Set algorithm

username_rand

New Member
Joined
Jan 27, 2019
Messages
20
Hello,

I need to make a sort of weights calculator that i could just put in the number of projects i have, rate them from most to least important, and the percentage of increase and it would automatically give me the required weights.

For example, right now I have four projects:

Pro. A
Pro. B
Pro. C
Pro. D

rated from most to least important with project A being most important. With 20% increase between each project, I figured out the math on paper as follows:

x (pro. D) + 1.2x (pro. C) + 1.4x (pro. B) + 1.6x (pro. A) = 100%

i solved for x and figured out the weight of each project depending on its value.

Is there a formula that would help in figuring out the weights as i did on paper for other projects? (even if i changed the number of projects and/or the percentage of increase)
 

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[Table="width:, class:grid"][tr][td="bgcolor:#C0C0C0"][/td][td="bgcolor:#C0C0C0"]
A​
[/td][td="bgcolor:#C0C0C0"]
B​
[/td][td="bgcolor:#C0C0C0"]
C​
[/td][td="bgcolor:#C0C0C0"]
D​
[/td][td="bgcolor:#C0C0C0"]
E​
[/td][td="bgcolor:#C0C0C0"]
F​
[/td][td="bgcolor:#C0C0C0"]
G​
[/td][td="bgcolor:#C0C0C0"]
H​
[/td][td="bgcolor:#C0C0C0"]
I​
[/td][td="bgcolor:#C0C0C0"]
J​
[/td][td="bgcolor:#C0C0C0"]
K​
[/td][td="bgcolor:#C0C0C0"]
L​
[/td][/tr][tr][td="bgcolor:#C0C0C0"]
1​
[/td][td="bgcolor:#F3F3F3"]
delta
[/td][td]
20%​
[/td][td][/td][td][/td][td][/td][td][/td][td][/td][td][/td][td][/td][td][/td][td][/td][td][/td][/tr]
[tr][td="bgcolor:#C0C0C0"]
2​
[/td][td="bgcolor:#F3F3F3"]
numProjects
[/td][td]
1​
[/td][td]
2​
[/td][td]
3​
[/td][td]
4​
[/td][td]
5​
[/td][td]
6​
[/td][td]
7​
[/td][td]
8​
[/td][td="bgcolor:#F3F3F3"]
Total
[/td][td][/td][td][/td][/tr]
[tr][td="bgcolor:#C0C0C0"]
3​
[/td][td]
1​
[/td][td="bgcolor:#CCFFCC"]
100.00%​
[/td][td="bgcolor:#CCFFFF"][/td][td="bgcolor:#CCFFFF"][/td][td="bgcolor:#CCFFFF"][/td][td="bgcolor:#CCFFFF"][/td][td="bgcolor:#CCFFFF"][/td][td="bgcolor:#CCFFFF"][/td][td="bgcolor:#CCFFFF"][/td][td="bgcolor:#E5E5E5"]
100.00%​
[/td][td][/td][td="bgcolor:#CCFFCC"]B3: =2 / (A3 * (2 + (A3-1) * delta))[/td][/tr]
[tr][td="bgcolor:#C0C0C0"]
4​
[/td][td]
2​
[/td][td="bgcolor:#CCFFCC"]
45.45%​
[/td][td="bgcolor:#CCFFFF"]
54.55%​
[/td][td="bgcolor:#CCFFFF"][/td][td="bgcolor:#CCFFFF"][/td][td="bgcolor:#CCFFFF"][/td][td="bgcolor:#CCFFFF"][/td][td="bgcolor:#CCFFFF"][/td][td="bgcolor:#CCFFFF"][/td][td="bgcolor:#E5E5E5"]
100.00%​
[/td][td][/td][td="bgcolor:#CCFFFF"]C3: =IF(C$2 > $A3, "", (1 + (C$2 - 1) * delta) * $B3)[/td][/tr]
[tr][td="bgcolor:#C0C0C0"]
5​
[/td][td]
3​
[/td][td="bgcolor:#CCFFCC"]
27.78%​
[/td][td="bgcolor:#CCFFFF"]
33.33%​
[/td][td="bgcolor:#CCFFFF"]
38.89%​
[/td][td="bgcolor:#CCFFFF"][/td][td="bgcolor:#CCFFFF"][/td][td="bgcolor:#CCFFFF"][/td][td="bgcolor:#CCFFFF"][/td][td="bgcolor:#CCFFFF"][/td][td="bgcolor:#E5E5E5"]
100.00%​
[/td][td][/td][td="bgcolor:#E5E5E5"]J3: =SUM(B3:I3)[/td][/tr]
[tr][td="bgcolor:#C0C0C0"]
6​
[/td][td]
4​
[/td][td="bgcolor:#CCFFCC"]
19.23%​
[/td][td="bgcolor:#CCFFFF"]
23.08%​
[/td][td="bgcolor:#CCFFFF"]
26.92%​
[/td][td="bgcolor:#CCFFFF"]
30.77%​
[/td][td="bgcolor:#CCFFFF"][/td][td="bgcolor:#CCFFFF"][/td][td="bgcolor:#CCFFFF"][/td][td="bgcolor:#CCFFFF"][/td][td="bgcolor:#E5E5E5"]
100.00%​
[/td][td][/td][td][/td][/tr]
[tr][td="bgcolor:#C0C0C0"]
7​
[/td][td]
5​
[/td][td="bgcolor:#CCFFCC"]
14.29%​
[/td][td="bgcolor:#CCFFFF"]
17.14%​
[/td][td="bgcolor:#CCFFFF"]
20.00%​
[/td][td="bgcolor:#CCFFFF"]
22.86%​
[/td][td="bgcolor:#CCFFFF"]
25.71%​
[/td][td="bgcolor:#CCFFFF"][/td][td="bgcolor:#CCFFFF"][/td][td="bgcolor:#CCFFFF"][/td][td="bgcolor:#E5E5E5"]
100.00%​
[/td][td][/td][td][/td][/tr]
[tr][td="bgcolor:#C0C0C0"]
8​
[/td][td]
6​
[/td][td="bgcolor:#CCFFCC"]
11.11%​
[/td][td="bgcolor:#CCFFFF"]
13.33%​
[/td][td="bgcolor:#CCFFFF"]
15.56%​
[/td][td="bgcolor:#CCFFFF"]
17.78%​
[/td][td="bgcolor:#CCFFFF"]
20.00%​
[/td][td="bgcolor:#CCFFFF"]
22.22%​
[/td][td="bgcolor:#CCFFFF"][/td][td="bgcolor:#CCFFFF"][/td][td="bgcolor:#E5E5E5"]
100.00%​
[/td][td][/td][td][/td][/tr]
[tr][td="bgcolor:#C0C0C0"]
9​
[/td][td]
7​
[/td][td="bgcolor:#CCFFCC"]
8.93%​
[/td][td="bgcolor:#CCFFFF"]
10.71%​
[/td][td="bgcolor:#CCFFFF"]
12.50%​
[/td][td="bgcolor:#CCFFFF"]
14.29%​
[/td][td="bgcolor:#CCFFFF"]
16.07%​
[/td][td="bgcolor:#CCFFFF"]
17.86%​
[/td][td="bgcolor:#CCFFFF"]
19.64%​
[/td][td="bgcolor:#CCFFFF"][/td][td="bgcolor:#E5E5E5"]
100.00%​
[/td][td][/td][td][/td][/tr]
[tr][td="bgcolor:#C0C0C0"]
10​
[/td][td]
8​
[/td][td="bgcolor:#CCFFCC"]
7.35%​
[/td][td="bgcolor:#CCFFFF"]
8.82%​
[/td][td="bgcolor:#CCFFFF"]
10.29%​
[/td][td="bgcolor:#CCFFFF"]
11.76%​
[/td][td="bgcolor:#CCFFFF"]
13.24%​
[/td][td="bgcolor:#CCFFFF"]
14.71%​
[/td][td="bgcolor:#CCFFFF"]
16.18%​
[/td][td="bgcolor:#CCFFFF"]
17.65%​
[/td][td="bgcolor:#E5E5E5"]
100.00%​
[/td][td][/td][td][/td][/tr]
[/table]
 
Upvote 0
S = a1 + (1 + d)a1 + (1 + 2d)a1 + ... + (1 + (n - 1)d)a1 == 1, and d = 20%.

Solve for a1.
 
Upvote 0

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