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RESEARCH SOLUTIONS




                                              Solutions
                                              .....................................................................................


                                                                              Price                              Optimization
                                                                                                                                                   Jeffry Savitz



                                              I
...........................
                                                n today’s recessionary economy, PRICE is a much more critical element of the marketing
 In today’s recessionary                        mix than ever. Yet, there is but one price or rate card, in the case of a line of products, that
                                              maximizes profit. A lower price leads to higher demand but limited margins. A higher price
      economy, PRICE is a                     leads to higher margins but limited demand. Both cases miss the mark in terms of maximizing
                                              profitability.
        much more critical
                                              At Savitz Research Solutions, we have three pricing models proven to maximize profits.
                element of the
                                              I. Maximizes the profit for a single product which is already on the market or in the planning
      marketing mix than
                                              stage.
                                  ever.
                                              II. Maximizes the combined profit for a line of products which cannibalize each other and
...........................                   may actually recommend dropping one of the products out of the line to increase profits even
                                              further.

                                              III. Examines alternate designs of the same product and determines the optimal product-price
                                              combination.

                                              Here is an example of Model II where the client was able to determine the optimal rate card for
                                              a line of products that cannibalize each other.

  TABLE A

 Current Line of Mixers O ered
        Model              Retail Price                 Unit Pro t            Case History1
 Sunbeam Hand Mixer         $12.82                        $2.57               To understand the model, let’s look at a case history. A well-known national
 Hamilton Beach 5-speed       19.97                        4.63
                                                                              department store chain sold a line of seven different mixers shown in Table A
 Black & Decker Spatula       21.92                        3.93
 Sunbeam Burst of Power       22.97                        4.22               along with retail prices and unit profit margins for each model.
 Sunbeam Professional         39.97                        7.97
 Kitchen Aid 3-speed          44.97                        8.97
 Kitchen Aid 5-speed Ultra    54.97                       13.97

...........................
                                              Data Collection
    By simply optimizing                      A random sample of the chain’s customers who indicated they were likely to buy a mixer in the
                                              next year were pre-recruited to central locations. Respondents were shown a display of the
      the price, the client                   mixers, similar to what they would see in the store, complete with descriptions but without any
                                              prices. They were asked to examine the line of mixers as if they were in the store shopping.
         could increase the

    bottom-line by 33%!
...........................
                                              1 The data has been disguised for purposes of client confidentiality.
 Copyright, Savitz Research Solutions, 2009
Bottom-line research solutions to your marketing problems.
      RESEARCH SOLUTIONS                        ......................................................................................

                                                                                      The respondents were next shown a series of eight sample cards
                                                                                      (similar to Exhibit 1). They were told that each card listed the mixers
EXHIBIT 1                                                                             with particular prices. (We tested prices within +10% of the retail
                                                                                      price.) Their task was to indicate how likely they would be to buy
                            Sample Card                                               each model on each card so that their answers added to 100%.

        Model              Retail Price                       Likelihood to Buy       They always had the option of choosing not to buy any of the models
 Sunbeam Hand Mixer          $12.82                                  ______ %
                                                                      ______          by assigning 100% to the slot “Would Purchase Mixer Elsewhere.”
 Hamilton Beach 5-speed       19.97                                  ______ %
                                                                      ______          In addition, they were told that some of the cards had one or more
                            Model Not
 Black & Decker Spatula                                              ______ %
                                                                      _N/A _
                                                                       ____
                             Available                                                mixers marked “Model Not Available,” which meant that model had
 Sunbeam Burst of Power       25.27                                  ______ %
                                                                      ______
                                                                                      been discontinued and they could not indicate any likelihood of
 Sunbeam Professional         35.97                                  ______ %
                                                                      ______
                                                                                      buying it.
 Kitchen Aid 3-speed          49.47                                  ______ %
                                                                      ______
 Kitchen Aid 5-speed Ultra    60.47                                  ______ %
                                                                      ______
 Would Purchase Mixer
   Elsewhere                                                        ______ %
                                                                    ______
                                                                     = 100%




                                                  Current Line Price
                                                  The Pricing Optimization Model uses a special form of conjoint analysis (discrete choice) to
                                                  determine the demand for each mixer, for any set of prices. Our first application of the model is
                                                  to examine the demand and profit curves under the current pricing strategy.

                                                  After calibrating the model to match actual sales statistics, we found that 9.6% of the
                                                  respondents would not buy any of the models and that the average profit was $4.87 per
                                                  shopper (Table B).

    TABLE B                                                                                                        Current Line Price
                                                                                                                   We were also able to derive the optimal
                             Current vs. Optimal Price                                                             pricing strategy for the entire line of
                                                                                                                   mixers; that is, the set of prices that would
                                              Current Price                       Optimal Price
                                                         Unit                  % Increase    Unit     % Increase
                                                                                                                   maximize profit across the entire line (Table
          Model                               Price     Profit        Price     in Price    Profit     in Profit   B). We found that by increasing the prices
Sunbeam Hand Mixer                           $12.82    $2.57         $14.10       10.0%     $3.85     49.8%        7% to 10%, the profit per shopper could be
Hamilton Beach 5-speed                        19.97      4.63         21.97        10.0      6.63       43.1       increased from $4.87 to $6.50 with little
Black & Decker Spatula                        21.92      3.93         24.12        10.0      6.13       56.0       increase in the percentage who wouldn’t buy
Sunbeam Burst of Power                        22.97      4.22         25.27        10.0      6.52       54.5       (9.6% up to 11.1%).
Sunbeam Professional                          39.97      7.97         43.97        10.0     11.97       50.1
                                                                                                                   This represents an increase of 33% on the
Kitchen Aid 3-speed                           44.97      8.97         48.29          7.3    12.29       37.0
                                                                                                                   bottom line!
Kitchen Aid 5-speed Ultra                     54.97    13.97          58.83          7.0    17.83       27.6
Buy Elsewhere                                           9.6%                                11.1%
PROFIT PER SHOPPER                                     $4.87                                $6.50      33.3%




Copyright, Savitz Research Solutions, 2009                                                   Page 2
Bottom-line research solutions to your marketing problems.
......................................................................................                                           RESEARCH SOLUTIONS




Optimal Line, Optimal Price
Using the same model we were also able to determine the effect of                                                                    TABLE C
dropping each one of the seven mixers out of the line, individually.
                                                                                    Effect of Eliminating One Model
The average profit per shopper that would be realized as each                                                            % Buying Profit Per
                                                                                  Model Eliminated                       Elsewhere Shopper
mixer is dropped from the line is shown in Table C. For example, if             Sunbeam Hand Mixer - Optimal Price         12.7%    $7.07
the most expensive Kitchen Aid 5-speed Ultra is discontinued, the               Hamilton Beach 5-speed - Optimal Price      11.5     6.32
average profit per shopper will be $5.87.                                       Black & Decker Spatula - Optimal Price      15.2     6.64
                                                                                Sunbeam Burst of Power - Optimal Price      13.9     6.50
By discontinuing either the Black & Decker Spatula or the Sunbeam               Sunbeam Professional - Optimal Price        12.4     6.05
                                                                                Kitchen Aid 3-speed - Optimal Price         10.9     6.34
Hand Mixer, and optimizing the prices of the six-model line, the
                                                                                Kitchen Aid 5-speed Ultra - Optimal Price 11.1       5.87
chain can achieve a higher profit than by maintaining the full line             None - Current Price                         9.6     4.87
with optimal prices.                                                            None - Optimal Price                        11.1     6.50

Clearly, the best strategy is to discontinue the cheapest model, the
                                                                                                                ...........................
Sunbeam Hand Mixer, and the profit increases to $7.07 under optimal pricing. This represents a
45% increase in profit over the full line of products at current prices.                                        By dropping the least

                                                                                                                expensive model

                                                                                                                out of the line and

                                                                                                                optimizing the pricing

                                                                                                                schedule, the client

                                                                                                                could increase profits

                                                                                                                by 45%!

                                                                                                                ...........................


Hail Sunbeam!                                                                                                                       TABLE D
Indeed, Table D shows what happens when the
Sunbeam Hand Mixer is discontinued. Since                     Current vs. Optimal Price and Line
this is the cheapest model, one might expect
those who would have bought this model if it                                       Current Price & Line           Optimal Price & Line
                                                                                                       Unit                                     Unit
were available, to buy the second cheapest                 Model                  Price   Share       Profit    Price         Share            Profit
model. Table D says otherwise. Apparently,          Sunbeam Hand Mixer          $12.82    12.0%      $2.57       DISCONTINUED
people would switch to other Sunbeam models!        Hamilton Beach 5-speed       19.97      10.6      4.63     $21.97 10.9%  $6.63
Even though one of the three Sunbeam                Black & Decker Spatula       21.92      34.8      3.93      24.12   30.4  6.13
products is discontinued, Sunbeam’s total           Sunbeam Burst of Power       22.97      11.3      4.22      25.27   24.1  6.52
share increased from 28.1% to 34.5%.                Sunbeam Professional         39.97       4.8      7.97      43.97   10.4 11.97
                                                    Kitchen Aid 3-speed          44.97      10.3      8.97      47.92    3.6 11.92
                                                    Kitchen Aid 5-speed Ultra   54.97        6.6     13.97      56.75    7.9 15.75
                                                    BUY ELSEWHERE                            9.6                       12.7
                                                    PER SHOPPER                              100%    $4.87             100%  $7.07

                                                                   Sunbeam’s Share         28.1%                                    34.5%


                                                              Page 3                                             Copyright, Savitz Research Solutions, 2009
Bottom-line research solutions to your marketing problems.
      RESEARCH SOLUTIONS                     ......................................................................................

                                              Current Line Minus Two
                                              We could have taken the analysis further and examined the profitability when two or three of
                                              the models are dropped from the line. However, our client felt that regardless of any positive
                                              financial impact of discontinuing more than one model, it would be inconsistent with the image
                                              of a retailer that offers a wide variety of brand name merchandise to the public. Therefore, we
                                              never examined this possibility.

                                              SUMMARY
                                              The three OPTIMAL PRICING models determine the price or rate card which maximizes profits
                                              from a single product or line of products in the marketplace or in concept form. In all studies
                                              we have completed to date, we have found that significant profits are being left on the table
                                              because firms charge prices other than the ones suggested by the pricing models.

                                              If you would like to do research to determine the price/rate card that maximizes your profit,
                                              call us at Savitz Research Solutions. You, too, may be able to add 33% to 45% to your bottom
                                              line!




           Call
Savitz Research Solutions

   972-386-4050
www.savitzresearch.com
Copyright, Savitz Research Solutions, 2009                                    Page 4

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Jeff Savitz - Price Optimization

  • 1. RESEARCH SOLUTIONS Solutions ..................................................................................... Price Optimization Jeffry Savitz I ........................... n today’s recessionary economy, PRICE is a much more critical element of the marketing In today’s recessionary mix than ever. Yet, there is but one price or rate card, in the case of a line of products, that maximizes profit. A lower price leads to higher demand but limited margins. A higher price economy, PRICE is a leads to higher margins but limited demand. Both cases miss the mark in terms of maximizing profitability. much more critical At Savitz Research Solutions, we have three pricing models proven to maximize profits. element of the I. Maximizes the profit for a single product which is already on the market or in the planning marketing mix than stage. ever. II. Maximizes the combined profit for a line of products which cannibalize each other and ........................... may actually recommend dropping one of the products out of the line to increase profits even further. III. Examines alternate designs of the same product and determines the optimal product-price combination. Here is an example of Model II where the client was able to determine the optimal rate card for a line of products that cannibalize each other. TABLE A Current Line of Mixers O ered Model Retail Price Unit Pro t Case History1 Sunbeam Hand Mixer $12.82 $2.57 To understand the model, let’s look at a case history. A well-known national Hamilton Beach 5-speed 19.97 4.63 department store chain sold a line of seven different mixers shown in Table A Black & Decker Spatula 21.92 3.93 Sunbeam Burst of Power 22.97 4.22 along with retail prices and unit profit margins for each model. Sunbeam Professional 39.97 7.97 Kitchen Aid 3-speed 44.97 8.97 Kitchen Aid 5-speed Ultra 54.97 13.97 ........................... Data Collection By simply optimizing A random sample of the chain’s customers who indicated they were likely to buy a mixer in the next year were pre-recruited to central locations. Respondents were shown a display of the the price, the client mixers, similar to what they would see in the store, complete with descriptions but without any prices. They were asked to examine the line of mixers as if they were in the store shopping. could increase the bottom-line by 33%! ........................... 1 The data has been disguised for purposes of client confidentiality. Copyright, Savitz Research Solutions, 2009
  • 2. Bottom-line research solutions to your marketing problems. RESEARCH SOLUTIONS ...................................................................................... The respondents were next shown a series of eight sample cards (similar to Exhibit 1). They were told that each card listed the mixers EXHIBIT 1 with particular prices. (We tested prices within +10% of the retail price.) Their task was to indicate how likely they would be to buy Sample Card each model on each card so that their answers added to 100%. Model Retail Price Likelihood to Buy They always had the option of choosing not to buy any of the models Sunbeam Hand Mixer $12.82 ______ % ______ by assigning 100% to the slot “Would Purchase Mixer Elsewhere.” Hamilton Beach 5-speed 19.97 ______ % ______ In addition, they were told that some of the cards had one or more Model Not Black & Decker Spatula ______ % _N/A _ ____ Available mixers marked “Model Not Available,” which meant that model had Sunbeam Burst of Power 25.27 ______ % ______ been discontinued and they could not indicate any likelihood of Sunbeam Professional 35.97 ______ % ______ buying it. Kitchen Aid 3-speed 49.47 ______ % ______ Kitchen Aid 5-speed Ultra 60.47 ______ % ______ Would Purchase Mixer Elsewhere ______ % ______ = 100% Current Line Price The Pricing Optimization Model uses a special form of conjoint analysis (discrete choice) to determine the demand for each mixer, for any set of prices. Our first application of the model is to examine the demand and profit curves under the current pricing strategy. After calibrating the model to match actual sales statistics, we found that 9.6% of the respondents would not buy any of the models and that the average profit was $4.87 per shopper (Table B). TABLE B Current Line Price We were also able to derive the optimal Current vs. Optimal Price pricing strategy for the entire line of mixers; that is, the set of prices that would Current Price Optimal Price Unit % Increase Unit % Increase maximize profit across the entire line (Table Model Price Profit Price in Price Profit in Profit B). We found that by increasing the prices Sunbeam Hand Mixer $12.82 $2.57 $14.10 10.0% $3.85 49.8% 7% to 10%, the profit per shopper could be Hamilton Beach 5-speed 19.97 4.63 21.97 10.0 6.63 43.1 increased from $4.87 to $6.50 with little Black & Decker Spatula 21.92 3.93 24.12 10.0 6.13 56.0 increase in the percentage who wouldn’t buy Sunbeam Burst of Power 22.97 4.22 25.27 10.0 6.52 54.5 (9.6% up to 11.1%). Sunbeam Professional 39.97 7.97 43.97 10.0 11.97 50.1 This represents an increase of 33% on the Kitchen Aid 3-speed 44.97 8.97 48.29 7.3 12.29 37.0 bottom line! Kitchen Aid 5-speed Ultra 54.97 13.97 58.83 7.0 17.83 27.6 Buy Elsewhere 9.6% 11.1% PROFIT PER SHOPPER $4.87 $6.50 33.3% Copyright, Savitz Research Solutions, 2009 Page 2
  • 3. Bottom-line research solutions to your marketing problems. ...................................................................................... RESEARCH SOLUTIONS Optimal Line, Optimal Price Using the same model we were also able to determine the effect of TABLE C dropping each one of the seven mixers out of the line, individually. Effect of Eliminating One Model The average profit per shopper that would be realized as each % Buying Profit Per Model Eliminated Elsewhere Shopper mixer is dropped from the line is shown in Table C. For example, if Sunbeam Hand Mixer - Optimal Price 12.7% $7.07 the most expensive Kitchen Aid 5-speed Ultra is discontinued, the Hamilton Beach 5-speed - Optimal Price 11.5 6.32 average profit per shopper will be $5.87. Black & Decker Spatula - Optimal Price 15.2 6.64 Sunbeam Burst of Power - Optimal Price 13.9 6.50 By discontinuing either the Black & Decker Spatula or the Sunbeam Sunbeam Professional - Optimal Price 12.4 6.05 Kitchen Aid 3-speed - Optimal Price 10.9 6.34 Hand Mixer, and optimizing the prices of the six-model line, the Kitchen Aid 5-speed Ultra - Optimal Price 11.1 5.87 chain can achieve a higher profit than by maintaining the full line None - Current Price 9.6 4.87 with optimal prices. None - Optimal Price 11.1 6.50 Clearly, the best strategy is to discontinue the cheapest model, the ........................... Sunbeam Hand Mixer, and the profit increases to $7.07 under optimal pricing. This represents a 45% increase in profit over the full line of products at current prices. By dropping the least expensive model out of the line and optimizing the pricing schedule, the client could increase profits by 45%! ........................... Hail Sunbeam! TABLE D Indeed, Table D shows what happens when the Sunbeam Hand Mixer is discontinued. Since Current vs. Optimal Price and Line this is the cheapest model, one might expect those who would have bought this model if it Current Price & Line Optimal Price & Line Unit Unit were available, to buy the second cheapest Model Price Share Profit Price Share Profit model. Table D says otherwise. Apparently, Sunbeam Hand Mixer $12.82 12.0% $2.57 DISCONTINUED people would switch to other Sunbeam models! Hamilton Beach 5-speed 19.97 10.6 4.63 $21.97 10.9% $6.63 Even though one of the three Sunbeam Black & Decker Spatula 21.92 34.8 3.93 24.12 30.4 6.13 products is discontinued, Sunbeam’s total Sunbeam Burst of Power 22.97 11.3 4.22 25.27 24.1 6.52 share increased from 28.1% to 34.5%. Sunbeam Professional 39.97 4.8 7.97 43.97 10.4 11.97 Kitchen Aid 3-speed 44.97 10.3 8.97 47.92 3.6 11.92 Kitchen Aid 5-speed Ultra 54.97 6.6 13.97 56.75 7.9 15.75 BUY ELSEWHERE 9.6 12.7 PER SHOPPER 100% $4.87 100% $7.07 Sunbeam’s Share 28.1% 34.5% Page 3 Copyright, Savitz Research Solutions, 2009
  • 4. Bottom-line research solutions to your marketing problems. RESEARCH SOLUTIONS ...................................................................................... Current Line Minus Two We could have taken the analysis further and examined the profitability when two or three of the models are dropped from the line. However, our client felt that regardless of any positive financial impact of discontinuing more than one model, it would be inconsistent with the image of a retailer that offers a wide variety of brand name merchandise to the public. Therefore, we never examined this possibility. SUMMARY The three OPTIMAL PRICING models determine the price or rate card which maximizes profits from a single product or line of products in the marketplace or in concept form. In all studies we have completed to date, we have found that significant profits are being left on the table because firms charge prices other than the ones suggested by the pricing models. If you would like to do research to determine the price/rate card that maximizes your profit, call us at Savitz Research Solutions. You, too, may be able to add 33% to 45% to your bottom line! Call Savitz Research Solutions 972-386-4050 www.savitzresearch.com Copyright, Savitz Research Solutions, 2009 Page 4