Case Prep Marketing Math

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    Keith E. Niedermeier, Ph.D.

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    ! Case Preparation

    ! Marketing Planning Process

    ! Structuring a Case Analysis

    ! Marketing Math!

    Unit Contribution (Fixed and Variable Costs)! Margin Analysis

    !

    Break-Even Volume

    !

    Market Share

    ! Profit Impact

    !

    Customer Lifetime Value!

    Sunk and Opportunity Costs

    ! Examples

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    Situation Analysis

    Possible Strategic

    Options

    Implementation

    Consumers

    Collaborators

    Company

    Context

    Competitors

    Evaluate Target Markets &Positioning Options

    Price, Product, Promotion, Place

    4Ps

    5Cs

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    ! Trends! Market Share

    ! Sales Volume

    ! Costs

    !

    Customer Tastes/Beliefs

    ! Opportunities! New Product

    ! New Market

    !

    Change Marketing Mix

    ! Competitive Threat

    What ischanging?

    What iscausing the

    change?

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    ! Use Course Frameworks to Guide Analysis:

    ! 5 Cs:Customer, Competition, Company,Collaborators, Context

    ! SWOT: Strengths, Weaknesses, Opportunities,Threats

    ! 4 Ps: Product, Price, Place, Promotion

    ! Marketing Math: Unit Contribution, Break-Even,Market Share, Customer Lifetime Value

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    ! Consider Alternatives! No Action

    !

    Defend by comparison to likely actions

    ! Specify information needed for future acts

    !

    Action!

    Defend by action to no action, other options

    ! Specify 4Ps

    !

    Be Realistic!!

    Consider company resources and constraints! Stay within the timeframe of the case! Discuss implementation

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    ! Step 1: Analyze the Problem! Use course frameworks

    ! Step 2: Identify Core Problem! Look at Trends, Opportunities, Competitive Threats

    !

    Step 3: Evaluate and Decide! Choose a course of action

    ! Defend it compared to other alternatives

    ! Specify implementation and tactics

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    ! Unit Contribution

    ! Variable and Fixed Costs

    ! Margin Analysis

    ! Break-Even Volume! Market Share

    ! Profit Impact

    ! Customer Lifetime Value

    ! Sunk and Opportunity Costs

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    ! Variable Costs! Change with volume of production

    !

    Manufacturing, shipping, sales commissions

    ! Fixed Costs! Stay the same regardless of level of production

    !

    Executive salaries, rent, insurance, other overheadexpenses

    Unit Contribution = Revenue per unit Variable Costs per unit

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    !

    The Wharton Store sells a T-shirt for $15, which theypurchase from American Apparel for $7.50. AmericanApparel pays $2 for fabric, $0.50 for ink, and incurs laborcosts of $1 per shirt. There is also a flat annual fee of

    $10,000 dollars for rental of the t-shirt display cases.

    ! What are the unit contributions for The Wharton Store andAmerican Apparel?

    !

    The Wharton Store Unit Contribution:

    ! American Apparel Unit Contribution:

    Unit Contribution = Revenue per unit Variable Costs per unit

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    ! Percent of selling price associated with profit

    ! What are the profit margins for The WhartonStore and American Apparel?! The Wharton Store:

    ! American Apparel:

    Margin = Unit Contribution / Revenue per Unit

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    Retail Price

    Price charged toconsumer

    Manufacturer

    Price

    Wholesale Price

    Manufacturer

    Variable Costs

    Cost ofproduction

    RETAILER

    MANUFACTURER

    Analyze the margins through the value chain.

    10.00

    5.00

    2.00

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    ! Break-Even Volume (BEV) is the number ofunits you need to produce to cover total fixed

    costs

    ! Use BEV to make decisions about newinvestments

    Break-Even Volume = Fixed Costs / Unit Contribution

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    ! The unit contribution of a Bridge Caf plainbagel is $0.50. Management is considering

    adding a new display case for plain bagels,which costs $200. How many bagels doesBridge Caf have to sell to break even on thisinvestment?

    Break-Even Volume = Fixed Costs / Unit Contribution

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    ! Generally, Market share refers to sales but it canhave multiple definitions:

    ! Sales/Revenue Market Share: The percentage of salesaccounted for by that firm, within the product category.

    ! Volume Market Share: The percentage of units accountedfor by that firm, within the product category.

    ! Customer Market Share: The Percentage of customersthe firm has relative to the total customers

    Firm Sales / Total Market Sales

    Firm Units Sold/ Total Market Units Sold

    Firm Customers/ Total Customers

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    ! Toyota sold 178,500 Priuses in 2007, of350,000 hybrids in the US, giving it a marketshare of 51%.! However, 16M cars were sold in the US in 2007.

    !

    How large is the Prius overall market share?

    Firm Units Sold/ Total Market Units Sold

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    ! Impact of a product on company profits

    ! Using this expression, one can also compute

    the number of units that must be made andsold to achieve a specific profit target.

    ! Bridge Caf sells 500 plain bagels after

    buying the new display case. What is its profitimpact?

    Profit = (Unit Contribution*Units Sold) Fixed Costs

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    !

    CLV: the value of the entire stream of purchases that thecustomer would make over a lifetime of patronage.

    !

    Annual Profit per Customer: Average amount that a typicalcustomer would spend with the business, with expensessubtracted! Unit Contribution * Units per customer per year

    !

    Years as Customer: Typical length of time a customerspends with company

    Not all customers stay with a product the same length of time orhave the same annual profit. You may need to calculate separateCLVs for different years or different groups of customers to answersome questions.

    CLV = Annual Profit per Customer* Years as Customer

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    ! Note that this is heavily simplified CLV. Itdoes not account for:!

    Discounting profits over time! Retention Rate (mortality/attrition)

    ! Segments with different values/lifetimes

    CLV = Annual Profit per Customer* Years as Customer

    !#$& '+=

    +

    ()*=ri

    rmi

    rmt t

    t

    1)1(1

    m = margin

    i = discount rater = retention rate

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    ! P&G sells diapers to new parents. Newparents are typically diaper customers for 3

    years. Each new set of parents buys 30 packsof diapers a year, at an average price of $15per pack. P&G receive 10% of the retail priceas their unit contribution.

    ! What is the lifetime value of each new parent?

    CLV = Annual Profit per Customer* Years as Customer

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    ! $960 Annual Margin - 90% Retention 10%discount rate! CLV = (960)*(0.9)/(1+0.1-0.9) = $4320

    ! $960 Annual Margin - 80% Retention 10%discount rate

    ! CLV = (960)*(0.8)/(1+0.1-0.8) = $2563

    !

    $960 Annual Margin - 70% Retention 10%discount rate! CLV = (960)*(0.7)/(1+0.1-0.7) = $1680

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    ! Cost items are considered sunk when moneyhas already been spent!unrecoverable

    !

    Items usually included here are market research,R&D expenses that have already occurred in the

    past

    ! Why are they sunk?! Because you have already spent the money! Theres no turning back to say We shouldnt spend

    money on these! Therefore, it cannot be a factor in your decisions moving

    forward because no matter the course of action, themoney is gone.

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    ! Margin Analysis:understand where incentives lie! Retailer margins show you what products retailers push

    or want to feature.! Manufacturer margins show you which products are

    driving profits

    ! Break-Even Analysis: make decisions about newinvestments and product lines

    ! Market Share:understand the competitive

    position of the firm

    ! Customer Lifetime Value:the dollar value of acustomer, beyond a single sale

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    !

    Premium: the % of manufacturer price (retailercost) that is added to get to the retail price! Note the difference from margin

    !

    Depreciation: a method for accounting largefixed costs over time. Straight-line depreciationsimply divides the total investment by the years itshould be depreciated across.

    ! Return on Investment: ratio of net profit to theinvestment used to make the net profit

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    Unit Contribution = Revenue per unit Variable Costs per unit

    Margin = Unit Contribution / Revenue per Unit

    Break-Even Volume = Fixed Costs / Unit Contribution

    Market Share = Firm Sales / Total Market Sales

    (Market share can also be calculated for units or customers)

    Profit = (Unit Contribution*Units Sold) Fixed Costs

    CLV = Annual Profit per Customer* Years as Customer

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    ! Gucci is considering discontinuing its sunglassline. Gucci receives a unit contribution of $285for each pair of sunglasses. Each year, Guccisells 2,000 pairs. The manufacturing costs are

    $50K for the plant, $100K in salaries, $50K forads, and $120K for licensing.

    !

    What is the profit impact of this line?

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    ! Loyal Verizon customers spend an average of$720 annually on phone service. Verizongives each customer an annual $50 servicecredit, and spends $190 per customer per

    year on expenses related to service. A loyalcustomer spends an average of 5 years withthe company.

    ! What is the CLV of a typical Verizoncustomer?

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