Question Tag: Total Cost

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QTB – May 2016 – L1 – SB – Q5a – Mathematics

This question involves finding the total cost function and the cost of producing 50 items using marginal cost and integration.

The marginal cost of producing a particular item is given by

Required:
i. Find the total cost function C(q), if the cost of producing 2 items is N1,660.
(7 marks)

ii. Find the cost of producing 50 items.

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QTB – Nov 2015 – L1 – SB – Q2c – Mathematics of Business Finance

Find the level of output at which profit is maximized using given revenue and cost functions.

Given that the Total Revenue (TR) function is:

a

and the Total Cost (TC) function is:

Determine the level of output at which profit is maximized. (6 Marks)

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MI – May 2024 – L1 – SA – Q6 – Costing Techniques

Calculates the fixed cost based on total cost and activity levels.

The following data were extracted from UVW Limited for a single product V: Activity (units) Total Cost (N) 144,000 3,624,000 842,000 12,000,000 Calculate the value of fixed cost.

A. N8,376,000
B. N6,200,000
C. N3,264,000
D. N1,896,500
E. N1,896,000

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QT – May 2017 – L1 – Q3b – Elements of Calculus

Use integration to calculate total cost from a marginal cost function with a given fixed cost.

At the Zee manufacturing company, the marginal cost for producing x gears, measured in hundreds, is:

If the fixed cost (the cost of producing zero items) is GH¢3000:

Required:

Determine the total cost for manufacturing 5000 gears.
(11 marks)

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IMAC – DEC 2022 – L1 – Q1 – Budgeting | Marginal Costing and Absorption Costing

Features of a service, calculation of overhead absorption rates and production cost, addressing negative cash balances, and preparation of a flexible budget.

a) Services are the non-physical, intangible parts of the Ghanaian economy, as opposed to goods, which we can touch or handle. Services, such as banking, education, medical treatment, and transportation make up a significant percentage of the economy.

Required: State and explain THREE (3) features of a service. (6 marks)

b) Edwin Ltd manufactures aviation components and parts to order, and the following are budgeted overheads for the year based on normal activity levels:

Department Budgeted overhead Labour hours
Welding GH¢12,000 3,000
Assembly GH¢20,000 2,000

Selling and administration overheads are 25% of factory cost.

An order for 350 units of engine parts, Job X 01, incurred the following cost:

  • Material cost: GH¢24,000
  • Labour:
    • Welding: 200 hours @ GH¢5 per hour
    • Assembly: 400 hours @ GH¢2 per hour
  • GH¢1,000 was paid for the hiring of a special x-ray machine for testing the welds.

Required: i) Calculate the overhead absorption rate for each department. (2 marks)

ii) Calculate the production cost for Job X01. (10 marks)

iii) Calculate the total cost of Job X01. (2 marks)

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QTB – May 2016 – L1 – SB – Q5a – Mathematics

This question involves finding the total cost function and the cost of producing 50 items using marginal cost and integration.

The marginal cost of producing a particular item is given by

Required:
i. Find the total cost function C(q), if the cost of producing 2 items is N1,660.
(7 marks)

ii. Find the cost of producing 50 items.

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QTB – Nov 2015 – L1 – SB – Q2c – Mathematics of Business Finance

Find the level of output at which profit is maximized using given revenue and cost functions.

Given that the Total Revenue (TR) function is:

a

and the Total Cost (TC) function is:

Determine the level of output at which profit is maximized. (6 Marks)

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MI – May 2024 – L1 – SA – Q6 – Costing Techniques

Calculates the fixed cost based on total cost and activity levels.

The following data were extracted from UVW Limited for a single product V: Activity (units) Total Cost (N) 144,000 3,624,000 842,000 12,000,000 Calculate the value of fixed cost.

A. N8,376,000
B. N6,200,000
C. N3,264,000
D. N1,896,500
E. N1,896,000

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QT – May 2017 – L1 – Q3b – Elements of Calculus

Use integration to calculate total cost from a marginal cost function with a given fixed cost.

At the Zee manufacturing company, the marginal cost for producing x gears, measured in hundreds, is:

If the fixed cost (the cost of producing zero items) is GH¢3000:

Required:

Determine the total cost for manufacturing 5000 gears.
(11 marks)

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IMAC – DEC 2022 – L1 – Q1 – Budgeting | Marginal Costing and Absorption Costing

Features of a service, calculation of overhead absorption rates and production cost, addressing negative cash balances, and preparation of a flexible budget.

a) Services are the non-physical, intangible parts of the Ghanaian economy, as opposed to goods, which we can touch or handle. Services, such as banking, education, medical treatment, and transportation make up a significant percentage of the economy.

Required: State and explain THREE (3) features of a service. (6 marks)

b) Edwin Ltd manufactures aviation components and parts to order, and the following are budgeted overheads for the year based on normal activity levels:

Department Budgeted overhead Labour hours
Welding GH¢12,000 3,000
Assembly GH¢20,000 2,000

Selling and administration overheads are 25% of factory cost.

An order for 350 units of engine parts, Job X 01, incurred the following cost:

  • Material cost: GH¢24,000
  • Labour:
    • Welding: 200 hours @ GH¢5 per hour
    • Assembly: 400 hours @ GH¢2 per hour
  • GH¢1,000 was paid for the hiring of a special x-ray machine for testing the welds.

Required: i) Calculate the overhead absorption rate for each department. (2 marks)

ii) Calculate the production cost for Job X01. (10 marks)

iii) Calculate the total cost of Job X01. (2 marks)

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