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Power-Up Sales
   with the
Math Workshop
Topics
 Everyday challenges for sales, marketing and finance:
 1. GM, Cost, and Price Relationships
 2. Income (Expense), Profit (Loss), and GM Relationship
 3. Calculate Compound Annual Growth Rate (CAGR)
 4. Creating and using a Price Model
 5. The impact of price changes on Revenue and Profit
 6. Pareto Analysis (the 80/20 Rule)
 7. Calculate Monthly Quota for an Annual Forecast
 8. Calculate Quarterly Prices for a Step Price Proposal




Improving Performance                                      Page 2
Scenario’s
Improving Performance                Page 3
Scenario 1
 Cost, ASP, and GM
 Problem 1: Distributor says the competition is selling the product for
 $3.25, and his cost is $1.50.
 What is his GM?

 Problem 2: Distributor says he can’t charge more than $4.00, and he
 needs to make 25% GM on this deal.
 What does his cost need to be?

 Problem 3: The distributor cost is $7.25, and you know he is getting
 25% GM.
 What will his selling price be?



Improving Performance                                               Page 4
Scenario 2
 Income, Expense, and Profit
 Problem 4: Our GM is 50% and we want to buy a printer for $1,000,
 what amount of incremental income is required?

 Problem 5: Our GM is 5% and our ASP is $10, how many units do we
 need to sell to generate a profit of $2,000?

 Problem 6: Our income was $25M and COGS was $18M, what is our
 GM in percent?




Improving Performance                                            Page 5
Scenario 3
 Compound Annual Growth Rate (CAGR)
 Problem 7: CEO wants CAGR data in your report to the BOD
 (Note: each year referenced to 2000)

                                  $300,000



                                  $240,000
                        Revenue




                                  $180,000



                                  $120,000



                                   $60,000



                                       $0
                                              2000      2001       2002      2003       2004       2005       2006
                                   Revenue   $76,627   $111,389   $82,821   $136,111   $187,442   $256,620   $251,487




Improving Performance                                                                                                   Page 6
Scenario 4
 Price Model
 Problem 8: Marketing provided this Price Model, and you need to
 determine the GM for the missing unit quantities for your Price Book.

                                                                     GM vs Units

                    80.0%



                    70.0%
               GM




                    60.0%



                    50.0%
                                Price Model        1    10   100   500    1k       5k   10k       20k   50k   100k   1,000k
                                              82%      82%   80%         78%            70%                   55%      45%


                    40.0%
                            1                 10             100         1,000           10,000          100,000         1,000,000
                                                                         Units


Improving Performance                                                                                                                Page 7
Scenario 5
 Price Drop – Maintain Revenue
 Problem 9: Our Super Widget had a subtle, but constant price erosion
 of 5% in the second and third year after it was introduced. How many
 more units must be sold to meet the same revenue as when the
 SuperWidget was introduced?




Improving Performance                                            Page 8
Scenario 6
 Price Drop – Maintain Profit
 Problem 10: Our GM was 15%, and we decreased our ASP by 5%.
 How many more units must be sold?




Improving Performance                                          Page 9
Scenario 7
 Pareto Analysis, the 80/20 Rule
 Problem 11: Determine the vital few for new Key Accounts Program


                                  Cust        Rev
                              1    P         $350
                              2    F      $25,180
                              3    K       $7,885
                              4    L       $5,285
                              5    M       $4,327
                              6    D     $105,118
                              7    C     $116,038
                              8    A     $225,767
                              9    N       $3,840
                             10    I      $10,809
                             11    J       $8,770
                             12    E      $57,021
                             13    H      $11,456
                             14    B     $169,793
                             15    Q         $200
                             16    O         $856
                             17    G      $12,153
                                         $764,848

Improving Performance                                          Page 10
Scenario 8
 Forecast
 Problem 12: CEO wants a $10M annual quota with 14% growth.
 Calculate the monthly quota amounts that total $10M, and reflect the
 required growth.




Improving Performance                                            Page 11
Scenario 9
 Step Pricing
 Problem 13: You agreed to sell the client 2MU @ $4.00 each, but he
 will not commit to taking all 2M units.

 Determine quarterly prices, so that if he buys all 2M units his average
 price will be $4.00, but if he buys fewer units his price will be higher.




Improving Performance                                                  Page 12
Answers
Improving Performance             Page 13
GM, Cost, and Price
 Problem 1: Distributor says the competition is selling the product for
 $3.25, and his cost is $1.50.
 What is his GM?
 Solution: 53.85%

 Problem 2: Distributor says he can’t charge more than $4.00, and he
 needs to make 25% GM on this deal.
 What does his cost need to be?
 Solution: $3.00

 Problem 3: The distributor cost is $7.25, and you know he is getting
 25% GM.
 What will his selling price be?
 Solution: $9.67

Improving Performance                                               Page 14
Income, Expense, and Profit
 Problem 4: Our GM is 50% and we want to buy a printer for $1,000,
 what amount of incremental income is required?
 Solution: $2,000

 Problem 5: Our GM is 5% and our ASP is $10, how many units do we
 need to sell to generate a profit of $2,000?
 Solution: 4,000

 Problem 6: Our income was $25M and COGS was $18M, what is our
 GM in percent?
 Solution: 28%




Improving Performance                                            Page 15
Compound Annual Growth Rate
                              $300,000                                                                               50%
                                                                              1
                                                                        Yrn   n
                              $240,000
                                                            CAGR                   1 x100                            40%
                                                                        Yr1


                              $180,000                                                                               30%
                    Revenue




                                                                                                                           CAGR
                              $120,000                                                                               20%




                               $60,000                                                                               10%




                                   $0                                                                                0%
                                          2000      2001       2002       2003        2004      2005       2006
                               Revenue   $76,627   $111,389   $82,821   $136,111    $187,442   $256,620   $251,487
                               CAGR                45.37%     3.96%      21.11%      25.06%    27.34%     21.91%




 Problem 7: CEO wants CAGR data in your report to the BOD
 (Note: each year referenced to 2000)
 Solution: See data table
Improving Performance                                                                                                             Page 16
Price Model




                               y = -0.0362Ln(x) + 0.65




 Problem 8: Marketing provided this Price Model, and you need to
 determine the GM for the missing unit quantities for your Price Book.
 Solution: See equation y=mx+b (for logarithmic x axis)
Improving Performance                                              Page 17
Price Drop – Maintain Revenue
                     Price Erosion, Units to Maintain Revenue $
                  100%                                            95.31%
                                                                           Problem 9: Our Super Widget
                                                                           had a subtle, but constant price
                  80%
                                                       62.83%              erosion of 5% in the second and
  Unit Increase




                  60%
                                                                           third year after it was
                                    37.17%
                  40%                                                      introduced. How many more
                    16.64%
                  20%                                                      units must be sold to meet the
                   0%
                                                                           same revenue as when the
                         -5%         -10%               -15%      -20%
                                       Price Erosion in %                  SuperWidget was introduced?
                                        Yr 1    Yr 2      Yr 3
                                                                           Solution: 16.64%




 Note: A small price erosion, compounded over time, can amount to a large difference for the
 sales team to overcome.
Improving Performance                                                                                   Page 18
Price Drop – Maintain Profit
                                             Price Erosion, Units to Maintain Profit
                                100%
                                90%
                                80%
                                70%
                                60%
                                50%
                        Units




                                40%
                                30%
                                20%
                                10%
                                 0%
                                       50%       45%       40%   35%      30%   25%     20%    15%   10%

                                                                   GP

                                                       5% PE           10% PE         20% PE




 Problem 10: Our GM was 15%, and we decreased our ASP by 5%.
 How many more units must be sold?
 Solution: 50.0%

 Note: A small price drop requires much higher volume to maintain profitability with low GM
Improving Performance                                                                                      Page 19
Pareto Analysis, the 80/20 Rule
   Cust         Rev
                 Rev    Cum Rev    % Rev % Cum Rev % Cust
 1 AP       $225,767
               $350     $225,767   29.5%     29.5%   5.9%
 2 BF       $169,793
            $25,180     $395,560   22.2%     51.7% 11.8%
 3 KC       $116,038
             $7,885     $511,598   15.2%     66.9% 17.6%
 4 DL       $105,118
             $5,285     $616,716   13.7%     80.6% 23.5%
 5 ME        $57,021
             $4,327     $673,737    7.5%     88.1% 29.4%
 6 DF      $105,118
             $25,180    $698,917    3.3%     91.4% 35.3%
 7 GC      $116,038
             $12,153    $711,070    1.6%     93.0% 41.2%
 8 HA      $225,767
             $11,456    $764,848    1.5%     94.5% 47.1%
 9 NI        $10,809
             $3,840     $721,879    1.4%     95.9% 52.9%
10 JI       $10,809
              $8,770    $730,649    1.1%     97.0% 58.8%
11 KJ        $8,770
              $7,885    $738,534    1.0%     98.1% 64.7%
12 EL       $57,021
              $5,285    $743,819    0.7%     98.7% 70.6%
13 MH       $11,456
              $4,327    $748,146    0.6%     99.3% 76.5%
14 NB      $169,793
              $3,840    $751,986    0.5%     99.8% 82.4%
15 QO          $200
                $856    $752,842    0.1%     99.9% 88.2%
16 OP          $856
                $350    $753,192    0.0%    100.0% 94.1%
17 QG       $12,153
                $200    $753,392    0.0%    100.0% 100.0%
           $764,848
            $764,848




 Problem 11: Determine the vital few for new Key Accounts Program
 Solution: Customers A, B, C, and D should be Key Accounts
Improving Performance                                          Page 20
Forecast
                                                                                                                          Scenario 1
                                             Forecast                                                Given:   Quota ($)                Sn    10,000,000
                                                                                                     Given:   Growth Rate (%)          y         14.00%
   900,000                                                                                 887,850            First Term               a1          13
                                                                                    877,938                   Number of Terms          n           12
   880,000                                                                   868,026                          Difference               d         9,912
                                                                      858,114
   860,000                                                     848,202                                        Find: Term 1             a1      778,816
                                                        838,289                                               Find: Term 2             a2      788,728
   840,000                                       828,377                                                      Find: Term 3             a3      798,641

                                          818,465                                                             Find: Term 4             a4      808,553
   820,000                         808,553                                 y = 9912.2x + 768904               Find: Term 5             a5      818,465

                            798,641                                               R² = 1                      Find: Term 6             a6      828,377
   800,000           788,728                                                                                  Find: Term 7             a7      838,289

              778,816                                                                                         Find: Term 8             a8      848,202
   780,000                                                                                                    Find: Term 9             a9      858,114
                                                                                                              Find: Term 10            a10     868,026
   760,000                                                                                                    Find: Term 11            a11     877,938
                                                                                                              Find: Term 12            a12     887,850
   740,000                                                                                                                    Total          10,000,000
                                                                                                                                       Q1    2,366,185
   720,000                                                                                                                             Q2    2,455,395




                                                                                             a12
                                                                               a10


                                                                                      a11
                  a1


                        a2


                              a3


                                     a4


                                            a5


                                                   a6


                                                          a7


                                                                 a8


                                                                        a9
                                                                                                                                       Q3    2,544,605
                                                                                                                                       Q4    2,633,815
                                                                                                                                             10,000,000


 Problem 12: CEO wants a $10M annual quota with 14% growth.
 Calculate the monthly quota amounts that total $10M, and reflect the
 required growth.
 Solution: See table and graph above
Improving Performance                                                                                                                        Page 21
Step Pricing
                                                                                                    $/Mo        Units/Mo          ASP
                                   Step Pricing                    Find: Term 1          a1          720,721     166,667          4.32
                                                                   Find: Term 2          a2          710,893     166,667          4.27
                                                                   Find: Term 3          a3          701,065     166,667          4.21
               $5.20                                               Find: Term 4          a4          691,237     166,667          4.15
                                                                   Find: Term 5          a5          681,409     166,667          4.09
                                                                   Find: Term 6          a6          671,581     166,667          4.03
                                                                   Find: Term 7          a7          661,753     166,667          3.97
               $4.70
                                                                   Find: Term 8          a8          651,925     166,667          3.91
                        $4.27                                      Find: Term 9          a9          642,097     166,667          3.85
                                $4.09                              Find: Term 10         a10         632,269     166,667          3.79
               $4.20
  Price Each




                                                                   Find: Term 11         a11         622,441     166,667          3.73
                                                   $3.91
                                                                   Find: Term 12         a12         612,613     166,667          3.68
                                                           $3.73
                                                                                  Total Price       8,000,000   2,000,000
               $3.70
                                                                                         Q1     $       4.27                0     500,000
                                                                                         Q2     $       4.09        500,001     1,000,000
                                                                                         Q3     $       3.91      1,000,001     1,500,000
               $3.20                                                                     Q4     $       3.73      1,500,001     2,000,000
                                                                                   Avg Price $          4.00

               $2.70
                         Q1      Q2                 Q3      Q4
 Problem: 17                            Quarters


 Problem 13: You agreed to sell the client 2MU @ $4.00 each, but he
 will not commit to taking all 2M units. Determine quarterly prices, so
 that if he buys all 2M units his average price will be $4.00, but if he
 buys fewer units his price will be higher.
 Solution: See table and graph above
Improving Performance                                                                                                           Page 22
Contact Us
    Easy as 1-2-3 to learn more about Improving Performance
                              with the
                       Sales Math Workshop
                  1.                    2.                         3.



            +1.770.985.6599   john@corbittassociates.com   CorbittAssociates.com




Improving Performance                                                       Page 23

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Sales Math Workshop

  • 1. Power-Up Sales with the Math Workshop
  • 2. Topics Everyday challenges for sales, marketing and finance: 1. GM, Cost, and Price Relationships 2. Income (Expense), Profit (Loss), and GM Relationship 3. Calculate Compound Annual Growth Rate (CAGR) 4. Creating and using a Price Model 5. The impact of price changes on Revenue and Profit 6. Pareto Analysis (the 80/20 Rule) 7. Calculate Monthly Quota for an Annual Forecast 8. Calculate Quarterly Prices for a Step Price Proposal Improving Performance Page 2
  • 4. Scenario 1 Cost, ASP, and GM Problem 1: Distributor says the competition is selling the product for $3.25, and his cost is $1.50. What is his GM? Problem 2: Distributor says he can’t charge more than $4.00, and he needs to make 25% GM on this deal. What does his cost need to be? Problem 3: The distributor cost is $7.25, and you know he is getting 25% GM. What will his selling price be? Improving Performance Page 4
  • 5. Scenario 2 Income, Expense, and Profit Problem 4: Our GM is 50% and we want to buy a printer for $1,000, what amount of incremental income is required? Problem 5: Our GM is 5% and our ASP is $10, how many units do we need to sell to generate a profit of $2,000? Problem 6: Our income was $25M and COGS was $18M, what is our GM in percent? Improving Performance Page 5
  • 6. Scenario 3 Compound Annual Growth Rate (CAGR) Problem 7: CEO wants CAGR data in your report to the BOD (Note: each year referenced to 2000) $300,000 $240,000 Revenue $180,000 $120,000 $60,000 $0 2000 2001 2002 2003 2004 2005 2006 Revenue $76,627 $111,389 $82,821 $136,111 $187,442 $256,620 $251,487 Improving Performance Page 6
  • 7. Scenario 4 Price Model Problem 8: Marketing provided this Price Model, and you need to determine the GM for the missing unit quantities for your Price Book. GM vs Units 80.0% 70.0% GM 60.0% 50.0% Price Model 1 10 100 500 1k 5k 10k 20k 50k 100k 1,000k 82% 82% 80% 78% 70% 55% 45% 40.0% 1 10 100 1,000 10,000 100,000 1,000,000 Units Improving Performance Page 7
  • 8. Scenario 5 Price Drop – Maintain Revenue Problem 9: Our Super Widget had a subtle, but constant price erosion of 5% in the second and third year after it was introduced. How many more units must be sold to meet the same revenue as when the SuperWidget was introduced? Improving Performance Page 8
  • 9. Scenario 6 Price Drop – Maintain Profit Problem 10: Our GM was 15%, and we decreased our ASP by 5%. How many more units must be sold? Improving Performance Page 9
  • 10. Scenario 7 Pareto Analysis, the 80/20 Rule Problem 11: Determine the vital few for new Key Accounts Program Cust Rev 1 P $350 2 F $25,180 3 K $7,885 4 L $5,285 5 M $4,327 6 D $105,118 7 C $116,038 8 A $225,767 9 N $3,840 10 I $10,809 11 J $8,770 12 E $57,021 13 H $11,456 14 B $169,793 15 Q $200 16 O $856 17 G $12,153 $764,848 Improving Performance Page 10
  • 11. Scenario 8 Forecast Problem 12: CEO wants a $10M annual quota with 14% growth. Calculate the monthly quota amounts that total $10M, and reflect the required growth. Improving Performance Page 11
  • 12. Scenario 9 Step Pricing Problem 13: You agreed to sell the client 2MU @ $4.00 each, but he will not commit to taking all 2M units. Determine quarterly prices, so that if he buys all 2M units his average price will be $4.00, but if he buys fewer units his price will be higher. Improving Performance Page 12
  • 14. GM, Cost, and Price Problem 1: Distributor says the competition is selling the product for $3.25, and his cost is $1.50. What is his GM? Solution: 53.85% Problem 2: Distributor says he can’t charge more than $4.00, and he needs to make 25% GM on this deal. What does his cost need to be? Solution: $3.00 Problem 3: The distributor cost is $7.25, and you know he is getting 25% GM. What will his selling price be? Solution: $9.67 Improving Performance Page 14
  • 15. Income, Expense, and Profit Problem 4: Our GM is 50% and we want to buy a printer for $1,000, what amount of incremental income is required? Solution: $2,000 Problem 5: Our GM is 5% and our ASP is $10, how many units do we need to sell to generate a profit of $2,000? Solution: 4,000 Problem 6: Our income was $25M and COGS was $18M, what is our GM in percent? Solution: 28% Improving Performance Page 15
  • 16. Compound Annual Growth Rate $300,000 50% 1 Yrn n $240,000 CAGR 1 x100 40% Yr1 $180,000 30% Revenue CAGR $120,000 20% $60,000 10% $0 0% 2000 2001 2002 2003 2004 2005 2006 Revenue $76,627 $111,389 $82,821 $136,111 $187,442 $256,620 $251,487 CAGR 45.37% 3.96% 21.11% 25.06% 27.34% 21.91% Problem 7: CEO wants CAGR data in your report to the BOD (Note: each year referenced to 2000) Solution: See data table Improving Performance Page 16
  • 17. Price Model y = -0.0362Ln(x) + 0.65 Problem 8: Marketing provided this Price Model, and you need to determine the GM for the missing unit quantities for your Price Book. Solution: See equation y=mx+b (for logarithmic x axis) Improving Performance Page 17
  • 18. Price Drop – Maintain Revenue Price Erosion, Units to Maintain Revenue $ 100% 95.31% Problem 9: Our Super Widget had a subtle, but constant price 80% 62.83% erosion of 5% in the second and Unit Increase 60% third year after it was 37.17% 40% introduced. How many more 16.64% 20% units must be sold to meet the 0% same revenue as when the -5% -10% -15% -20% Price Erosion in % SuperWidget was introduced? Yr 1 Yr 2 Yr 3 Solution: 16.64% Note: A small price erosion, compounded over time, can amount to a large difference for the sales team to overcome. Improving Performance Page 18
  • 19. Price Drop – Maintain Profit Price Erosion, Units to Maintain Profit 100% 90% 80% 70% 60% 50% Units 40% 30% 20% 10% 0% 50% 45% 40% 35% 30% 25% 20% 15% 10% GP 5% PE 10% PE 20% PE Problem 10: Our GM was 15%, and we decreased our ASP by 5%. How many more units must be sold? Solution: 50.0% Note: A small price drop requires much higher volume to maintain profitability with low GM Improving Performance Page 19
  • 20. Pareto Analysis, the 80/20 Rule Cust Rev Rev Cum Rev % Rev % Cum Rev % Cust 1 AP $225,767 $350 $225,767 29.5% 29.5% 5.9% 2 BF $169,793 $25,180 $395,560 22.2% 51.7% 11.8% 3 KC $116,038 $7,885 $511,598 15.2% 66.9% 17.6% 4 DL $105,118 $5,285 $616,716 13.7% 80.6% 23.5% 5 ME $57,021 $4,327 $673,737 7.5% 88.1% 29.4% 6 DF $105,118 $25,180 $698,917 3.3% 91.4% 35.3% 7 GC $116,038 $12,153 $711,070 1.6% 93.0% 41.2% 8 HA $225,767 $11,456 $764,848 1.5% 94.5% 47.1% 9 NI $10,809 $3,840 $721,879 1.4% 95.9% 52.9% 10 JI $10,809 $8,770 $730,649 1.1% 97.0% 58.8% 11 KJ $8,770 $7,885 $738,534 1.0% 98.1% 64.7% 12 EL $57,021 $5,285 $743,819 0.7% 98.7% 70.6% 13 MH $11,456 $4,327 $748,146 0.6% 99.3% 76.5% 14 NB $169,793 $3,840 $751,986 0.5% 99.8% 82.4% 15 QO $200 $856 $752,842 0.1% 99.9% 88.2% 16 OP $856 $350 $753,192 0.0% 100.0% 94.1% 17 QG $12,153 $200 $753,392 0.0% 100.0% 100.0% $764,848 $764,848 Problem 11: Determine the vital few for new Key Accounts Program Solution: Customers A, B, C, and D should be Key Accounts Improving Performance Page 20
  • 21. Forecast Scenario 1 Forecast Given: Quota ($) Sn 10,000,000 Given: Growth Rate (%) y 14.00% 900,000 887,850 First Term a1 13 877,938 Number of Terms n 12 880,000 868,026 Difference d 9,912 858,114 860,000 848,202 Find: Term 1 a1 778,816 838,289 Find: Term 2 a2 788,728 840,000 828,377 Find: Term 3 a3 798,641 818,465 Find: Term 4 a4 808,553 820,000 808,553 y = 9912.2x + 768904 Find: Term 5 a5 818,465 798,641 R² = 1 Find: Term 6 a6 828,377 800,000 788,728 Find: Term 7 a7 838,289 778,816 Find: Term 8 a8 848,202 780,000 Find: Term 9 a9 858,114 Find: Term 10 a10 868,026 760,000 Find: Term 11 a11 877,938 Find: Term 12 a12 887,850 740,000 Total 10,000,000 Q1 2,366,185 720,000 Q2 2,455,395 a12 a10 a11 a1 a2 a3 a4 a5 a6 a7 a8 a9 Q3 2,544,605 Q4 2,633,815 10,000,000 Problem 12: CEO wants a $10M annual quota with 14% growth. Calculate the monthly quota amounts that total $10M, and reflect the required growth. Solution: See table and graph above Improving Performance Page 21
  • 22. Step Pricing $/Mo Units/Mo ASP Step Pricing Find: Term 1 a1 720,721 166,667 4.32 Find: Term 2 a2 710,893 166,667 4.27 Find: Term 3 a3 701,065 166,667 4.21 $5.20 Find: Term 4 a4 691,237 166,667 4.15 Find: Term 5 a5 681,409 166,667 4.09 Find: Term 6 a6 671,581 166,667 4.03 Find: Term 7 a7 661,753 166,667 3.97 $4.70 Find: Term 8 a8 651,925 166,667 3.91 $4.27 Find: Term 9 a9 642,097 166,667 3.85 $4.09 Find: Term 10 a10 632,269 166,667 3.79 $4.20 Price Each Find: Term 11 a11 622,441 166,667 3.73 $3.91 Find: Term 12 a12 612,613 166,667 3.68 $3.73 Total Price 8,000,000 2,000,000 $3.70 Q1 $ 4.27 0 500,000 Q2 $ 4.09 500,001 1,000,000 Q3 $ 3.91 1,000,001 1,500,000 $3.20 Q4 $ 3.73 1,500,001 2,000,000 Avg Price $ 4.00 $2.70 Q1 Q2 Q3 Q4 Problem: 17 Quarters Problem 13: You agreed to sell the client 2MU @ $4.00 each, but he will not commit to taking all 2M units. Determine quarterly prices, so that if he buys all 2M units his average price will be $4.00, but if he buys fewer units his price will be higher. Solution: See table and graph above Improving Performance Page 22
  • 23. Contact Us Easy as 1-2-3 to learn more about Improving Performance with the Sales Math Workshop 1. 2. 3. +1.770.985.6599 john@corbittassociates.com CorbittAssociates.com Improving Performance Page 23