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5.5 Break-even analysis

Practice exam-style IB Business and Management questions for Break-even analysis, aligned with the syllabus and grouped by topic.

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Paper
Difficulty
Status
Level
Question 1
SL • Paper 1
Easy
Calculator Permitted
SL • Paper 1
Easy
Calculator Permitted

BrewBox is a small private limited company that sells reusable coffee cups to local cafés. Each cup sells for 12 dollars and has a variable cost of 5 dollars. BrewBox also pays monthly fixed costs such as workshop rent and insurance.

A

Define the term contribution per unit.

[2]
B

Explain the difference between contribution and profit for BrewBox.

[4]
Question 2
SL • Paper 2
Easy
Calculator Permitted
SL • Paper 2
Easy
Calculator Permitted

GreenBox Meals (GM) prepares boxed lunches for office workers. GM sells one type of lunch box and wants to check whether its forecasted monthly sales will cover its fixed costs.

Table 1: Forecasted monthly financial information for GM

Item

Amount

Selling price per lunch box

USD 12.00

Variable cost per lunch box

USD 7.50

Forecasted sales

1600 lunch boxes

Fixed costs per month

USD 5400

A

Calculate the total contribution for GM for one month (show all your working).

[2]
B

Calculate GM's forecasted monthly profit or loss (show all your working).

[2]
Question 3
SL • Paper 1
Medium
Calculator Permitted
SL • Paper 1
Medium
Calculator Permitted

StudioRise is a start-up offering paid dance classes. The owner has prepared a break-even chart to present to a bank manager before applying for a loan. The chart uses class places sold on the horizontal axis and revenue/costs in dollars on the vertical axis.

Break-even chart showing fixed cost, total cost, total revenue, and point X.
A

Identify two features that should be shown on a fully labelled break-even chart.

[2]
B

Outline what point X represents for StudioRise.

[2]
C

Outline what is meant by margin of safety for StudioRise.

[2]
Question 4
SL • Paper 1
Medium
Calculator Permitted
SL • Paper 1
Medium
Calculator Permitted

GreenScoot rents electric scooters to tourists. Demand has been lower than expected, so the marketing manager suggests reducing the hourly rental price. Variable costs per rental and fixed costs are expected to remain unchanged. The reduced price is expected to remain above the variable cost per rental.

A

Explain two likely effects of reducing the hourly rental price on GreenScoot’s break-even position.

[4]

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Question 5
HL • Paper 1
Medium
Calculator Permitted
HL • Paper 1
Medium
Calculator Permitted

TutorTrail runs online revision courses. It pays platform fees and tutor training costs each month, and each extra student creates some variable cost for digital materials and payment processing. The finance director monitors the margin of safety before approving extra advertising.

A

Explain two reasons why a large margin of safety may be useful to TutorTrail.

[4]
Question 6
SL • Paper 2
Medium
Calculator Permitted
SL • Paper 2
Medium
Calculator Permitted

BrightRide Bikes (BB) manufactures children's bicycles. BB has received an order from a retail chain and wants to calculate the level of sales needed to break even.

Table 2: Financial information for BB for the order

Item

Amount

Selling price per bicycle

USD 30

Variable cost per bicycle

USD 18

Fixed costs for the order

USD 28 800

Expected sales

3000 bicycles

A

Calculate the break-even quantity for BB (show all your working).

[2]
B

Calculate BB's margin of safety for the order (show all your working).

[2]
Question 7
SL • Paper 2
Medium
Calculator Permitted
SL • Paper 2
Medium
Calculator Permitted

Luna Lamps (LL) manufactures desk lamps. A new supplier has offered LL lower-cost components. The selling price and fixed costs would not change.

Table 4: Current and proposed financial information for LL

Item

Current

With new supplier

Selling price per lamp (USD)

40

40

Variable cost per lamp (USD)

24

20

Fixed costs per month (USD)

32 000

32 000

Expected monthly sales (lamps)

2500

2500

A

Calculate LL's current break-even quantity and its break-even quantity with the new supplier (show all your working).

[3]
B

Comment on the effect of the new supplier on LL's margin of safety.

[1]
Question 8
SL • Paper 1
Medium
Calculator Permitted
SL • Paper 1
Medium
Calculator Permitted

FreshFork produces ready-made vegetarian meals for supermarkets. Its supplier of packaging has increased prices, raising the variable cost per meal. FreshFork is considering whether to increase its selling price, but supermarket buyers are price sensitive.

A

Analyse the likely impact on FreshFork of an increase in variable cost per meal.

[6]

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Question 9
SL • Paper 1
Medium
Calculator Permitted
SL • Paper 1
Medium
Calculator Permitted

PrintPod produces customized phone cases using a rented digital printer. The operations manager wants to use break-even analysis when setting a monthly target profit and deciding the price to charge for each case.

A

Outline what is meant by target profit output.

[2]
B

Explain how target price could help PrintPod when deciding the price for each phone case.

[4]
Question 10
HL • Paper 1
Medium
Calculator Permitted
HL • Paper 1
Medium
Calculator Permitted

HarbourKayaks hires kayaks and paddleboards from a beach location. The owner has used break-even analysis to decide whether to sign a three-year lease on a larger site. The forecast assumes a constant hire price, constant variable cost per hire and that every available booking slot will be sold during the summer.

A

Analyse two limitations of using break-even analysis for HarbourKayaks’ decision.

[6]
Question 11
SL • Paper 2
Medium
Calculator Permitted
SL • Paper 2
Medium
Calculator Permitted

SunWave Boards (SWB) produces paddle boards for local sports shops. The operations manager wants a break-even chart to present at a monthly meeting.

Table 3: Financial information for SWB

ItemAmount / USDQuantity / paddle boards
Selling price per paddle board25N/A
Variable cost per paddle board10N/A
Fixed costs per month30 000N/A
Forecasted monthly salesN/A2600
Maximum monthly output shown on chartN/A3000
Break-even chart for SWB showing only total revenue and total cost; the fixed-cost line is to be constructed by the student.
A

The supplied chart shows total revenue and total cost for SWB. Complete the chart by adding and labelling the horizontal fixed-cost line, and use the chart or calculations to determine the break-even output and break-even revenue. Show all your working.

[4]
B

Comment on SWB's forecasted monthly sales using your break-even chart or calculations.

[2]
Question 12
SL • Paper 2
Medium
Calculator Permitted
SL • Paper 2
Medium
Calculator Permitted

PeakPrint (PP) prints customized notebooks for schools. PP wants to set a selling price that will achieve a target profit, but the market is competitive.

Table 5: Forecasted information for PP

Item

Amount

Planned output and sales

5000 notebooks

Variable cost per notebook

USD 14

Fixed costs

USD 45 000

Target profit

USD 20 000

Average competitor price per notebook

USD 26

A

Calculate the target price per notebook needed for PP to achieve its target profit (show all your working).

[2]
B

Comment on whether the target price is likely to be suitable for PP.

[2]

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Question 13
HL • Paper 1
Medium
Calculator Permitted
HL • Paper 1
Medium
Calculator Permitted

LunaDeli is a busy café selling sandwiches, drinks, cakes and salads. The owner wants to use break-even analysis to decide whether to open for longer hours. Each product has a different selling price and variable cost. The café also has qualitative aims, including reducing food waste and maintaining its reputation for fresh food.

A

Analyse the usefulness and limitations of break-even analysis for LunaDeli’s decision to open for longer hours.

[6]
Question 14
HL • Paper 2
Medium
Calculator Permitted
HL • Paper 2
Medium
Calculator Permitted

Koru Candles (KC) makes scented candles by hand. KC is considering buying a filling machine. The machine would reduce variable costs but increase fixed costs. KC's owner has set a target profit for the next year.

Table 6: Current and machine option financial information for KC

Item

Current production

Machine option

Selling price per candle (USD)

18

18

Variable cost per candle (USD)

8

5

Annual fixed costs (USD)

36000

48000

Forecast annual demand (candles)

5000

5000

Target profit (USD)

20000

20000

A

Calculate KC's forecast annual profit using current production (show all your working).

[2]
B

Calculate the target profit output for the machine option (show all your working).

[2]
C

Comment on whether KC should buy the filling machine, using the data provided.

[2]
Question 15
HL • Paper 2
Medium
Calculator Permitted
HL • Paper 2
Medium
Calculator Permitted

MetroFit Studios (MFS) sells annual fitness memberships. MFS is considering a price reduction to attract more members. The variable cost per member and fixed costs would remain unchanged.

Table 7: Current and proposed membership information for MFS

Item

Current

Proposed price reduction

Selling price per membership

USD 60

USD 54

Variable cost per membership

USD 36

USD 36

Annual fixed costs

USD 72 000

USD 72 000

Expected number of memberships sold

3600

4300

A

Calculate the current break-even quantity and current margin of safety for MFS (show all your working).

[2]
B

Calculate the proposed break-even quantity and proposed margin of safety for MFS (show all your working).

[2]
C

Comment on the effect of the proposed price reduction on MFS.

[2]
Question 16
SL • Paper 1
Hard
Calculator Permitted
SL • Paper 1
Hard
Calculator Permitted

EcoThread (ET) is a small private limited company that produces school hoodies from recycled cotton. ET has been invited to supply a new range of customized hoodies for an international schools conference. The order could improve ET's brand image, but the conference organizers require reliable delivery and consistent quality.

ET estimates the following monthly figures for the new hoodie range:

  • selling price: USD 40 per hoodie
  • variable cost: USD 22 per hoodie
  • additional fixed costs for equipment rental, design software and supervision: USD 27 000 per month
  • forecast sales: 1800 hoodies per month

A new fabric supplier has offered recycled cotton at a lower price, reducing variable cost to USD 18 per hoodie. However, the supplier is new and ET's production manager is concerned about possible late deliveries and inconsistent fabric quality. The marketing manager believes that meeting the conference order could help ET win future contracts with schools.

A

Evaluate the usefulness of break-even analysis to ET when deciding whether to accept the conference order.

[10]

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Question 17
HL • Paper 2
Hard
Calculator Permitted
HL • Paper 2
Hard
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Harbour Events (HE) organizes corporate events and sells three event packages. HE's finance manager wants to use a single average contribution figure for break-even analysis, based on the forecast sales mix.

Table 8: Forecast package information for HE

Package

Selling price per booking / USD

Variable cost per booking / USD

Forecast sales mix / %

Annual fixed costs / USD

Standard

120

80

50%

Plus

180

120

30%

Premium

260

170

20%

Annual fixed costs

84 000

A

Calculate the weighted average contribution per booking for HE (show all your working).

[2]
B

Calculate HE's break-even number of bookings using the weighted average contribution (show all your working).

[2]
C

Comment on one limitation of HE using this break-even figure for decision-making.

[2]
Question 18
SL • Paper 2
Hard
Calculator Permitted
SL • Paper 2
Hard
Calculator Permitted

Coastal Cinema (CC) operates seasonal outdoor film screenings in a tourist town. CC sells one type of ticket and pays performers, film licence fees and site rental for the season. Sales last season were lower than expected after a new indoor cinema opened nearby. CC is considering reducing its ticket price and increasing online advertising for the next season. Table 1 shows CC's current and proposed financial forecasts for the next season.

Financial item

Current strategy

Proposed strategy

Selling price per ticket (USD)

USD 18

USD 15

Variable cost per ticket (USD)

USD 6

USD 6

Seasonal fixed costs (USD)

USD 48,000

USD 52,000

Forecast ticket sales (tickets)

5,200

7,000

Maximum seasonal capacity (tickets)

8,000

8,000

Average competitor ticket price (USD)

USD 16

USD 16

A

Using the data in Table 1 and other relevant information, evaluate whether CC should reduce its ticket price for the next season.

[10]
Question 19
SL • Paper 2
Hard
Calculator Permitted
SL • Paper 2
Hard
Calculator Permitted

Maya Homeware (MH) sells environmentally friendly household products online. MH is planning to launch a bamboo pet bowl. The marketing manager believes the product fits MH's brand image, but the finance manager is concerned that demand may be uncertain. MH has prepared break-even forecasts for the first year of the product launch. Table 1 shows selected forecast information for the bamboo pet bowl.

Forecast item

Value

Planned output and sales (bowls per year)

5,500

Selling price per bowl

USD 32

Variable cost per bowl

USD 18

Launch fixed costs

USD 56,000

Target profit

USD 18,000

Maximum annual production capacity (bowls per year)

6,000

Estimated demand from market research (bowls per year)

4,800

Average competitor price

USD 30

A

Using the data in Table 1 and other relevant information, discuss whether break-even analysis should be the main tool used by MH when deciding whether to launch the bamboo pet bowl.

[10]
Question 20
SL • Paper 1
Hard
Calculator Permitted
SL • Paper 1
Hard
Calculator Permitted

NightGlow (NG) operates mobile charging lockers at music festivals. Customers pay a fixed price to store and charge a phone for one day. NG rents space from festival organizers and pays attendants to supervise the lockers.

For its usual festival package, NG charges USD 8 per locker use. Variable cost is USD 2 per locker use and fixed costs are USD 12 000 per festival. Assume that variable cost remains USD 2 per locker use after the price reduction and that only the selling price and fixed costs change. NG normally sells 2600 locker uses at a large festival.

A competing business has entered the market. NG's marketing manager wants to reduce the price to USD 6 per locker use to attract more customers. The operations manager argues that a lower price will increase the break-even quantity and may create long queues, damaging NG's reputation. To handle extra demand, NG would also need to rent more locker units, increasing fixed costs to USD 15 000 per festival. Market research suggests that sales could increase to 4000 locker uses, but this estimate is uncertain because customers may bring portable power banks instead.

A

Discuss whether NG should reduce its price to USD 6 per locker use.

[10]

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Question 21
HL • Paper 1
Hard
Calculator Permitted
HL • Paper 1
Hard
Calculator Permitted

AquaPod (AP) designs compact water-filter bottles for hikers and students. AP currently sells through its own website, but a national outdoor retailer has offered to stock a new premium version of the bottle. The retailer would give AP access to a larger market, but it requires high packaging standards, fast delivery and a lower wholesale price than AP normally charges.

AP's finance director has prepared the following forecast for the premium bottle if AP accepts the retailer's offer:

  • wholesale selling price: USD 32 per bottle
  • variable cost: USD 20 per bottle
  • additional annual fixed costs for packaging design, warehouse space and retailer compliance: USD 96 000
  • expected annual sales through the retailer: 10 500 bottles
  • AP's annual target profit for the premium bottle: USD 45 000

The operations director believes AP could reduce the variable cost to USD 17 by changing to a cheaper filter component. However, the product development team warns that this may reduce filter life and could conflict with AP's positioning as a premium, sustainable brand. AP's founder is attracted by the retailer's offer but is concerned that AP may become dependent on one large customer.

A

Recommend whether AP should accept the outdoor retailer's offer, using break-even analysis and other relevant information.

[10]
Question 22
HL • Paper 2
Hard
Calculator Permitted
HL • Paper 2
Hard
Calculator Permitted

NovaPods (NP) manufactures portable solar chargers for campers. NP currently uses labour-intensive assembly. To improve consistency and reduce unit costs, the operations director wants to lease an automated assembly line for three years. The finance director is concerned that the automated option would increase fixed costs and make NP more dependent on high sales volumes. Table 1 shows forecast information for the current method and the automated assembly option.

Item

Current method

Automated line

Selling price per charger (USD)

75

75

Variable cost per charger (USD)

42

30

Annual fixed costs (USD)

198000

282000

Forecast annual sales (chargers)

7800

8200

Maximum annual capacity (chargers)

9000

12000

Pessimistic demand forecast (chargers)

6500

6500

Annual target profit (USD)

40000

40000

A

Using the data in Table 1 and other relevant information, recommend whether NP should lease the automated assembly line.

[10]
Question 23
HL • Paper 3
Hard
Calculator Permitted
HL • Paper 3
Hard
Calculator Permitted

RePlate Kitchen (RPK) - a social enterprise

Read the resources and answer the questions that follow.

Resource 1 — Background

RPK is a social enterprise that turns surplus food from supermarkets into affordable meal kits for low-income families. Any surplus is reinvested into free cooking classes and emergency food parcels. RPK is considering leasing an electric refrigerated van so that it can collect from more supermarkets and deliver to more neighbourhoods.

Resource 2 — Selected monthly financial information for RPK

Resource 3 — Social-media statistic

RPK has 32 000 followers on social media. In a recent online survey, 18% of respondents said they would pay at least USD 1.50 more for a lower-emission delivery service if the extra revenue supported food access.

Resource 4 — Quotation

The finance manager said: "The new van supports our mission, but if sales fall below 4 000 meal kits in a month, our cash position could become very difficult."

Item

Current meal kit

Option A: electric-van expansion

Selling price per meal kit (USD)

14.00

15.50

Variable cost per meal kit (USD)

8.00

8.20

Fixed costs per month (USD)

24 000

27 000

Forecast sales per month (meal kits)

4 200

4 500

1

Using Resource 2, calculate RPK's current break-even quantity.

[2]
2

Using Resource 2, analyse the likely impact of Option A on RPK's break-even quantity and margin of safety.

[6]
3

Using all the resources provided and your knowledge of business management tools and theories, recommend a plan of action for RPK to expand its social impact while reducing the risk of making a loss.

[17]
Question 24
HL • Paper 3
Hard
Calculator Permitted
HL • Paper 3
Hard
Calculator Permitted

ClearWater Refill (CWR) - a social enterprise

Read the resources and answer the questions that follow.

Resource 1 — Background

CWR is a social enterprise that sells household water-filter kits and uses its surpluses to install free refill stations in schools and community centres. CWR wants to launch a new low-cost filter kit made from recycled materials. The directors must decide whether to accept a conditional grant from a health charity.

Resource 2 — Forecast financial information for the first year of the new filter kit

ItemWithout charity grantWith charity grant
Planned filter kits sold8 0007 500
Filter kits donated free to schools0500
Variable cost per filter kitUSD 11.50USD 11.50
Fixed costs for the launchUSD 70 000USD 56 000
Target surplus for reinvestmentUSD 18 000USD 18 000
Average competitor priceUSD 21.00USD 21.00

Resource 3 — Social-media statistic

CWR has 54 000 followers. A post about free refill stations in schools was shared 9 600 times, but only 3 200 followers clicked the link to register interest in buying the new filter kit.

Resource 4 — Quotation

The founder said: "A filter kit price above competitors may fund our mission, but our target customers are households trying to reduce spending on bottled water."

Item

Without charity grant

With charity grant

Planned filter kits sold / kits

8 000

7 500

Filter kits donated free to schools / kits

0

500

Variable cost per filter kit / USD

11.50

11.50

Net fixed launch cost / USD

70 000

56 000

Target surplus for reinvestment / USD

18 000

18 000

Average competitor price / USD

21.00

21.00

Grant status and terms

Not applicable

Conditional; amount, payment timing, restrictions and reporting requirements must be verified

1

Using Resource 2, calculate the target price per filter kit without the charity grant.

[2]
2

Using Resource 2 and Resource 4, analyse the effect of accepting the charity grant on CWR's target price and break-even position. Assume that accepting the grant commits CWR to producing all 500 kits donated to schools regardless of the number of paid kits sold. Define the adjusted break-even quantity as the number of paid kits needed after including the variable cost of these committed donated kits.

[6]
3

Using all the resources provided and your knowledge of business management tools and theories, recommend a plan of action for CWR's launch of the new filter kit.

[17]

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Question 25
HL • Paper 3
Hard
Calculator Permitted
HL • Paper 3
Hard
Calculator Permitted

LoopLearn Devices (LLD) - a social enterprise

Read the resources and answer the questions that follow.

Resource 1 — Background

LLD refurbishes donated digital devices and sells them at low prices to students from low-income households. It also runs paid repair workshops for schools. LLD wants to reduce digital exclusion but has struggled with unpredictable donations of devices and changing repair costs.

Resource 2 — Forecast sales mix for the next year

Product or serviceSelling priceVariable costForecast sales mix
Basic refurbished laptopUSD 180USD 12060%
Plus refurbished laptopUSD 260USD 17030%
School repair workshopUSD 45USD 1510%
Annual fixed costsUSD 96 000
Forecast total sales1 600 sales

Resource 3 — Social-media statistic

LLD has 74 000 followers. A campaign video about digital exclusion received 210 000 views, but the number of donated laptops fell by 12% last year because local companies upgraded devices less often.

Resource 4 — Quotation

The operations manager said: "A single break-even figure is useful for our board, but our sales mix changes whenever a school cancels a workshop or a batch of donated laptops is too damaged to repair."

Product or service

Selling price (USD)

Variable cost (USD)

Forecast sales mix

Annual fixed costs (USD)

Forecast total sales (sales)

Basic refurbished laptop

180

120

60%

—

—

Plus refurbished laptop

260

170

30%

—

—

School repair workshop

45

15

10%

—

—

Annual fixed costs

—

—

—

96 000

—

Forecast total sales

—

—

—

—

1 600

1

Using Resource 2, calculate LLD's weighted average contribution per sale.

[2]
2

Using Resource 2 and Resource 4, analyse the usefulness of LLD's weighted average break-even figure for decision-making.

[6]
3

Using all the resources provided and your knowledge of business management tools and theories, recommend a plan of action for LLD to reduce the risk of making a loss while increasing access to digital devices.

[17]

5.4 Location

5.6 Production planning