Topic: Cost-Volume-Profit (CVP) Analysis

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MA – Nov 2024 – L2 – Q5b – Profit Maximization and Batch Selection

Determination of the optimal number of printer batches to import and sell to maximize profit.

Awuah deals in online business, importing and selling printers. The cost of each set of printers varies depending on the number purchased, although printers can only be purchased in batches of 1,000 units. Awuah also has to pay import taxes which vary according to the quantity purchased. Awuah has already carried out some market research and identified that sales quantities are expected to vary depending on the price charged.

The following data has been established for the first month:

Number of Batches Imported and Sold Average Cost per Unit (Including Import Taxes) (GH¢) Total Fixed Costs per Month (GH¢) Expected Selling Price per Unit (GH¢)
1 10.00 10,000 20
2 8.80 10,000 18
3 7.80 12,000 16
4 6.40 12,000 13

Required:

Determine the number of batches of printers Awuah should import and sell to maximize profit.

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ICMA – Nov 2024 – L1 – Q3a – Value for Money (VFM)

Explains the components of Value for Money (VFM) in the public sector.

Value for Money (VFM)
Value for Money (VFM) is an objective that can be applied to any organization whose main objective is non-financial but has restrictions on the amount of finance available for spending, which the public sector is no exception.

Required:
Explain the components of VFM.

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FM – May 2015 – L2 – SB – Q3 – Cost-Volume-Profit (CVP) Analysis

Evaluate Pakex's investment proposal using Residual Income and ROCE, including alternative proposal analysis for decision-making.

Pakex is a division of an automobile group that has five years remaining on a leased premises in which it sells self-assembled motorcycles. The management is proposing an investment of ₦48 million on immediate improvements to the interior of the premises in order to stimulate sales by creating a more effective selling environment. The following information is available:

(i) The expected increase in revenue following the improvements is ₦40 million per annum. The average contribution to sales ratio is expected to be 40%.

(ii) The cost of capital is 16% and the division has a target Return on Capital Employed of 20% based on the net book value of the investment at the beginning of the year.

(iii) At the end of the five-year period, the premises improvements will have a NIL residual value.

(iv) The management staff turnover at Pakex division is high. The division’s investment decisions and management performance measurement are currently based on the figures for the first year of the proposal.

In addition to the above information, there is an alternative proposal that suggests a forecast of the increase in revenue per annum from the premises improvements as follows:

Year 1 2 3 4 5
Increase in Revenue 56 40 40 24 16

All other factors are expected to remain the same.

Required: a. Prepare a summary of the statement of the management’s investment proposal for years 1 to 5 showing Residual Income and Return on Capital Employed for each year using the straight-line depreciation method. (10 Marks)
b. Comment on the use of the figures from the Statement in (a) above as a decision-making and management performance measure. (4 Marks)
c. Calculate the Residual Income and Return on Capital Employed for year 1 using the alternative proposal. (6 Marks)

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PM – May 2015 – L2 – SA – Q1 – Cost-Volume-Profit (CVP) Analysis

Analyze Tadefo Limited's activity-based costing, discuss budgeting weaknesses, and describe the advantages of ABB and ZBB.

TADEFO LIMITED is a manufacturing company which produces and assembles car components. The company has two main production departments: Machining and Assembling. Each of the two departmental managers is responsible for producing annual budgets based on targets set by the management. From last year’s budget, TADEFO Limited hoped to turn an expected 10 percent rise in total revenue into a 20 percent increase in the company’s profits.

The following budgeted information relates to TADEFO Limited for the forthcoming period:

Products Information:

Products ACQ BEZ CFJ
Sales and production (units) 30,000 50,000 40,000
Selling price (per unit) (N) 73 45 95
Prime cost (per unit) (N) 65 32 84
Machine Dept. (hrs per unit) 4 2 5
Assembly Dept. (hrs per unit) 2 7 3

Overheads Re-Analyzed into Cost Pools:

Cost Pool Amount (N’000) Cost Driver Quantity for the period
Machine services 359 Machine hours 425,000
Assembly services 328 Direct labour hours 532,000
Set-up costs 36 Set-ups 720
Order processing 165 Customer orders 34,000
Purchasing 88 Supplier’s orders 12,400
Total Overheads 976

You have also been provided with the following estimates for the period:

ACQ BEZ CFJ
Number of set-ups 220 130 210
Customer orders 18,000 10,000 10,000
Suppliers’ orders 5,200 3,600 4,200

Required: a. Prepare and present a profit statement using activity-based costing. (14 Marks)
b. What would you consider to be the weaknesses of an incremental budgeting system for a company such as TADEFO Limited? (5 Marks)
c. Describe Activity-Based Budgeting (ABB) and comment on the advantages of its use by TADEFO Limited. (5 Marks)
d. Explain how the use of Zero-Based Budgeting (ZBB) can motivate employees. (3 Marks)
e. “Encouraging employee participation in budget setting is beneficial” Discuss. (3 Marks)

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PM – May 2021 – L2 – Q3 – Cost-Volume-Profit (CVP) Analysis

Forecast future sales using historical data and analyze which data period provides a better basis for forecasting.

Some time ago, Robert launched a new product. Initially, sales were strong, but recent figures have raised concerns. Robert seeks a more accurate sales forecast to create detailed cash projections. The sales data below illustrates an underlying trend derived from an averaging method:

Year Quarter Trend Point (x) Sales (Cartons) (y)
2016 3rd 1 10,000
2016 4th 2 10,760
2017 1st 3 10,920
2017 2nd 4 11,000
2017 3rd 5 11,050
2017 4th 6 11,080
2018 1st 7 11,085
2018 2nd 8 11,095
2018 3rd 9 11,120
2018 4th 10 11,130

On average, quarters 1 and 3 are 5% and 6% above the trend, respectively, while quarters 2 and 4 are 2% and 9% below it. Preliminary calculations for the 10 periods yield:

  • Linear Regression: y = a + bx
  • Slope: 82.67
  • Intercept: 10,472.33
  • Coefficient of determination: 0.535

Forecasting is needed for quarters 3 and 4 in 2019 and quarters 1 and 2 in 2020. There is a debate about using data from all 10 periods versus only the last 5. Analysis for the last five periods includes:

Results of last five periods‟ observations

(Note: y values are scaled down by 100 for ease of calculation.)

Required:
a. Forecast sales for the four quarters using the 10-period data. (8 Marks)
b. Prepare similar forecasts using the last five periods of data. (8 Marks)
c. Evaluate which data set provides the better forecast. (4 Marks)

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PM – Nov 2014 – L2 – Q5 – Cost-Volume-Profit (CVP) Analysis

Calculate break-even points for Colour-Effects Limited's products under various revenue mixes and sales scenarios.

Colour-Effects Limited retails two products: Common and Executive traveling bags. The budgeted income statement for year 2015 is as follows:

Required:

(a) Calculate the break-even units, assuming that the planned revenue mix is maintained. (3 Marks)

(b) Determine the break-even point in units if only Common bags are sold and if only the Executive bags are sold. (6 Marks)

(c) Calculate the budgeted operating profit and break-even point if 200,000 units are sold, but only 20,000 are Executive bags. (6 Marks)

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TAX – May 2024 – L2 – SA – Q4 – Cost-Volume-Profit (CVP) Analysis

Compute minimum tax liability for Pkikan Nigeria Ltd and discuss exemptions and basis.

Pkikan Nigeria Limited has been in business for several years and prepares accounts annually to December 31. The following data is available for the year ended December 31, 2021:

Description Amount (N’000)
Turnover 1,300
Cost of Sales (400)
Gross Profit 900
Less: Total Expenses (1,100)
Net Loss for the Year (200)

Additional information:

You were informed that:
(ii) After the review of the company‟s accounting records, N400,000 meant for the Managing Director of the company was erroneously included in the turnover for the year.
(iii) The issued share capital of the business was N1.8 million, out of which, the shareholders representing N300,000 are yet to pay the final call.
(iv) The net assets of the company was N850,000.
(v) There was a loss brought forward of N210,000 relating to the previous year ofassessment and the agreed capital allowance with the Revenue was N385,000.

Required:
a. Compute the minimum tax liability for the assessment year. (14 Marks)
b. Explain the reasons for calculating minimum tax liability. (3 Marks)
c. Identify companies exempt from minimum tax liability calculations. (3 Marks)

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PM – May 2024 – L2 – SC – Q7 – Cost-Volume-Profit (CVP) Analysis

Analysis of production constraints to determine optimal production levels and profit maximization using contribution analysis.

Jumbo Tailors Nigeria Limited manufactures three unique wears for which the maximum revenue for the coming year is estimated as follows:

Product Estimated Revenue (₦)
Trousers 8,250,000
Jackets 9,880,000
Skirts 12,390,000

Summarized unit cost data are as follows:

Product Direct Material (₦) Direct Labour (₦) Variable Costs (₦) Fixed Costs (₦)
Trousers 1,000 500 800 250
Jackets 900 450 1,600 500
Skirts 700 350 1,000 400

The allocation of fixed costs was derived from last year’s production level and may be reviewed if current output plans differ.

Estimated Selling Prices:

  • Trousers: ₦3,300
  • Jackets: ₦3,800
  • Skirts: ₦2,950

The products are processed on sewing machines housed in three blocks. Block A contains type I machines, with an estimated maximum machine hour capacity of 39,200 hours and a fixed overhead cost of ₦1,960,000 per annum. Block B contains type II machines, with 20,000 machine hours available and a fixed overhead cost of ₦1,500,000 per annum. Block C also contains type II machines, with 16,000 machine hours available and a fixed overhead cost of ₦740,000 per annum.

The required machine hours per unit of output for each product on each machine type are as follows:

Product Type I Machine (hours) Type II Machine (hours)
Trousers 2 3
Jackets 4 6
Skirts 6 2

Required:
a. Determine the optimal production plan which Jumbo Tailors Nigeria Limited should adopt. (12 Marks)
b. Calculate the total profit that would be made if the production plan in (a) above is adopted. (3 Marks)

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PM – May 2022 – L2 – SA – Q5 – Cost-Volume-Profit (CVP) Analysis

Analysis of Abayomi Plc's financial data to determine break-even sales and evaluate budget adjustments.

Abayomi Plc produces and sells two major products, A and B. The budgeted income statement for the year to December 31, 2022 is given below:

The budgeted selling prices of the products are:

  • A: ₦120
  • B: ₦180

Required:
a. Determine the breakeven sales in units for each of the products, using the budgeted data. (6 Marks)

Now assume that the following changes are made to the budget:
(i) Unit selling price of product B is reduced to ₦160.
(ii) Direct material cost is expected to drop by 10% for product A and 20% for product B.
(iii) Direct labour costs for each product will increase by 10%.
(iv) Additional ₦456,000 will be spent on advertising.
(v) 80% of total revenue will be derived from product B.

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PM – Nov 2020 – L2 – Q1 – Decision-Making Techniques

Analyze two sales proposals for production volumes and a third scenario reflecting the closure of the factory.

Adeco Nigeria plc is a large and diversified company with several factories. One of its factories that produces “Apex” has not been able to meet its sales target for over two years. The board has mandated the company’s management to take a decisive step on what to do with the factory.

The management, therefore, set up a committee of three—the factory manager, marketing manager, and the management accountant—to analyze the situation and come up with a report on what the management should do. The marketing manager submitted two proposals to the committee, which are:

  • Proposal 1: A sales volume of 25,000 units can be achieved with a selling price of ₦13.50 per unit and an advertising campaign costing ₦37,500.
  • Proposal 2: A sales volume of 35,000 units can be achieved at a selling price of ₦11.25 per unit with an advertising campaign costing ₦52,500.

The management accountant is to work on these proposals with the information provided by the factory manager and come up with calculations to help the committee know which of the proposals to recommend to management. The management accountant is also required to prepare a third scenario that would reflect the factory’s closure.

The factory manager provided the following information:

Budgeted Sales and Production of Apex (Units) 50,000
Sales ₦750.0
Less production costs:
Material A – 1 kg per unit ₦75.0
Material B – 1 litre per unit ₦37.5
Labour – 1 hour per unit ₦187.5
Variable overhead ₦150.0
Fixed overhead ₦75.0
Non-production costs ₦75.0
Total cost ₦600.0
Budgeted profit ₦150.0

The following additional information has also been made available:

(i) There are 50,000 kg of material A in inventory. This originally cost ₦1.5 per
kg.
Material A has no other use and unless it is used by the division, it would have
to be disposed off at a cost of ₦750 for every 5,000 kg.

(ii) There are 30,000 litres of material B in inventory. Any unused material can be
used by another department to substitute for an equivalent amount of a
material, which currently costs ₦1.875 per litre. The original cost of material B
was ₦0.75 per litre and it can be replaced at a cost of ₦2.25 per litre.

(iii) All production labour hours are paid on an hourly basis. Rumours of the
closure of the department have led to a large proportion of the department‟s
employees leaving the organisation. Uncertainty over its closure has also
resulted in management not replacing these employees. The department is
therefore short of labour hours but has sufficient man hour to produce 25,000
units. Output in excess of 25,000 units would require the department to hire
contract labour at a cost of ₦5.625 per hour. If the department is shut down,
the present labour force will be deployed within the organisation.

(iv) Included in the variable overhead is the depreciation of the only machine
used in the department. The original cost of the machine was ₦300,000 and it
is estimated to have a life span of 10 years. Depreciation is calculated on a
straight-line basis. The machine has a current resale value of ₦37,500. If the
machinery is used for production, it is estimated that the resale value of the
machinery will fall at the rate of ₦150 per 1,000 units produced. All other
costs included in variable overhead vary with the number of units produced

(v) Included in the fixed production overhead is the salary of the factory manager
which amounts to ₦30,000. If the department were to shut down, the
manager would be made redundant with a redundancy pay of ₦37,500. All
other costs included in the fixed production overhead are general factory
overheads and will not be affected by any decision concerning the factory.
(vi) The non-production cost charged to the factory is an apportionment of the
total on-production costs incurred by the factory.
The committee will be meeting in a week‟s time to prepare its report to the
management on what course of action the management should take, either one of
the marketing manager‟s proposals or to close down the factory.
Required:

As the management accountant of Adeco Plc, you are to:
a. Prepare detail calculations to support the committee‟s recommendation to
the management whether to:
i. reduce production to 25,000 units
ii. reduce production to 35,000 units
iii. shut down the factory. (20 Marks)
b. A customer has just placed a special order for 25,000 of Apex and the
customer is willing to pay ₦12.00 per unit. Advise management whether to
accept or reject the order. Assume that for any shortfall in material “A”
required to produce the order, it can be bought at a price of ₦2.00 per kg.
(10 Marks)
c. Discuss the management accounting techniques and principles that a
management accountant will apply in preparing calculations to support
management decision in such a circumstance as above. (10 Marks)

 

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MA – Nov 2024 – L2 – Q5b – Profit Maximization and Batch Selection

Determination of the optimal number of printer batches to import and sell to maximize profit.

Awuah deals in online business, importing and selling printers. The cost of each set of printers varies depending on the number purchased, although printers can only be purchased in batches of 1,000 units. Awuah also has to pay import taxes which vary according to the quantity purchased. Awuah has already carried out some market research and identified that sales quantities are expected to vary depending on the price charged.

The following data has been established for the first month:

Number of Batches Imported and Sold Average Cost per Unit (Including Import Taxes) (GH¢) Total Fixed Costs per Month (GH¢) Expected Selling Price per Unit (GH¢)
1 10.00 10,000 20
2 8.80 10,000 18
3 7.80 12,000 16
4 6.40 12,000 13

Required:

Determine the number of batches of printers Awuah should import and sell to maximize profit.

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ICMA – Nov 2024 – L1 – Q3a – Value for Money (VFM)

Explains the components of Value for Money (VFM) in the public sector.

Value for Money (VFM)
Value for Money (VFM) is an objective that can be applied to any organization whose main objective is non-financial but has restrictions on the amount of finance available for spending, which the public sector is no exception.

Required:
Explain the components of VFM.

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FM – May 2015 – L2 – SB – Q3 – Cost-Volume-Profit (CVP) Analysis

Evaluate Pakex's investment proposal using Residual Income and ROCE, including alternative proposal analysis for decision-making.

Pakex is a division of an automobile group that has five years remaining on a leased premises in which it sells self-assembled motorcycles. The management is proposing an investment of ₦48 million on immediate improvements to the interior of the premises in order to stimulate sales by creating a more effective selling environment. The following information is available:

(i) The expected increase in revenue following the improvements is ₦40 million per annum. The average contribution to sales ratio is expected to be 40%.

(ii) The cost of capital is 16% and the division has a target Return on Capital Employed of 20% based on the net book value of the investment at the beginning of the year.

(iii) At the end of the five-year period, the premises improvements will have a NIL residual value.

(iv) The management staff turnover at Pakex division is high. The division’s investment decisions and management performance measurement are currently based on the figures for the first year of the proposal.

In addition to the above information, there is an alternative proposal that suggests a forecast of the increase in revenue per annum from the premises improvements as follows:

Year 1 2 3 4 5
Increase in Revenue 56 40 40 24 16

All other factors are expected to remain the same.

Required: a. Prepare a summary of the statement of the management’s investment proposal for years 1 to 5 showing Residual Income and Return on Capital Employed for each year using the straight-line depreciation method. (10 Marks)
b. Comment on the use of the figures from the Statement in (a) above as a decision-making and management performance measure. (4 Marks)
c. Calculate the Residual Income and Return on Capital Employed for year 1 using the alternative proposal. (6 Marks)

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PM – May 2015 – L2 – SA – Q1 – Cost-Volume-Profit (CVP) Analysis

Analyze Tadefo Limited's activity-based costing, discuss budgeting weaknesses, and describe the advantages of ABB and ZBB.

TADEFO LIMITED is a manufacturing company which produces and assembles car components. The company has two main production departments: Machining and Assembling. Each of the two departmental managers is responsible for producing annual budgets based on targets set by the management. From last year’s budget, TADEFO Limited hoped to turn an expected 10 percent rise in total revenue into a 20 percent increase in the company’s profits.

The following budgeted information relates to TADEFO Limited for the forthcoming period:

Products Information:

Products ACQ BEZ CFJ
Sales and production (units) 30,000 50,000 40,000
Selling price (per unit) (N) 73 45 95
Prime cost (per unit) (N) 65 32 84
Machine Dept. (hrs per unit) 4 2 5
Assembly Dept. (hrs per unit) 2 7 3

Overheads Re-Analyzed into Cost Pools:

Cost Pool Amount (N’000) Cost Driver Quantity for the period
Machine services 359 Machine hours 425,000
Assembly services 328 Direct labour hours 532,000
Set-up costs 36 Set-ups 720
Order processing 165 Customer orders 34,000
Purchasing 88 Supplier’s orders 12,400
Total Overheads 976

You have also been provided with the following estimates for the period:

ACQ BEZ CFJ
Number of set-ups 220 130 210
Customer orders 18,000 10,000 10,000
Suppliers’ orders 5,200 3,600 4,200

Required: a. Prepare and present a profit statement using activity-based costing. (14 Marks)
b. What would you consider to be the weaknesses of an incremental budgeting system for a company such as TADEFO Limited? (5 Marks)
c. Describe Activity-Based Budgeting (ABB) and comment on the advantages of its use by TADEFO Limited. (5 Marks)
d. Explain how the use of Zero-Based Budgeting (ZBB) can motivate employees. (3 Marks)
e. “Encouraging employee participation in budget setting is beneficial” Discuss. (3 Marks)

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PM – May 2021 – L2 – Q3 – Cost-Volume-Profit (CVP) Analysis

Forecast future sales using historical data and analyze which data period provides a better basis for forecasting.

Some time ago, Robert launched a new product. Initially, sales were strong, but recent figures have raised concerns. Robert seeks a more accurate sales forecast to create detailed cash projections. The sales data below illustrates an underlying trend derived from an averaging method:

Year Quarter Trend Point (x) Sales (Cartons) (y)
2016 3rd 1 10,000
2016 4th 2 10,760
2017 1st 3 10,920
2017 2nd 4 11,000
2017 3rd 5 11,050
2017 4th 6 11,080
2018 1st 7 11,085
2018 2nd 8 11,095
2018 3rd 9 11,120
2018 4th 10 11,130

On average, quarters 1 and 3 are 5% and 6% above the trend, respectively, while quarters 2 and 4 are 2% and 9% below it. Preliminary calculations for the 10 periods yield:

  • Linear Regression: y = a + bx
  • Slope: 82.67
  • Intercept: 10,472.33
  • Coefficient of determination: 0.535

Forecasting is needed for quarters 3 and 4 in 2019 and quarters 1 and 2 in 2020. There is a debate about using data from all 10 periods versus only the last 5. Analysis for the last five periods includes:

Results of last five periods‟ observations

(Note: y values are scaled down by 100 for ease of calculation.)

Required:
a. Forecast sales for the four quarters using the 10-period data. (8 Marks)
b. Prepare similar forecasts using the last five periods of data. (8 Marks)
c. Evaluate which data set provides the better forecast. (4 Marks)

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PM – Nov 2014 – L2 – Q5 – Cost-Volume-Profit (CVP) Analysis

Calculate break-even points for Colour-Effects Limited's products under various revenue mixes and sales scenarios.

Colour-Effects Limited retails two products: Common and Executive traveling bags. The budgeted income statement for year 2015 is as follows:

Required:

(a) Calculate the break-even units, assuming that the planned revenue mix is maintained. (3 Marks)

(b) Determine the break-even point in units if only Common bags are sold and if only the Executive bags are sold. (6 Marks)

(c) Calculate the budgeted operating profit and break-even point if 200,000 units are sold, but only 20,000 are Executive bags. (6 Marks)

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TAX – May 2024 – L2 – SA – Q4 – Cost-Volume-Profit (CVP) Analysis

Compute minimum tax liability for Pkikan Nigeria Ltd and discuss exemptions and basis.

Pkikan Nigeria Limited has been in business for several years and prepares accounts annually to December 31. The following data is available for the year ended December 31, 2021:

Description Amount (N’000)
Turnover 1,300
Cost of Sales (400)
Gross Profit 900
Less: Total Expenses (1,100)
Net Loss for the Year (200)

Additional information:

You were informed that:
(ii) After the review of the company‟s accounting records, N400,000 meant for the Managing Director of the company was erroneously included in the turnover for the year.
(iii) The issued share capital of the business was N1.8 million, out of which, the shareholders representing N300,000 are yet to pay the final call.
(iv) The net assets of the company was N850,000.
(v) There was a loss brought forward of N210,000 relating to the previous year ofassessment and the agreed capital allowance with the Revenue was N385,000.

Required:
a. Compute the minimum tax liability for the assessment year. (14 Marks)
b. Explain the reasons for calculating minimum tax liability. (3 Marks)
c. Identify companies exempt from minimum tax liability calculations. (3 Marks)

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PM – May 2024 – L2 – SC – Q7 – Cost-Volume-Profit (CVP) Analysis

Analysis of production constraints to determine optimal production levels and profit maximization using contribution analysis.

Jumbo Tailors Nigeria Limited manufactures three unique wears for which the maximum revenue for the coming year is estimated as follows:

Product Estimated Revenue (₦)
Trousers 8,250,000
Jackets 9,880,000
Skirts 12,390,000

Summarized unit cost data are as follows:

Product Direct Material (₦) Direct Labour (₦) Variable Costs (₦) Fixed Costs (₦)
Trousers 1,000 500 800 250
Jackets 900 450 1,600 500
Skirts 700 350 1,000 400

The allocation of fixed costs was derived from last year’s production level and may be reviewed if current output plans differ.

Estimated Selling Prices:

  • Trousers: ₦3,300
  • Jackets: ₦3,800
  • Skirts: ₦2,950

The products are processed on sewing machines housed in three blocks. Block A contains type I machines, with an estimated maximum machine hour capacity of 39,200 hours and a fixed overhead cost of ₦1,960,000 per annum. Block B contains type II machines, with 20,000 machine hours available and a fixed overhead cost of ₦1,500,000 per annum. Block C also contains type II machines, with 16,000 machine hours available and a fixed overhead cost of ₦740,000 per annum.

The required machine hours per unit of output for each product on each machine type are as follows:

Product Type I Machine (hours) Type II Machine (hours)
Trousers 2 3
Jackets 4 6
Skirts 6 2

Required:
a. Determine the optimal production plan which Jumbo Tailors Nigeria Limited should adopt. (12 Marks)
b. Calculate the total profit that would be made if the production plan in (a) above is adopted. (3 Marks)

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PM – May 2022 – L2 – SA – Q5 – Cost-Volume-Profit (CVP) Analysis

Analysis of Abayomi Plc's financial data to determine break-even sales and evaluate budget adjustments.

Abayomi Plc produces and sells two major products, A and B. The budgeted income statement for the year to December 31, 2022 is given below:

The budgeted selling prices of the products are:

  • A: ₦120
  • B: ₦180

Required:
a. Determine the breakeven sales in units for each of the products, using the budgeted data. (6 Marks)

Now assume that the following changes are made to the budget:
(i) Unit selling price of product B is reduced to ₦160.
(ii) Direct material cost is expected to drop by 10% for product A and 20% for product B.
(iii) Direct labour costs for each product will increase by 10%.
(iv) Additional ₦456,000 will be spent on advertising.
(v) 80% of total revenue will be derived from product B.

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PM – Nov 2020 – L2 – Q1 – Decision-Making Techniques

Analyze two sales proposals for production volumes and a third scenario reflecting the closure of the factory.

Adeco Nigeria plc is a large and diversified company with several factories. One of its factories that produces “Apex” has not been able to meet its sales target for over two years. The board has mandated the company’s management to take a decisive step on what to do with the factory.

The management, therefore, set up a committee of three—the factory manager, marketing manager, and the management accountant—to analyze the situation and come up with a report on what the management should do. The marketing manager submitted two proposals to the committee, which are:

  • Proposal 1: A sales volume of 25,000 units can be achieved with a selling price of ₦13.50 per unit and an advertising campaign costing ₦37,500.
  • Proposal 2: A sales volume of 35,000 units can be achieved at a selling price of ₦11.25 per unit with an advertising campaign costing ₦52,500.

The management accountant is to work on these proposals with the information provided by the factory manager and come up with calculations to help the committee know which of the proposals to recommend to management. The management accountant is also required to prepare a third scenario that would reflect the factory’s closure.

The factory manager provided the following information:

Budgeted Sales and Production of Apex (Units) 50,000
Sales ₦750.0
Less production costs:
Material A – 1 kg per unit ₦75.0
Material B – 1 litre per unit ₦37.5
Labour – 1 hour per unit ₦187.5
Variable overhead ₦150.0
Fixed overhead ₦75.0
Non-production costs ₦75.0
Total cost ₦600.0
Budgeted profit ₦150.0

The following additional information has also been made available:

(i) There are 50,000 kg of material A in inventory. This originally cost ₦1.5 per
kg.
Material A has no other use and unless it is used by the division, it would have
to be disposed off at a cost of ₦750 for every 5,000 kg.

(ii) There are 30,000 litres of material B in inventory. Any unused material can be
used by another department to substitute for an equivalent amount of a
material, which currently costs ₦1.875 per litre. The original cost of material B
was ₦0.75 per litre and it can be replaced at a cost of ₦2.25 per litre.

(iii) All production labour hours are paid on an hourly basis. Rumours of the
closure of the department have led to a large proportion of the department‟s
employees leaving the organisation. Uncertainty over its closure has also
resulted in management not replacing these employees. The department is
therefore short of labour hours but has sufficient man hour to produce 25,000
units. Output in excess of 25,000 units would require the department to hire
contract labour at a cost of ₦5.625 per hour. If the department is shut down,
the present labour force will be deployed within the organisation.

(iv) Included in the variable overhead is the depreciation of the only machine
used in the department. The original cost of the machine was ₦300,000 and it
is estimated to have a life span of 10 years. Depreciation is calculated on a
straight-line basis. The machine has a current resale value of ₦37,500. If the
machinery is used for production, it is estimated that the resale value of the
machinery will fall at the rate of ₦150 per 1,000 units produced. All other
costs included in variable overhead vary with the number of units produced

(v) Included in the fixed production overhead is the salary of the factory manager
which amounts to ₦30,000. If the department were to shut down, the
manager would be made redundant with a redundancy pay of ₦37,500. All
other costs included in the fixed production overhead are general factory
overheads and will not be affected by any decision concerning the factory.
(vi) The non-production cost charged to the factory is an apportionment of the
total on-production costs incurred by the factory.
The committee will be meeting in a week‟s time to prepare its report to the
management on what course of action the management should take, either one of
the marketing manager‟s proposals or to close down the factory.
Required:

As the management accountant of Adeco Plc, you are to:
a. Prepare detail calculations to support the committee‟s recommendation to
the management whether to:
i. reduce production to 25,000 units
ii. reduce production to 35,000 units
iii. shut down the factory. (20 Marks)
b. A customer has just placed a special order for 25,000 of Apex and the
customer is willing to pay ₦12.00 per unit. Advise management whether to
accept or reject the order. Assume that for any shortfall in material “A”
required to produce the order, it can be bought at a price of ₦2.00 per kg.
(10 Marks)
c. Discuss the management accounting techniques and principles that a
management accountant will apply in preparing calculations to support
management decision in such a circumstance as above. (10 Marks)

 

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