further processing).
  • Why? Cardboard is sold at a lower price than newsprint, but both contribute to revenue.

Example 2: Tea Industry (Joint Products)

  • Products: High-grade tea leaves, Tea dust, Tea stems
  • Allocation Method: Physical Quantity (if tea dust and stems are sold in bulk) or NRV (if further processed into tea bags).
  • Why? Tea dust is often repackaged and sold at a premium, justifying NRV.

Example 3: Wheat Flour Mills (By-Products)

  • By-Product: Wheat bran (used as animal feed)
  • Treatment: Deduct from joint cost (since bran has minimal value).
  • Why? Bran is sold at a very low price (Rs. 20/kg), so it’s treated as scrap.

6. Advantages and Disadvantages of Joint/By-Product Accounting

Advantages

✅ Accurate Profit Measurement: Ensures no product is over/under-costed. ✅ Better Decision-Making: Helps in pricing and resource allocation. ✅ Tax Compliance: Follows accounting standards (e.g., IAS 2 for inventories). ✅ Waste Reduction: Encourages selling by-products (e.g., wheat bran as animal feed).

Disadvantages

❌ Complex Calculations: Requires multiple allocation methods. ❌ Subjectivity: NRV method depends on future sales estimates. ❌ Overhead Costs: Allocating joint costs may not reflect true profitability.


7. Worked Example: Nepali Sugar Mill (Joint Products)

Given:

  • Joint Cost: Rs. 5,000,000
  • Output:
    • Sugar: 50,000 kg (sold at Rs. 40/kg)
    • Molasses: 10,000 kg (sold at Rs. 10/kg)

Method: Sales Value at Split-off

  1. Calculate Total Sales Value:

    • Sugar:
    • Molasses:
    • Total = Rs. 2,100,000
  2. Allocate Joint Cost:

    • Sugar cost:
    • Molasses cost:
  3. Profit Calculation:

    • Sugar profit: ⚠️ Issue: This suggests sugar is unprofitable, which may not be true if further processing costs are ignored. Solution: Use NRV method instead.

Exam Tip: How to Score Full Marks

  1. Define Clearly:

    • Joint product = primary output with high sales value.
    • By-product = secondary output with low sales value.
  2. Show All Steps in Allocation:

    • Always write the formula and calculations (e.g., NRV method).
    • Example:
      | Product | Quantity (kg) | Selling Price (Rs/kg) | Total Sales Value (Rs.) |
      |---------|---------------|-----------------------|-------------------------|
      | Tea     | 8,000         | 500                   | 4,000,000               |
      | Dust    | 2,000         | 100                   | 200,000                 |
      | **Total** | **10,000**    |                       | **4,200,000**           |
      
  3. Compare Methods:

    • If asked, explain why NRV is better than physical quantity (e.g., "NRV accounts for further processing costs").
  4. Real-World Link:

    • Always relate to Nepali industries (tea, paper, sugar, flour).
    • Example answer starter:

      "In the Nepali tea industry, joint cost allocation using NRV ensures that high-value tea leaves are not underpriced while accounting for the revenue from tea dust."

  5. Common Mistakes to Avoid:

    • ❌ Ignoring further processing costs (if applicable).
    • ❌ Miscounting quantities (e.g., adding instead of dividing).
    • ❌ Forgetting to deduct by-product revenue from joint costs.

Final Checklist for Exam Questions

Question Type What to Include
Define joint/by-product Key differences in production intent, sales value, and cost treatment.
Cost allocation methods Formulas + worked example (show all steps).
Profitability analysis Calculate profit per product after allocation.
Real-world application Name a Nepali industry (tea, paper, sugar) and explain allocation method.

Visual Summary:

flowchart TD
    A["Joint Products"] --> B["Allocate Costs Using:<br/>1. Sales Value<br/>2. Physical Quantity<br/>3. NRV<br/>4. Constant GM%"]
    B --> C["Calculate Profit per Product"]
    C --> D["Decision:<br/>- Pricing<br/>- Resource Allocation<br/>- Tax Reporting"]
    E["By-Products"] --> F["Deduct Revenue from Joint Cost"]
    F --> G["Allocate Remaining Cost to Main Product"]

Based on the TU BBS syllabus for Cost and Management Accounting (MGT212), unit 11.

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