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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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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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