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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MI – May 2016 – L1 – SA – Q9 – Cost-Volume-Profit (CVP) Analysis

Calculate the contribution/sales ratio given the budgeted sales and costs.

A company budgets to sell 55,000 units of its products at N40 per unit for a variable cost of N15. If the fixed cost for the period is expected to be N340,000, then the contribution/sales ratio is:

A. 60.5
B. 61.5
C. 62.5
D. 63.5
E. 64.5

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MI – May 2016 – L1 – SA – Q4 – Cost-Volume-Profit (CVP) Analysis

Identify the conditions under which total contributions equal units sold multiplied by contribution per unit.

The formula which states that total contributions equal units of sales multiplied by contribution per unit is correct if the selling price:

A. And fixed cost are constant
B. And variable cost are constant
C. Varies and variable cost is constant
D. Varies and fixed cost is constant
E. And variable cost vary

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MI – May 2015 – L1 – SA – Q4 – Cost-Volume-Profit Analysis

Determine the total profit based on the data provided.

What is the total profit?
A. N1,500
B. N1,875
C. N3,000
D. N3,500
E. N4,150

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MI – May 2015 – L1 – SA – Q3 – Cost-Volume-Profit (CVP) Analysis

Calculate the variable cost per unit based on the given dat

The variable cost per unit is
A. N8.00
B. N7.50
C. N6.25
D. N5.50
E. N5.00

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MA – Nov 2017 – L2 – Q4 – Cost-volume-profit (CVP) analysis

Analyze the profit statement for two complementary products and evaluate the impact of various proposals on profit optimization.

Zumah Ltd manufactures and sells two complementary products: Hyline and Glycerin in the ratio 3:2. The result for the just ended period showed the following:

Product Hyline Glycerin
Selling price (GH¢) 20 15
Contribution/sales ratio 60% 40%
Profit/ (loss) (GH¢) 97,200 (3,600)

Joint fixed costs of GH¢180,000 are apportioned in proportion to the number of units of each product sold.

The company is in the process of preparing the budget for the coming year and is desirous of improving the performance of Glycerin. Therefore, the following proposals are being considered for implementation:

  1. Increase the price of Glycerin by 25% in expectation that the quantity demanded will reduce by 10%; or
  2. Retool the production process, which will result in a reduction of joint fixed costs by 15% and an increase in variable costs of each product by 10%; or
  3. Introduce proposals 1 and 2.

Required:

a) Determine the units of each product sold, and hence, prepare the profit statement for the just ended period.
b) Advise the management of Zumah Ltd as to which proposal to implement with a view to optimizing profits.

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MA – Nov 2018 – L2 – Q4 – Cost-volume-profit (CVP) analysis

Calculation and analysis of price discrimination strategy and its impact on contribution and profit.

Oliso Ltd manufactures and sells an executive game for two distinct markets in which it currently has a monopoly. The fixed costs of production per month are GH¢20,000, and variable costs per unit produced, and sold, are GH¢40. The monthly sales can be thought of as X, where X = X1 + X2, with X1 and X2 denoting monthly sales in their respective markets. Detailed market research has revealed the demand functions in the markets are to be as follows, with prices shown as P1 and P2:

  • Market 1: P1 = 55 − 0.05X1
  • Market 2: P2 = 200 − 0.2X2

The price is currently GH¢50 per game in both markets, and the Management Accountant believes there should be price discrimination.

Required:

a) Explain the term ‘price-discrimination’ and explain THREE (3) conditions that are necessary for the successful operation of this pricing strategy. (5 marks)

b) Calculate the price to charge in each market, and the quantity to produce (and sell) each month, to maximise profit. (4 marks)

c) Calculate the Total Monthly Contribution for each market at the price and quantities calculated in part (a) and the maximum monthly profit in total. (3 marks)

d) Write brief notes to the Management Accountant to explain how this pricing strategy would change if new competitors enter the market and suggest other pricing strategies which the business may have to consider, as well as pricing strategies that a new competitor may use. (3 marks)

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MA – Nov 2020 – L2 – Q5 – High/Low Analysis, Cost-Volume-Profit (CVP) Analysis

Determine maintenance costs using the high-low method, and calculate break-even point, required sales for target profit, and margin of safety for Quickspray Ltd.

Quickspray Ltd offers professional car spraying services at Suame Magazine. The company is planning its activities for the month of June 2018 for its saloon car spraying section. The company charges a service fee of GH¢1,000 and incurs fixed cost (excluding fixed maintenance cost) and variable cost per unit (excluding variable maintenance cost) of GH¢35,000 and GH¢644.39 respectively for spraying a saloon car.

The following data also relates to Quickspray Ltd on the maintenance hours of its key machine, revenue, and profit for the six months ended April 2018:

Month Maintenance Hours Revenue (GH¢) Profit (GH¢)
November 2017 1,200 19,000 700
December 2017 1,425 24,000 1,425
January 2018 1,410 20,100 650
February 2018 1,400 20,000 1,000
March 2018 1,175 18,000 (125)
April 2018 1,275 19,000 175

Total fixed cost increases by GH¢1,120 when maintenance hours go beyond 1,400.

Required:

a) Determine the total maintenance cost of production, using the high-low method if:

i) Maintenance hours for May are budgeted to be 1,520.
ii) Maintenance hours for June are budgeted to be 1,075.

b) Calculate for the month of May the:

i) Break-even point in units and value.
ii) Sales level required to make an after-tax profit of GH¢21,150, assuming Quickspray Ltd is in the 25% tax bracket.
iii) Margin of safety if the target after-tax profit of GH¢21,150 is achieved.

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MA – Nov 2018 – L2 – Q3a – Cost-volume-profit (CVP) analysis

Calculation of the Economic Order Quantity (EOQ) and analysis of the impact of a quantity discount on total inventory costs.

The quarterly demand for an item of raw materials is estimated at 2,000 units at a purchase price of GH¢180 per unit. It is estimated that the cost per order will be GH¢270 and the cost of holding a unit of material in inventory will be GH¢24.

Required:

i) Compute the optimal order quantity, and total minimum costs. (4 marks)

ii) Suppose a supplier offers 5% quantity discount for purchase of 8,000 units, should the offer be accepted? (3 marks)

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MA – Nov 2021 – L2 – Q5 – Cost-Volume-Profit (CVP) Analysis

Calculate breakeven point, profit under full capacity, and analyze profitability options for Claudia Footwear.

a) Claudia Footwear (CFW) has developed a new range of high-quality affordable sandals for beachwear. The sandals are based on an innovative design that protects feet from the effects of sun, salt, and sand. The company has already received some sales orders for 9,000 sandals which form 75% of the operating capacity of CFW, and production is due to commence next month. The Management Accountant has prepared the following projections based on 75% operating capacity for the trading year ahead:

Notes:

  1. Production overhead is made up of fixed and variable costs in the proportion of 7:3, respectively.
  2. GH¢36,000 of the total administration, selling, and distribution costs is fixed, and the remainder varies with sales volume.

Required:
i) Calculate the breakeven point in units and value. (4 marks)
ii) Calculate the profit that could be expected if the company operated at full capacity. (3 marks)

b) In order to enhance profitability, CFW has proposed the following options:

Option one:
If the selling price per unit were reduced by GH¢4, the increase in demand would utilize 90% of the company’s capacity without any additional advertising expenditure.

Option two:
To attract sufficient demand to utilize full capacity would require a 15% reduction in the current selling price. In addition, however, CFW would have to spend GH¢5,000 on a special advertising campaign.

Option three:
To attract sufficient demand to utilize full operating capacity without changing the selling price per unit, CFW has to spend GH¢35,000 on a special advertising campaign.

Required:
Present a statement showing the effect of the three alternatives compared with the original budget and advise management of CFW which of the FOUR possible plans ought to be adopted (the original budget plan or any of the three options). (10 marks)

c) State TWO (2) limitations and ONE (1) usefulness of Cost-Volume-Profit analysis. (3 marks)

 

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MA – May 2019 – L2 – Q4 – Cost-volume-profit (CVP) analysis

Evaluate different options to improve profitability and perform CVP analysis including break-even and margin of safety calculations.

Boasiako Ltd manufactures high-quality coffee biscuits that are sold to hotels and restaurants in Koforidua. Two months ago, it had prepared a budget for the forthcoming financial year.

Details of the budget are presented below:

Sales GH¢6,000,000
Less:
Direct materials GH¢2,080,000
Direct labour GH¢1,160,000
Variable overheads GH¢840,000
Fixed overheads GH¢972,600
Total costs GH¢5,052,600
Profit GH¢947,400

The budget above has been prepared on the assumption that sales will be 800,000 packets of biscuits. However, due to changing economic conditions, the sales forecast for the year is now 720,000 packets of biscuits. It is expected that the selling price per unit, direct costs per unit, and variable overhead cost per unit will not change from those budgeted. It is also expected that fixed overheads will be the same as those budgeted.

Management is now considering a number of options to improve profitability for the forthcoming financial year:

Option 1:
Decrease the selling price by 20%. It is anticipated that this would increase sales volume by 25% on the forecast sales for the current year.

Option 2:
Decrease all variable costs by 10% and decrease fixed costs by 10%. This is not expected to have any impact on the sales level.

Option 3:
Decrease the selling price by 10% and decrease fixed costs by 5%. This is expected to increase sales volume by 25% on the forecast sales for the current year.

Required:
a) Calculate the expected profit for the current year (forecast sales). (2 marks)
b) Based on the forecast activity for the year, calculate:
i) The breakeven point in packets of biscuits.
ii) The margin of safety in percentage terms.
iii) The sales revenue required to earn a profit of GH¢1,440,000. (6 marks)
c) Evaluate the profitability of the three options and recommend the option that Boasiako Ltd should adopt. (7 marks)

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