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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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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 – Nov 2015 – L1 – SA – Q10 – Cost-Volume-Profit Analysis

Calculates the contribution/sales ratio based on given sales and cost data.

What is the contribution/sales ratio?
N
Sales:                                      650,000
Variable costs:                      390,000
Total fixed costs:                  120,000

A. 400%
B. 48%
C. 40%
D. 24%
E. 4%

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MI – Nov 2014 – L1 – SA – Q19 – Cost-Volume-Profit (CVP) Analysis

This question focuses on identifying the cost pattern that includes both fixed and variable components.

The cost behavioral pattern which shows element of fixed and variable components is:
A. Variable cost
B. Standard cost
C. Full cost
D. Semi-variable cost
E. Fixed cost

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MI – Nov 2021 – L1 – SB – Q3b – Cost-Volume-Profit (CVP) Analysis

List assumptions behind CVP analysis and its uses.

  • List FOUR assumptions behind the cost-volume-profit (CVP) analysis. (4 Marks)
  • List TWO uses of the CVP analysis. (2 Marks)

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MI – May 2022 – L1 – SA – Q10 – Cost-Volume-Profit (CVP) Analysis

Determining monthly sales required to achieve a target profit.

PQR produces a single product QR which sells for ₦500 with a variable cost of ₦340. The fixed cost of ₦5,520,000 was accrued evenly over the year and the company wants to achieve a monthly target profit after tax of ₦960,000. Considering a company tax rate of 20%, calculate the level of monthly sales required to achieve the target profit.

A. 40,500 units
B. 39,500 units
C. 34,500 units
D. 10,375 units
E. 8,875 units

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MI – May 2021 – L1 – SA – Q12 – Cost-Volume-Profit (CVP) Analysis

Calculate the break-even sales based on given budget data.

You are given the following data:

Description Amount (₦)
Budgeted sales 500,000
Budgeted contribution 200,000
Budgeted profit 50,000

The break-even sales is:

A. ₦475,000
B. ₦450,000
C. ₦375,000
D. ₦350,000
E. ₦125,000

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MI – May 2021 – L1 – SA – Q4 – Cost-Volume-Profit (CVP) Analysis

Define contribution in the context of CVP analysis.

Which of the following is NOT true about contribution?

A. Contribution equals sales minus variable costs
B. Contribution equals profit plus fixed costs
C. Zero contribution means total sales equal total variable costs
D. Contribution equals net profit
E. If total contribution fails to cover fixed costs, the result is a loss

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MI – Mar-Jul 2020 – L1 – SA – Q3 – Cost-Volume-Profit (CVP) Analysis

Calculate the monthly sales required to achieve the target profit considering the fixed cost and tax rate.

XYZ Company produces a single product XEE selling for N20 and has a variable cost of N12 per unit. If fixed cost of N2.4 million accrues evenly over the year and the company wants to achieve a monthly target profit after tax of N526,400 considering a company tax rate of 30%, calculate the level of monthly sales required to achieve the target profit in units.

A. N365,800
B. N300,000
C. N119,000
D. N90,800
E. N71,060

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MI – May 2016 – L1 – SB – Q3 – Cost-Volume-Profit (CVP) Analysis

Perform various CVP calculations including break-even point, profit, margin of safety, and contribution for a product.

HEALTH-GRACE limited produces one standard product called Bambino Syrup which sells at ₦20.00 per bottle. The trading results for the six months ended June 30, 2015 were as follows:

Month Sales (Units) Profit / Loss (₦)
January 120,000 80,000
February 140,000 120,000
March 60,000 (40,000)
April 96,000 32,000
May 104,000 24,000
June 72,000 16,000

From the above information, you are required to calculate the following:

a. Break-even point in units and Naira value. (2 Marks)
b. Fixed cost. (2 Marks)
c. Variable cost per unit. (8 Marks)
d. Profit volume ratio. (2 Marks)
e. Contribution, assuming 70,000 bottles are sold. (2 Marks)
f. Margin of safety assuming 90,000 bottles are sold. (1 Mark)
g. The number of bottles to be sold to generate a profit after tax of ₦70,000 assuming the tax rate is 30%. (3 Marks)

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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 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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IMAC – NOV 2021 – L1 – Q1 – Budgeting

CVP analysis with calculation of contribution/sales ratio, total fixed costs, and breakeven sales value. Preparation of a flexed budget and identification of budget manual rules.

a) Cost-Volume-Profit (CVP) analysis is a way to find out how changes in variable and fixed costs affect a firm’s profit. Companies can use CVP to assess the impact on profit taking into consideration some assumptions.

Required:
State FIVE (5) assumptions underlying Cost-Volume-Profit Analysis. (5 marks)

b) The following data has been extracted from the operating records of Sharp Production Ltd:

Year Costs (GH¢) Profit (GH¢)
2019 402,000 54,000
2020 510,000 90,000

Required: i) Calculate the contribution/sales ratio for the company. (5 marks) ii) Compute the total fixed costs per annum. (5 marks) iii) Compute the sales value required to breakeven. (5 marks)

 

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