How can we distribute 100$ to get the highest % (Equations)
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How can we distribute 100 dollar on those 5 levels below to get the highest dollar amount.
Those 100 dollar needs to be distributed on ALL 5 levels. You can not only put in on level 3 which would be the optimal.
How can we do this to find out the perfect balance to distribute all 100 dollar on ALL 5 levels to get the highest dollar amount when we do a summation later for all 5 levels dollar amounts.
Example but this is not optimal:
1. 20% (20 dollar) : 0.20 * 20 dollar = 4 dollar
2. 30% (20 dollar) : 0.30 * 20 dollar = 6 dollar
3. 40% (20 dollar) : 0.40 * 20 dollar = 8 dollar
4. 25% (20 dollar) : 0.25 * 20 dollar = 5 dollar
5. 15% (20 dollar) : 0.15 * 20 dollar = 3 dollar
arithmetic
asked Dec 4 at 16:02
Andreas
11
add a comment |
up vote
0
down vote
favorite
How can we distribute 100 dollar on those 5 levels below to get the highest dollar amount.
Those 100 dollar needs to be distributed on ALL 5 levels. You can not only put in on level 3 which would be the optimal.
How can we do this to find out the perfect balance to distribute all 100 dollar on ALL 5 levels to get the highest dollar amount when we do a summation later for all 5 levels dollar amounts.
Example but this is not optimal:
1. 20% (20 dollar) : 0.20 * 20 dollar = 4 dollar
2. 30% (20 dollar) : 0.30 * 20 dollar = 6 dollar
3. 40% (20 dollar) : 0.40 * 20 dollar = 8 dollar
4. 25% (20 dollar) : 0.25 * 20 dollar = 5 dollar
5. 15% (20 dollar) : 0.15 * 20 dollar = 3 dollar
arithmetic
asked Dec 4 at 16:02
Andreas
11
1
Unless there are more conditions, put all of it into the highest percentage one every time. Try asking your actual question. Also, this has absolutely nothing to do with differential equations.
– user3482749
Dec 4 at 16:04
Thank you for changing to arithmetic. I am not sure that I follow you. Those 100d needs to put distributed on ALL 5 levels. You can not only put in on level 3 which would be the optimal. How can we do this to find out the perfect balance to distribute all 100d on ALL 5 levels to get the highest procent when we do a summation later for all 5 levels procents. Example for level 1, if we put 10d it will be: 10d * 0.20 = 2d for that level etc
– Andreas
Dec 4 at 16:11
Put 1 cent in each of the others, and all of the remainder in the highest-percentage one.
– user3482749
Dec 4 at 16:23
can we do $(0.01, 0.01, 99.96, 0.01, 0.01)$?
– Vasily Mitch
Dec 4 at 16:23
add a comment |
up vote
0
down vote
favorite
up vote
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down vote
favorite
How can we distribute 100 dollar on those 5 levels below to get the highest dollar amount.
Those 100 dollar needs to be distributed on ALL 5 levels. You can not only put in on level 3 which would be the optimal.
How can we do this to find out the perfect balance to distribute all 100 dollar on ALL 5 levels to get the highest dollar amount when we do a summation later for all 5 levels dollar amounts.
Example but this is not optimal:
1. 20% (20 dollar) : 0.20 * 20 dollar = 4 dollar
2. 30% (20 dollar) : 0.30 * 20 dollar = 6 dollar
3. 40% (20 dollar) : 0.40 * 20 dollar = 8 dollar
4. 25% (20 dollar) : 0.25 * 20 dollar = 5 dollar
5. 15% (20 dollar) : 0.15 * 20 dollar = 3 dollar
arithmetic
asked Dec 4 at 16:02
Andreas
11
How can we distribute 100 dollar on those 5 levels below to get the highest dollar amount.
Those 100 dollar needs to be distributed on ALL 5 levels. You can not only put in on level 3 which would be the optimal.
How can we do this to find out the perfect balance to distribute all 100 dollar on ALL 5 levels to get the highest dollar amount when we do a summation later for all 5 levels dollar amounts.
Example but this is not optimal:
1. 20% (20 dollar) : 0.20 * 20 dollar = 4 dollar
2. 30% (20 dollar) : 0.30 * 20 dollar = 6 dollar
3. 40% (20 dollar) : 0.40 * 20 dollar = 8 dollar
4. 25% (20 dollar) : 0.25 * 20 dollar = 5 dollar
5. 15% (20 dollar) : 0.15 * 20 dollar = 3 dollar
arithmetic
arithmetic
asked Dec 4 at 16:02
Andreas
11
asked Dec 4 at 16:02
Andreas
11
edited Dec 4 at 16:21
asked Dec 4 at 16:02
Andreas
11
asked Dec 4 at 16:02
Andreas
11
asked Dec 4 at 16:02
Andreas
11
11
1
Unless there are more conditions, put all of it into the highest percentage one every time. Try asking your actual question. Also, this has absolutely nothing to do with differential equations.
– user3482749
Dec 4 at 16:04
Thank you for changing to arithmetic. I am not sure that I follow you. Those 100d needs to put distributed on ALL 5 levels. You can not only put in on level 3 which would be the optimal. How can we do this to find out the perfect balance to distribute all 100d on ALL 5 levels to get the highest procent when we do a summation later for all 5 levels procents. Example for level 1, if we put 10d it will be: 10d * 0.20 = 2d for that level etc
– Andreas
Dec 4 at 16:11
Put 1 cent in each of the others, and all of the remainder in the highest-percentage one.
– user3482749
Dec 4 at 16:23
can we do $(0.01, 0.01, 99.96, 0.01, 0.01)$?
– Vasily Mitch
Dec 4 at 16:23
add a comment |
1
Unless there are more conditions, put all of it into the highest percentage one every time. Try asking your actual question. Also, this has absolutely nothing to do with differential equations.
– user3482749
Dec 4 at 16:04
Thank you for changing to arithmetic. I am not sure that I follow you. Those 100d needs to put distributed on ALL 5 levels. You can not only put in on level 3 which would be the optimal. How can we do this to find out the perfect balance to distribute all 100d on ALL 5 levels to get the highest procent when we do a summation later for all 5 levels procents. Example for level 1, if we put 10d it will be: 10d * 0.20 = 2d for that level etc
– Andreas
Dec 4 at 16:11
Put 1 cent in each of the others, and all of the remainder in the highest-percentage one.
– user3482749
Dec 4 at 16:23
can we do $(0.01, 0.01, 99.96, 0.01, 0.01)$?
– Vasily Mitch
Dec 4 at 16:23
1
1
Unless there are more conditions, put all of it into the highest percentage one every time. Try asking your actual question. Also, this has absolutely nothing to do with differential equations.
– user3482749
Dec 4 at 16:04
Unless there are more conditions, put all of it into the highest percentage one every time. Try asking your actual question. Also, this has absolutely nothing to do with differential equations.
– user3482749
Dec 4 at 16:04
Thank you for changing to arithmetic. I am not sure that I follow you. Those 100d needs to put distributed on ALL 5 levels. You can not only put in on level 3 which would be the optimal. How can we do this to find out the perfect balance to distribute all 100d on ALL 5 levels to get the highest procent when we do a summation later for all 5 levels procents. Example for level 1, if we put 10d it will be: 10d * 0.20 = 2d for that level etc
– Andreas
Dec 4 at 16:11
Thank you for changing to arithmetic. I am not sure that I follow you. Those 100d needs to put distributed on ALL 5 levels. You can not only put in on level 3 which would be the optimal. How can we do this to find out the perfect balance to distribute all 100d on ALL 5 levels to get the highest procent when we do a summation later for all 5 levels procents. Example for level 1, if we put 10d it will be: 10d * 0.20 = 2d for that level etc
– Andreas
Dec 4 at 16:11
Put 1 cent in each of the others, and all of the remainder in the highest-percentage one.
– user3482749
Dec 4 at 16:23
Put 1 cent in each of the others, and all of the remainder in the highest-percentage one.
– user3482749
Dec 4 at 16:23
can we do $(0.01, 0.01, 99.96, 0.01, 0.01)$?
– Vasily Mitch
Dec 4 at 16:23
can we do $(0.01, 0.01, 99.96, 0.01, 0.01)$?
– Vasily Mitch
Dec 4 at 16:23
add a comment |
1 Answer
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I found a solution. We don't want to put 1 cent in the other ones. That would also be the optimal. We want to distribute the amount in an equal balanced manner as the percentages are like this:
We have a Total of 130%
0.1538 * 100 dollar = 15.38 dollar (20% of 130% = 15.38%)
0.2307 * 100 dollar = 23.07 dollar
0.3076 * 100 dollar = 30.76 dollar
0.1923 * 100 dollar = 19.23 dollar
0.1153 * 100 dollar = 11.53 dollar
Sum: 99.97 dollar (Just because of rounding wrong. This will be 100 dollar)
answered Dec 4 at 16:35
Andreas
11
add a comment |
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I found a solution. We don't want to put 1 cent in the other ones. That would also be the optimal. We want to distribute the amount in an equal balanced manner as the percentages are like this:
We have a Total of 130%
0.1538 * 100 dollar = 15.38 dollar (20% of 130% = 15.38%)
0.2307 * 100 dollar = 23.07 dollar
0.3076 * 100 dollar = 30.76 dollar
0.1923 * 100 dollar = 19.23 dollar
0.1153 * 100 dollar = 11.53 dollar
Sum: 99.97 dollar (Just because of rounding wrong. This will be 100 dollar)
answered Dec 4 at 16:35
Andreas
11
add a comment |
up vote
0
down vote
I found a solution. We don't want to put 1 cent in the other ones. That would also be the optimal. We want to distribute the amount in an equal balanced manner as the percentages are like this:
We have a Total of 130%
0.1538 * 100 dollar = 15.38 dollar (20% of 130% = 15.38%)
0.2307 * 100 dollar = 23.07 dollar
0.3076 * 100 dollar = 30.76 dollar
0.1923 * 100 dollar = 19.23 dollar
0.1153 * 100 dollar = 11.53 dollar
Sum: 99.97 dollar (Just because of rounding wrong. This will be 100 dollar)
answered Dec 4 at 16:35
Andreas
11
add a comment |
up vote
0
down vote
up vote
0
down vote
I found a solution. We don't want to put 1 cent in the other ones. That would also be the optimal. We want to distribute the amount in an equal balanced manner as the percentages are like this:
We have a Total of 130%
0.1538 * 100 dollar = 15.38 dollar (20% of 130% = 15.38%)
0.2307 * 100 dollar = 23.07 dollar
0.3076 * 100 dollar = 30.76 dollar
0.1923 * 100 dollar = 19.23 dollar
0.1153 * 100 dollar = 11.53 dollar
Sum: 99.97 dollar (Just because of rounding wrong. This will be 100 dollar)
answered Dec 4 at 16:35
Andreas
11
I found a solution. We don't want to put 1 cent in the other ones. That would also be the optimal. We want to distribute the amount in an equal balanced manner as the percentages are like this:
We have a Total of 130%
0.1538 * 100 dollar = 15.38 dollar (20% of 130% = 15.38%)
0.2307 * 100 dollar = 23.07 dollar
0.3076 * 100 dollar = 30.76 dollar
0.1923 * 100 dollar = 19.23 dollar
0.1153 * 100 dollar = 11.53 dollar
Sum: 99.97 dollar (Just because of rounding wrong. This will be 100 dollar)
answered Dec 4 at 16:35
Andreas
11
answered Dec 4 at 16:35
Andreas
11
answered Dec 4 at 16:35
Andreas
11
answered Dec 4 at 16:35
Andreas
11
11
add a comment |
add a comment |
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Unless there are more conditions, put all of it into the highest percentage one every time. Try asking your actual question. Also, this has absolutely nothing to do with differential equations.
– user3482749
Dec 4 at 16:04
Thank you for changing to arithmetic. I am not sure that I follow you. Those 100d needs to put distributed on ALL 5 levels. You can not only put in on level 3 which would be the optimal. How can we do this to find out the perfect balance to distribute all 100d on ALL 5 levels to get the highest procent when we do a summation later for all 5 levels procents. Example for level 1, if we put 10d it will be: 10d * 0.20 = 2d for that level etc
– Andreas
Dec 4 at 16:11
Put 1 cent in each of the others, and all of the remainder in the highest-percentage one.
– user3482749
Dec 4 at 16:23
can we do $(0.01, 0.01, 99.96, 0.01, 0.01)$?
– Vasily Mitch
Dec 4 at 16:23