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To what extent is Mutale justified in seeking a reappraisal of the situation. (25 marks)

Accounting

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Step-by-step solution

3 steps

To determine if Mutale is justified in seeking a reappraisal, we need to analyze the contribution margin and fixed costs for each product.

  1. Calculate Variable Costs

    Given:

    • Factory overheads are allocated at 100% of direct labour cost.
    • Fixed factory overheads and selling/admin expenses are provided.

    Product A:

    • Labour: K11,000
    • Factory Overheads: K11,000
    • Fixed Factory Overheads: K3,000
    • Variable Factory Overheads: 11,000−3,000=8,00011,000 - 3,000 = 8,000
    • Selling/Admin Expenses: K20,000
    • Fixed Selling/Admin Expenses: K15,000
    • Variable Selling/Admin Expenses: 20,000−15,000=5,00020,000 - 15,000 = 5,000

    Product B:

    • Labour: K4,000
    • Factory Overheads: K4,000
    • Fixed Factory Overheads: K1,000
    • Variable Factory Overheads: 4,000−1,000=3,0004,000 - 1,000 = 3,000
    • Selling/Admin Expenses: K8,000
    • Fixed Selling/Admin Expenses: K6,000
    • Variable Selling/Admin Expenses: 8,000−6,000=2,0008,000 - 6,000 = 2,000

    Product C:

    • Labour: K5,000
    • Factory Overheads: K5,000
    • Fixed Factory Overheads: K1,000
    • Variable Factory Overheads: 5,000−1,000=4,0005,000 - 1,000 = 4,000
    • Selling/Admin Expenses: K7,000
    • Fixed Selling/Admin Expenses: K4,000
    • Variable Selling/Admin Expenses: 7,000−4,000=3,0007,000 - 4,000 = 3,000
  2. Calculate Contribution Margin

    Product A:

    • Gross Margin: K28,000
    • Total Variable Costs: 11,000+8,000+5,000=24,00011,000 + 8,000 + 5,000 = 24,000
    • Contribution Margin: 28,000−24,000=4,00028,000 - 24,000 = 4,000

    Product B:

    • Gross Margin: K5,000
    • Total Variable Costs: 4,000+3,000+2,000=9,0004,000 + 3,000 + 2,000 = 9,000
    • Contribution Margin: 5,000−9,000=−4,0005,000 - 9,000 = -4,000

    Product C:

    • Gross Margin: K12,000
    • Total Variable Costs: 5,000+4,000+3,000=12,0005,000 + 4,000 + 3,000 = 12,000
    • Contribution Margin: 12,000−12,000=012,000 - 12,000 = 0
  3. Evaluate the Situation

    • Product A has a positive contribution margin of K4,000.
    • Product B has a negative contribution margin of K-4,000, indicating it is not covering its variable costs.
    • Product C breaks even with a contribution margin of K0.

    Conclusion:

    Mutale is justified in seeking a reappraisal, especially for Product B, which is not contributing positively to covering fixed costs. Eliminating or restructuring Product B could improve overall profitability. A detailed analysis of fixed costs and potential restructuring of Product B is recommended.

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