The document discusses optimum, minimum, and maximum values in relation to dependent and independent variables. It provides examples of dependent variables like service level and availability, contribution, profit, and time required that have maximum or minimum values when the independent variables of maintenance, management decisions, and training are at their respective optimum points.
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Optimum, Minimum Or Maximum
1. Optimum, minimum or maximum
Often misunderstood by managers, politicians and journalists
Concept: by Ton Noorhoff
Dependent Y max
Y = Dependent variable
variable Y is :
?maximum
or
?minimum
Y
when min
? independent X = Independent variable
variable X is
X
optimum opt
2. Optimum, minimum or maximum
Often misunderstood by managers, politicians and journalists
Examples: by Ton Noorhoff
?Management 100 %
Y = service-level, availability
Y
?Dependent max
variable Y=
?service-level ,
availability
?Independent
variable X = 0%
?maintenance X = maintenance of infrastructure
of the X opt
infrastructure
3. Optimum, minimum or maximum
Often misunderstood by managers, politicians and journalists
Examples: by Ton Noorhoff
Y = Maximum
?Business
Y = contribution or profit
?Dependent
variable Y = i.e.
?contribution
?profit
?Independent
variable X = X = decisions of management
?decisions of X opt
management
4. Optimum, minimum or maximum
Often misunderstood by managers, politicians and journalists
Examples: by Ton Noorhoff
?Sports
?Dependent
Y = time required
variable Y = i.e.
?time required
to cover
distance Y = Minimum
?Independent
variable X = i.e. X = training
? training X opt