Distribution problem

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herbageonion

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Nov 30, 2019
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Hello, this my first post on here so I hope I'm doing this right :)

I have a problem and I'd really appreciate some help.

I have a number of prizes, 5000, which need to be spread out/distributed over a period of 30 days. I want to award more prizes on day 1 than day 2 and more on day 2 than day 3 etc, also, I want to award more prizes in the first 15-16 days than on the back 15, ultimately, by day 24, there should be the lowest number of prizes remaining. The lowest number can be 0.

Is there any known formula or strategy that would solve this? It sounds like something that probably exists or even has a name.
 
herbageonion said:
Hello, this my first post on here so I hope I'm doing this right :)

I have a problem and I'd really appreciate some help.

I have a number of prizes, 5000, which need to be spread out/distributed over a period of 30 days. I want to award more prizes on day 1 than day 2 and more on day 2 than day 3 etc, also, I want to award more prizes in the first 15-16 days than on the back 15, ultimately, by day 24, there should be the lowest number of prizes remaining. The lowest number can be 0.

Is there any known formula or strategy that would solve this? It sounds like something that probably exists or even has a name.
Click to expand...
Do you want the difference between successive days to be approximately constant? Then look into arithmetic sequences.
 
lev888 said:
Do you want the difference between successive days to be approximately constant? Then look into arithmetic sequences.
Click to expand...

Not necessarily, the difference between successive days would be determined by the input value, I think it would need to decrement on a curve to get to zero after 30 days... is that still an arithmetic sequence?
 
What would prevent an arithmetic sequence to decrease to 0?
 
herbageonion said:
Hello, this my first post on here so I hope I'm doing this right :)

I have a problem and I'd really appreciate some help.

I have a number of prizes, 5000, which need to be spread out/distributed over a period of 30 days. I want to award more prizes on day 1 than day 2 and more on day 2 than day 3 etc, also, I want to award more prizes in the first 15-16 days than on the back 15, ultimately, by day 24, there should be the lowest number of prizes remaining. The lowest number can be 0.

Is there any known formula or strategy that would solve this? It sounds like something that probably exists or even has a name.
Click to expand...
5010/30 = 167

One way would be to go AP and adjust at the end. you could go:

,........
 
First I would see if this is possible.
I would compute 0 + 1 + 2 +3 +... + 14 +15 + 14 +13 +...+1 = 225. Since 225 <500 it can be done. So what is the problem getting this done?
 
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