How to calculate contribution margin | 11 Exercises

 

Application: Beauty Flash

States :

Eclair Beauté, a cosmetics company located in Lyon, has just introduced a new line of moisturizers. The company wants to determine contribution margins to better understand its profitability. Here are the key data on a specific cream:

  • Unit sale price excluding VAT: €25
  • Unit variable cost: €10
  • Monthly sales quantity: 3 units

Management also wants to analyze various scenarios to maximize profits.

Work to do :

  1. Calculate the unit variable cost margin for a moisturizer.
  2. Determine the total monthly variable cost margin.
  3. Analyze the effect on the total variable cost margin if the unit selling price is reduced by €2.
  4. If the variable cost decreases by €1, calculate the new monthly variable cost margin.
  5. Discuss the importance of contribution margin for strategic decision making.

Proposed correction:


  1. The unit variable cost margin is calculated by subtracting the unit variable cost from the unit selling price.


    Margin on unit variable cost = €25 – €10 = €15


    The margin on unit variable cost for each cream is €15.



  2. The total variable cost margin is obtained by multiplying the unit margin by the quantity sold.


    Total margin = €15 x €3 = €000


    The monthly variable cost margin amounts to €45.



  3. If the selling price is reduced to €23, the new unit margin is:


New unit margin = €23 – €10 = €13

New total margin = €13 x €3 = €000

The margin on variable cost would decrease to €39 with a drop in the selling price.


  1. With a variable cost reduced to €9, the new unit margin is:


    New unit margin after reduction = €25 – €9 = €16


    New total margin = €16 x €3 = €000


    A reduction in variable cost increases the variable cost margin to €48.



  2. Contribution margin is crucial for assessing the immediate profitability of a product. It helps identify products that contribute the most to covering fixed costs and realizing net profits. It is a key indicator for assessing the short-term viability of new pricing or cost-cutting strategies.


Formulas Used:

TitleFormulas
Margin on unit variable costUnit selling price excluding VAT – Unit variable cost
Total variable cost marginMargin on unit variable cost x Quantity sold

Application: Bistro Bon Appétit

States :

Bistro Bon Appétit, a gourmet restaurant in Paris, wants to analyze the margin on variable cost of its star dish: pan-fried beef fillet with mushrooms. Here is the information for preparing a dish:

  • Selling price: €40
  • Variable cost: €25
  • Number of dishes sold per day: 50

As part of a marketing campaign, management considers several actions.

Work to do :

  1. Calculate the unit variable cost margin for beef fillet.
  2. Estimate the daily variable cost margin.
  3. Determine the impact on the daily margin if the variable cost increases by €5.
  4. If a promotion sells 10 additional dishes per day, what would be the resulting daily margin?
  5. Explain the effect of increasing the contribution margin on the restaurant's competitiveness.

Proposed correction:


  1. For the margin on unit variable cost:


    Margin on unit variable cost = €40 – €25 = €15


    Each fillet of beef generates a unit margin of €15.



  2. For the daily variable cost margin:


    Daily margin = €15 x 50 = €750


    The daily variable cost margin is €750.



  3. If variable costs increase to €30, the margin becomes:


New unit margin = €40 – €30 = €10

New daily margin = €10 x 50 = €500

An increase in variable costs reduces the daily margin to €500.


  1. With 60 dishes sold, the margin will be:


    New daily margin = €15 x 60 = €900


    Selling 10 additional dishes increases the margin to €900.



  2. Increasing the contribution margin improves the restaurant's ability to reduce prices, offer promotions and reinvest in culinary improvements, thereby strengthening its competitiveness.


Formulas Used:

TitleFormulas
Margin on unit variable costUnit selling price – Unit variable cost
Total variable cost marginMargin on unit variable cost x Number of dishes sold

Application: TechGizmo Inc.

States :

TechGizmo Inc., a Berlin-based electronic gadget company, has launched a new tablet model. To optimize its financial projections, it wants to evaluate the contribution margin. Here are the details for the tablet:

  • Selling price: €300
  • Variable cost: €180
  • Expected monthly sales: 2 units

In order to remain competitive, the company is considering different business tactics.

Work to do :

  1. Calculate the unit variable cost margin for the tablet.
  2. Determine the total monthly variable cost margin.
  3. If the variable cost is reduced by €20, what will be the new margin on unit variable cost?
  4. Explore the impact on total margin if monthly sales increase by 500 units.
  5. Comment on the importance of contribution margin for managing technological innovations.

Proposed correction:


  1. The margin on unit variable cost is calculated as follows:


    Margin on unit variable cost = €300 – €180 = €120


    Each tablet sold brings in a margin of €120.



  2. The total monthly variable cost margin is:


    Total margin = €120 x €2 = €000


    The total monthly margin is €240.



  3. If the variable cost is reduced to €160, the new margin will be:


New unit margin = €300 – €160 = €140

A reduction in costs increases the unit margin to €140.


  1. With an increase in sales to 2 units, the monthly margin becomes:


    New monthly margin = €120 x 2 = €500


    Increasing sales by 500 units brings the total margin to €300.



  2. Contribution margin is essential in technology to finance research and development, thus enabling continuous product evolution and sustainable competitive advantage.


Formulas Used:

TitleFormulas
Margin on unit variable costUnit selling price – Unit variable cost
Total variable cost marginMargin on unit variable cost x Monthly sales

Application: Wines and Chateaux

States :

Vins et Châteaux, a distributor of rare wines in Bordeaux, wants to analyze the cost structure of its bottle of “Grand Cru Classé”. Here is the data for a box of 6 bottles:

  • Retail price of the box: €360
  • Variable cost per bottle: €45
  • Number of boxes sold per month: 500

In order to adjust its business strategy, management wishes to deepen its financial analysis.

Work to do :

  1. Calculate the margin on unit variable cost per bottle.
  2. Determine the total monthly variable cost margin for all boxes.
  3. What will be the effect on the unit margin if the selling price increases by €5 per bottle?
  4. Estimate the new total margin if the variable cost decreases by €3 per bottle.
  5. Analyze the potential impact of an increase in contribution margin on sales.

Proposed correction:


  1. The margin on variable cost per bottle is calculated as follows:


    Selling price per bottle = €360 ÷ 6 = €60
    Margin on unit variable cost per bottle = €60 – €45 = €15


    The unit margin per bottle is €15.



  2. To calculate the total variable cost margin:


    Total monthly margin = €15 x 6 x 500 = €45


    The total margin for the months is €45.



  3. If the selling price increases by €5 per bottle, the new calculation is:


New selling price per bottle = €65
New unit margin = €65 – €45 = €20

The unit margin would increase to €20.


  1. With a variable cost reduced to €42, the new margin per bottle is:


    New unit margin = €60 – €42 = €18
    New total margin = €18 x 6 x 500 = €54


    Reducing variable costs brings the total margin to €54.



  2. Increasing contribution margin allows the company to better manage market fluctuations, invest in marketing and improve customer relationships, thereby stimulating more robust sales.


Formulas Used:

TitleFormulas
Selling price per bottleSelling price of the box ÷ Number of bottles
Margin on unit variable costSelling price per bottle – Variable cost per bottle
Total variable cost marginMargin on unit variable cost per bottle x Number of bottles x Number of boxes

Application: Alliance Mode

States :

Mode Alliance, a high-end clothing brand in Milan, wants to know the contribution margin for its new summer dress line. Here is the information for one dress:

  • Selling price: €150
  • Variable cost: €70
  • Estimated monthly sales: 1 units

The company plans to adjust its margins to improve its performance.

Work to do :

  1. Calculate the unit variable cost margin for each summer dress.
  2. Estimate the total monthly variable cost margin for all dresses.
  3. How would the unit margin be affected if the selling price was lowered by €10?
  4. If sales increased by 15%, calculate the new total monthly margin.
  5. Discuss how contribution margin management influences market positioning.

Proposed correction:


  1. The margin on unit variable cost is calculated as follows:


    Unit margin = €150 – €70 = €80


    Each dress brings in a unit margin of €80.



  2. For the total variable cost margin:


    Total monthly margin = €80 x €1 = €200


    The total monthly margin for dresses is €96.



  3. If the sale price drops to €140, the margin is calculated:


New unit margin = €140 – €70 = €70

The unit margin would decrease to €70.


  1. With a 15% increase, sales would be 1 units:


    New total margin = €80 x €1 = €380


    Increasing sales by 15% would bring the total margin to €110.



  2. Effective management of variable cost margin allows Mode Alliance to quickly adjust its pricing and cost strategies to respond to market trends, strengthening its competitive position.


Formulas Used:

TitleFormulas
Margin on unit variable costSelling price – Unit variable cost
Total variable cost marginMargin on unit variable cost x Quantity sold

Application: Gymn'O'Fit

States :

Gymn'O'Fit, a fitness studio in London, has recently launched an exclusive fitness program. Here is the data associated with registering for this program:

  • Registration fee: €200
  • Variable cost per registration: €80
  • Number of monthly registrations: 150

The management team must re-evaluate its margins to optimize profits.

Work to do :

  1. Calculate the unit variable cost margin generated by each registration.
  2. Determine the total monthly variable cost margin.
  3. If the variable cost increases by €10, what is the new margin on unit variable cost?
  4. Explore the impact of a €20 registration fee reduction on total margins if registrations increase by 20%.
  5. Analyze how a constant adaptation of the margin on variable cost allows Gymn'O'Fit to retain its customers.

Proposed correction:


  1. The margin on unit variable cost is obtained as follows:


    Unit margin = €200 – €80 = €120


    Each registration generates a unit margin of €120.



  2. The total monthly variable cost margin is calculated by:


    Total monthly margin = €120 x 150 = €18


    The total monthly margin is €18.



  3. If the variable cost increases to €90, the new unit margin is:


New unit margin = €200 – €90 = €110

An increase in costs reduces the unit margin to €110.


  1. A reduction of €20 on the price results in a new unit margin:


    New registration price = €180
    New unit margin = €180 – €80 = €100


    With a 20% increase in registrations (180 registrants), the total margin is:


    New total margin = €100 x 180 = €18


    Despite the price reduction, the increase in registrations stabilizes the margin at €18.



  2. Proactively adapting the variable cost margin allows Gymn'O'Fit to offer attractive promotions while maintaining a loyalty relationship with its members, thus ensuring dynamic and healthy competition.


Formulas Used:

TitleFormulas
Margin on unit variable costRegistration price – Unit variable cost
Total variable cost marginMargin on unit variable cost x Number of registrations

Application: Magic Games SARL

States :

Jeux Magiques SARL, a toy store based in Barcelona, ​​is about to evaluate the contribution margin of its new line of educational games. Here are the key data by game:

  • Selling price: €35
  • Variable cost: €21
  • Weekly quantity sold: 400

The company also wants to explore possible adjustments for better performance.

Work to do :

  1. Calculate the unit variable cost margin for each game.
  2. Estimate the total weekly variable cost margin.
  3. What would be the effect on the unit margin if the selling price increased by €3?
  4. If demand increases by 10% as a result of an advertising campaign, estimate the new total margin.
  5. Examine the long-term impact of contribution margins on product expansion strategies at Jeux Magiques SARL.

Proposed correction:


  1. The margin on unit variable cost is calculated as follows:


    Unit margin = €35 – €21 = €14


    Each game generates a unit margin of €14.



  2. The total weekly variable cost margin is:


    Total weekly margin = €14 x 400 = €5


    The weekly variable cost margin is €5.



  3. With a price increase, the new unit margin calculation is:


New sale price = €38
New unit margin = €38 – €21 = €17

The unit margin would increase to €17.


  1. With a 10% increase in demand, the quantity sold becomes 440:


    New total margin = €14 x 440 = €6


    An increase in sales through advertising would increase the total margin to €6.



  2. Strategic management of variable cost margin allows Jeux Magiques SARL to continually innovate, expand its product range and remain relevant in a constantly changing toy market.


Formulas Used:

TitleFormulas
Margin on unit variable costSelling price – Unit variable cost
Total variable cost marginMargin on unit variable cost x Weekly quantity sold

Application: La Fournée Bakery

States :

La Fournée bakery in Geneva has launched a brand new pastry: the caramel mille-feuille. The bakery wants to calculate the margin on variable cost to better manage its recipes. Here are the key figures:

  • Selling price: €6
  • Variable cost: €3,50
  • Daily sales: 150 units

As part of its diversification plan, the establishment is considering various pricing options.

Work to do :

  1. Calculate the unit variable cost margin for the mille-feuille.
  2. Determine the total daily variable cost margin.
  3. If the variable cost decreases by €0,30, what is the new unit margin?
  4. Explain the impact on the total margin if the number of sales increases by 25%.
  5. Analyze the implications of variable cost margin management in the development of new pastry products.

Proposed correction:


  1. The margin on unit variable cost is as follows:


    Unit margin = €6 – €3,50 = €2,50


    Each mille-feuille sold gives a margin of €2,50.



  2. The total daily variable cost margin:


    Total daily margin = €2,50 x 150 = €375


    The bakery makes a daily margin of €375.



  3. If the variable cost is reduced to €3,20, the new unit margin is:


New unit margin = €6 – €3,20 = €2,80

Reducing the cost increases the unit margin to €2,80.


  1. With a 25% increase in sales:


    New volumes = 150 + (0,25 x 150) = 187,5 rounded to 188


    New total margin = €2,50 x 188 = €470


    A 25% increase in sales would raise the margin to €470.



  2. Effective management of contribution margin helps support innovation and new product launches, thereby improving the bakery's competitiveness in the demanding market for high-end pastries.


Formulas Used:

TitleFormulas
Margin on unit variable costSelling price – Unit variable cost
Total variable cost marginMargin on unit variable cost x Daily sales

Application: Authentic Furniture

States :

Meubles Authentiques, a chain of furniture stores in Brussels, wants to evaluate the margin on variable cost of its new range of leather armchairs. Here are the relevant data:

  • Selling price: €450
  • Variable cost: €270
  • Expected monthly sales: 300 units

Management wants to see more clearly the margins available for different marketing actions.

Work to do :

  1. Calculate the unit variable cost margin for each chair.
  2. Evaluate the total monthly variable cost margin.
  3. With a variable cost increase of €30, what happens to the unit margin?
  4. If a €50 discount on the sales price boosts sales by 10%, estimate the new impact on the total margin.
  5. Evaluate the importance of contribution margin in Authentic Furniture's marketing decisions.

Proposed correction:


  1. The margin on unit variable cost is:


    Unit margin = €450 – €270 = €180


    Each chair sold brings a unit margin of €180.



  2. The total monthly variable cost margin is:


    Total margin = €180 x 300 = €54


    The monthly margin is €54.



  3. If the variable cost becomes €300, the new unit margin:


New unit margin = €450 – €300 = €150

An increase in costs reduces the unit margin to €150.


  1. With a price reduction, the unit margin becomes:


    New unit price = €400
    New unit margin = €400 – €270 = €130


    With a 10% increase in sales:


    New sales = 330
    New total margin = €130 x 330 = €42


    A price reduction and an increase in sales changes the margin to €42.



  2. Contribution margin helps management clearly visualize profitability, effectively manage price reductions, and customize promotional campaigns to maximize profit impact.


Formulas Used:

TitleFormulas
Margin on unit variable costSelling price – Unit variable cost
Total variable cost marginMargin on unit variable cost x Monthly sales

Application: Flavors of the Sea

States :

Saveurs de la Mer, a seafood caterer in Barcelona, ​​wants to calculate the variable cost margin of its new seafood platter offering. Here are the details:

  • Selling price: €75
  • Variable cost: €45
  • Weekly sales: 80

Management is considering different promotional strategies and wants to understand their possible effects on margin.

Work to do :

  1. Calculate the unit variable cost margin for each tray.
  2. Estimate the total weekly variable cost margin.
  3. Estimate the new unit margin if the selling price increases to €70.
  4. If sales volume increases by 25% due to a promotion, what would be the new total margin?
  5. Discuss the impact of the variation in margin on variable cost for promotional actions at Saveurs de la Mer.

Proposed correction:


  1. The margin on unit variable cost is calculated as follows:


    Unit margin = €75 – €45 = €30


    Each tray sold generates a unit margin of €30.



  2. The total weekly variable cost margin is obtained by:


    Total weekly margin = €30 x 80 = €2


    The weekly margin is €2.



  3. If the selling price falls to €70, the unit margin becomes:


New unit margin = €70 – €45 = €25

A price reduction lowers the unit margin to €25.


  1. With a 25% increase in sales:


    New volumes = 80 + (0,25 x 80) = 100


    New total margin = €30 x 100 = €3


    Increasing sales by 25% raises the margin to €3.



  2. Adjusting margins on variable costs allows Saveurs de la Mer to respond to market fluctuations, strategically allocate resources to promotional operations and maximize its return on investment.


Formulas Used:

TitleFormulas
Margin on unit variable costSelling price – Unit variable cost
Total variable cost marginMargin on unit variable cost x Weekly sales

Application: Serenity Spa

States :

Serenity Spa, a wellness center in Rome, is offering a new facial treatment package and wants to analyze its contribution margin. Here are the data:

  • Package price: €100
  • Variable cost: €60
  • Number of packages sold per week: 120

Management is considering several options to optimize its service offerings and wishes to personalize the financial analysis.

Work to do :

  1. Identify the margin on unit variable cost for each package.
  2. Calculate the total weekly variable cost margin.
  3. What happens to the unit margin if a price increase brings the package to €110?
  4. Consider the impact on total margin if sales increase by 20% from a new campaign.
  5. Explore how dynamic management of variable cost margins influences loyalty at Sérénité Spa.

Proposed correction:


  1. The margin on unit variable cost is as follows:


    Unit margin = €100 – €60 = €40


    Each package sold generates a margin of €40.



  2. The total weekly variable cost margin is:


    Total weekly margin = €40 x 120 = €4


    The weekly margin reaches €4.



  3. With a new package price of €110, the unit margin becomes:


New unit margin = €110 – €60 = €50

A price increase raises the unit margin to €50.


  1. With a 20% increase in sales:


    New volumes = 120 + (0,20 x 120) = 144


    New total margin = €40 x 144 = €5


    A successful campaign increases the margin to €5.



  2. Flexible and proactive management of variable cost margins allows Sérénité Spa to offer attractive offers and maximize customer satisfaction, thus ensuring long-term loyalty.


Formulas Used:

TitleFormulas
Margin on unit variable costPackage price – Unit variable cost
Total variable cost marginMargin on unit variable cost x Number of packages sold per week

 

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