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calculate your price scale



updated:  sept.19 th.'98
 
A B C D
1 function formula example result
2 lowest price a $ 100 $ 100
3 highest price b $ 1000 $ 1000
4 b/a =B3/B2 1000/100 10
5 Ln(b/a) =Ln(B4) Ln10 2,30
6 (Ln(b/a))/6 =B5/6 (Ln10)/6 0,38
7 Exp(Ln(b/a))/6 =Exp(B6) Exp(Ln10)/6 1,47
8 factor q =B7 q 1,47
9 lowest price a.q0 a.1 1,47
10 centre of low price sector a.q a.1,47 $ 100
11 limit of low price sector a.q2 a.1,472 $ 147
12 centre of CENTER price sector a.q3 a.1,473 $ 215
13 limit of CENTER price sector a.q4 a.1,474 $ 316
14 centre of high price sector a.q5 a.1,475 $ 681
15 highest price a.q6 a.1,476 $ 1000
 
5) 

7) 
 

8) 
 
 

9 till 15) 

11 and 13) 
 
 
 
 
 
 

10, 12 and 14)

introduces the logarithmic function 

7)  returns from logarithms to normal numbers and 
 finds the factor q of the geometric series 

8)  a geometric series has the following formula 

a.q0, a.q1, a.q2...a.qn 

we can now calculate the complete series. 

calculate the limits of the three sectors. 

The results in our example are: 

the low price sector        from $ 100 to $ 215 
the CENTER price sector   from $ 215 to $ 464 
the higher price sector    from $ 464 to $ 1000 

calculate the geometric 'centres' or characteristic prices for each sector. 
The mathematics results in our example and their realistic approximations are: 

typical low price      $ 147 or ca. $ 150 
typical CENTER price $ 316 or ca. $ 300 
typical high price     $ 681 or ca. $ 700 
 

 


 
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   andries van onck