Metric and Measure

Dr. Nikolai's Chart

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Metric chart

According to the Manhattan metric the distance is (see the previous section)

         (2a)

Instead of the mathematic formula or "metric" we can draw the following chart 

Coordinate Unit of measure Factor Value
Width (X) inch 1 20
Length (Y) foot 12 2
Metric
(Distance)
inch 1 1*20 + 12*2 = 44

 The chart can be simpler if units and factors are the same:

Coordinate Value
Car price $ P
5-year service $ S
5-year gas $ G
5 year total $ T = $ (P+S+G)

 This chart can be used for more realistic price comparison after substituting "P", "S" and "G" with real numbers.

As another example let us compare two purchase planes:

 

Plan:   "Expensive"  "Cheap"
Coordinate Factor Value Factor Value
Down payment 1 $ 5000 1 $ 1000
Monthly payment 36 $ 350 72 $ 250
Total   $ 17600   $ 19000

"Expensive" plan gives the the following total: $5000*1 + $350*36 = $17000 and the "cheap" one gives  $1000*1 + $250*72 = $19000. Now it is your choice to pay less monthly or total.

 

Qualitative charts

The chart can be extended for the use of such uncertain and qualitative features as the favorite color, make, model, brand, etc. 

Coordinate Value Factor
Car price $ P 100%
5-year service $ S 100%
5-year gas $ G 100%
Color - $500 60%
5 year total $ T = $ (P+S+G-0.6*500)

According to this chart, the $20500 car with a perfect (100%) match has the the same value as the $20300 car with 60% match and as the $20000 car with 0% match. 

This reflects your own value for the color. This is definitely a subjective estimation but it is OK because you buy a car for yourself. In other words this chart is an objective metric for your subjective preferences. 

Remarks

 


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