(1) assess the true profitability of an existing
portfolio (the mix of customers and products sold by a firm); and
3. The
Average Monthly TAU indices were calculated as described in the previous article.
As shown by the data in Table I, the average monthly
profit generated from this portfolio is $4,640,378.60. The next step in the CPR
process is to determine the major source of variability associated with the
Average Monthly Profit/Unit generated by each product and customer in the
current mix. Treating the monthly data as a random sequence of n = 12 observations, a Two-Way ANOVA is conducted using SPSS for
WindowsÔ. The results appear as shown in
Table II.
Table II
Two Way ANOVA for Revenue
Data

As shown by this table, the majority
of the variability in the model associated with Revenue is a function of the
Product category (refer to the MS column, which represents variance). In fact,
66.94% of the variability in Revenue ( w2 ) is directly associated with
the Product sold. Although there is a significant interaction
between the Customer and Product sold, this effect is only 5.10% of the
variability observed. It makes sense in this case, therefore, to concentrate
our portfolio improvement (for profitability purposes) on the Products we have
chosen to sell. Illustration I, below, provides a visual display of these data,
showing why the analysis resulted in the Product category yielding the most
promising opportunity.
Illustration I

The
next step is to conduct a second Two-Way ANOVA, with the Average Monthly TAU
indices as the dependent variable. Table III presents the results of this
analysis.
Table III
Two Way ANOVA for TAU Data

As shown by the data in Table III, ‘Product’ is the
only variable reflecting significant differences in monthly Average TAU
indices. Illustration II, which follows, presents a visual depiction of these
data.
Illustration II

The third step in the CPR process is
to determine those components of the TAU model which serve as predictors for
productivity (simply measured at this point in terms of the number of Units
produced), within each Product group (‘Units’). These data would have been
collected and aggregated during the period of study preparing for this
analysis. As described in the previous article, it would not
typically be expected that (a) there would be a significant and important
statistical relationship between TAU and Units; and (b) the same regression
model would be serviceable for predicting productivity across all product
groups. Table IV reflects the results of this analysis.
Table IV

As shown by the Regression data, the
models that would predict productivity as generated from the TAU database vary
significantly. While Duty Cycle, Availability, and Efficiency (in that order)
would be used to predict Units for Product 1, for example, only Availability
and Efficiency (respectively) would be used in conjunction with Products 3 and
4. Further, Yield is a significant component only in conjunction with Product
2, reinforcing the observations related to Quality presented in the first
article.
The next step is to utilize the
individual regression models to predict the number of units that would be
produced at the current TAU levels, and at the current Customer mix, if only
that Product were to be manufactured. Utilizing the principles stated in the
first article for these calculations, Table V presents the results of this
exercise, including an estimate for potential monthly profit using current
average invoice (Revenue) levels. The profitability of each Product has been
generated for both the observed component mean values, and the M.O.E. (Moment
of Excellence) values for each component within each Product. The result of the
ANOVA over the TAU data allows us to use a single prediction model for all
Customers within each Product category. Had this not been the case,
differentiated models would have to be generated and deployed.
Finally, the Customer mix within
each Product category was calculated from within, versus across, all Product
groups from the historical data base. For example, the Customer mix for Product
category 1 was calculated as 21% (810/3849), 63% (2431/3849), and 16%
(608/3849), respectively.
Table V
Potential Portfolio Analysis
|
Product
|
Regression Model for Unit* Prediction
|
Calculations Based Upon Observed Mean
Values
|
Calculations
Based Upon Observed M.O.E. Values
|
|
Component Values
|
Predicted Number of Average Units
|
Estimated Monthly Profitability
|
Component Values
|
Predicted Number of Average Units
|
Estimated Monthly Profitability
|
|
1
|
Y’ = 6044.705 +
5806.979(DC) +
3557.41(AV) +
1598.634(EFF)
|
DC = 0.7233
AV = 0.8567
EFF
= 0.5008
|
14,093
|
$4,426,179.80
2959*332.95
+
8879*312.76
+
2255*294.45
|
DC = 0.8100
AV = 0.9000
EFF
= 0.5500
|
14,829
|
$4,657,340.10
3114*332.95
+
9342*312.76
+
2373*294.45
|
|
2
|
Y’ = 617.076 +
5785.372(DC) +
2942.494(AV) +
9081.071(YLD)
|
DC = 0.7042
AV = 0.7183
YLD
= .9800
|
15,704
|
$3,994,689.90
3926*279.98
+
3141*247.98
+
8637*245.06
|
DC = 0.7500
AV = 0.7900
YLD
= 1.000
|
16,362
|
$4,162,083.70
4091*279.98
+
3272*247.98
+
8999*245.06
|
|
3
|
Y’ = 2767.541 +
8234.548(AV) +
8084.202(EFF)
|
AV = 0.8753
EFF
= 0.9283
|
17,480
|
$4,977,422.50
6642*292.75
+
8740*283.36
+
2098*265.21
|
AV = 0.9100
EFF
= 0.9800
|
18,184
|
$5,177,536.20
6910*292.75
+
9092*283.36
+
2182*265.21
|
|
4
|
Y’ = 2817.641 +
8823.93(AV) +
8160.779(EFF)
|
AV = 0.9675
EFF
= 0.7575
|
17,537
|
$5,181,769.50
2062*298.64
+
12379*296.29
+
3095*290.21
|
AV = 0.9900
EFF
= 0.8200
|
18,245
|
$5,391,276.60
2146*298.64
+
12879*296.29
+
3220*290.21
|
* The
measure of productivity used by the firm
Summary
The steps we have employed in
illustrating a CPR analysis to this point are as follows:
1. The development of an data
base for concurrent productivity and TAU analysis, with linkage to Sales,
(Activity-Based) Cost, and Profitability data.
2. The databases were then
analyzed with the use of multiple ANOVA assessments to determine (a) the
significant contributors to Profitability of the products sold by Product
Category and Customer; and (b) to determine whether Product Category or
Customer yielded significant differences in TAU indices.
3. Using the results of the
ANOVAs, regression models were generated to allow for the prediction of
productivity within the appropriate Customer / Product categories.
4. The regression models were
then employed to conduct a Potential Portfolio analysis (Table V).
The
potential portfolio analysis reveals a number of interesting observations,
which would not normally have appeared as intuitively obvious when simply
inspecting the descriptive data in the previous tables.
(1) A cursory review of Table I
might lead one to assume that Product 1 represented the best chance for the
company to increase its profitability. In fact, when the TAU analysis is
employed, this category is revealed to be the third most profitable for the
company, despite its apparent advantage in margin per ton. In terms of asset dollars generated (the total number of dollars in profit per unit which could
be generated on an equalized time basis) Products 4 and 3 are superior. Their
lower margin per unit is more than offset by the degree to which they are
‘friendlier’ to the production facility.
(2) The current monthly profit
for the existing mix is $4,640,378.60. If the same capacity were utilized to produce and
sell only Product 4, without any change in current productivity levels as
measured by the TAU index, the potential profitability for the same facility
would be $5,181,769.60; or 11.67% more. If the productivity associated with
Product 4 were to be raised to only the M.O.E. levels, the TAU index for the
product category would shift from 0.59 to 0.71 (at little or no cost in capital
investment). This change would represent an increase in monthly profitability
to $5,391,276.60, or a 16% increase over current state. If the mix within this
category could be shifted toward Customer 1, and away from Customer 3, the
change in profit level would increase even more.
(3) Of course, the author is
not suggesting that in this (or any actual) case, 100% of all of Product 4 which the
facility could produce could actually be sold to the existing Customers at the
higher unit levels. The discussion in item 2., above, is intended for
illustrative purposes only. What is true, however, is that a matrix
of this type could be used in a horizontally integrated effort to increase
sales in the more truly profitable Product / Customer categories; the stated definition
of CPR. One could easily calculate the
effect of a 10% shift away from Product 2, for example, if the sales were
re-allocated to (again, for example) Customer 1, for Products 3 and 4. If this
activity is undertaken, incidentally, it would be essential to make certain
that the Key Performance Indicators (KPIs) used to reward or provide incentives
to the Sales force were in concert with the desired goals. For example, some
companies using this method have abandoned the old KPI of ‘Units Sold’ (without
regard to which units were sold) in favor of a
KPI associated with a measure of the ‘Richness of Product Mix Sold’. This KPI
would take into account the asset dollars generated for the company, as
compared to simply tracking potentially illusory margin dollars.
(4) In
many industries, a ‘feed the beast’ mentality exists which tells management
that it is better to sell ‘anything’ as opposed to letting facilities sit idle.
They believe this to be true even if it creates bottlenecks and increased
costs. A cursory review of the Portfolio Analysis presented on Table V,
specifically associated with Product 2, shows the fallacy of this belief and
illustrates how difficult conditions may become in the absence of considering
the implications and effects of TAU as related to a firm’s Customer/Product
mix.
Finally,
the following observations may also be advanced:
(5) The model and process as
depicted may also be employed for Process (as well as Customer and Product
rationalization). In organizations with multiple production lines and
facilities producing, or capable of producing, the same product, this procedure
often can lead to increased profitability through flow path optimization.
(6) The model as presented is a dynamic,
not static tool. Firms with automated management information
systems (e.g. SAP) should have little trouble updating the decision matrix at
appropriate periods, as improvements occur within the production system or as
prices change.
ABOUT THE AUTHOR
Dr.
Jeffrey T. Luftig is a Senior Instructor in the Management Division of the College of Business at the University of Colorado, Boulder, Colorado. Dr. Luftig has also
authored a number of textbooks and articles on the topics of Business
Performance Improvement, the Quality Sciences, and Experimental Design.
NETWORKER
For
more detailed information on creating industry-dedicated metrics for TAU and
its associated components; or on how to conduct a Customer/Product
Rationalization analysis; or to receive the data sets employed in conducting
the analyses presented in this article, contact Dr. Luftig directly at Jeffrey.Luftig@Colorado.Edu.
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