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IMAC – MAR 2024 – L1 – Q1 – Cost and Cost Behaviour

Calculate total cost, unit cost, and profit per unit for a batch of 5,000 units and determine real fixed and variable costs after adjusting for inflation.

a) Atimbila Ltd manufactures a product that goes through various workshops. The following budgeted overheads for the year 2023, based on normal activity levels, have been provided:

Workshop Budgeted Overheads (GH¢) Overhead Absorption Base
Forming 360,000 30,000 labour hours
Machining 860,000 50,000 machine hours
Welding 400,000 36,000 labour hours
Assembly 300,000 20,000 labour hours

Selling and administrative overheads are 25% of factory cost.

An order for 5,000 units of the product (Batch 3391) incurred the following costs on 31 August 2023:

  • Materials: GH¢62,140
  • Labour:
    • 1,280 hours forming shop at GH¢10.50 per hour
    • 4,520 hours machining shop at GH¢11 per hour
    • 900 hours welding shop at GH¢10.50 per hour
    • 1,750 hours assembly shop at GH¢9.60 per hour
  • An amount of GH¢1,050 was paid for the hire of a special X-ray equipment for testing the welds. The time booking in the machine shop was 6,430 machine hours. Selling price was GH¢150 per product.

Required:
i) Compute the total cost of the batch. (10 marks)
ii) Calculate the unit cost per product. (1 mark)
iii) Determine the profit per product. (1 mark)

b) The following cost and production data relates to the operations of Mawuga Ltd over a two-year period:

Year Production (units) Total Costs (GH¢)
2022 50,000 1,700,000
2023 54,000 1,835,400

Between 2022 and 2023, there has been a 5% cost inflation.

Required:
i) Calculate the real fixed and variable costs. (6 marks)
ii) Estimate what the total costs will be in 2024 if it is expected that there will be 4% cost inflation and output will be 56,000 units. (2 marks)

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IMAC – MAR 2024 – L1 – Q1 – Cost and Cost Behaviour

Calculate total cost, unit cost, and profit per unit for a batch of 5,000 units and determine real fixed and variable costs after adjusting for inflation.

a) Atimbila Ltd manufactures a product that goes through various workshops. The following budgeted overheads for the year 2023, based on normal activity levels, have been provided:

Workshop Budgeted Overheads (GH¢) Overhead Absorption Base
Forming 360,000 30,000 labour hours
Machining 860,000 50,000 machine hours
Welding 400,000 36,000 labour hours
Assembly 300,000 20,000 labour hours

Selling and administrative overheads are 25% of factory cost.

An order for 5,000 units of the product (Batch 3391) incurred the following costs on 31 August 2023:

  • Materials: GH¢62,140
  • Labour:
    • 1,280 hours forming shop at GH¢10.50 per hour
    • 4,520 hours machining shop at GH¢11 per hour
    • 900 hours welding shop at GH¢10.50 per hour
    • 1,750 hours assembly shop at GH¢9.60 per hour
  • An amount of GH¢1,050 was paid for the hire of a special X-ray equipment for testing the welds. The time booking in the machine shop was 6,430 machine hours. Selling price was GH¢150 per product.

Required:
i) Compute the total cost of the batch. (10 marks)
ii) Calculate the unit cost per product. (1 mark)
iii) Determine the profit per product. (1 mark)

b) The following cost and production data relates to the operations of Mawuga Ltd over a two-year period:

Year Production (units) Total Costs (GH¢)
2022 50,000 1,700,000
2023 54,000 1,835,400

Between 2022 and 2023, there has been a 5% cost inflation.

Required:
i) Calculate the real fixed and variable costs. (6 marks)
ii) Estimate what the total costs will be in 2024 if it is expected that there will be 4% cost inflation and output will be 56,000 units. (2 marks)

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