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The Best Performer


Best Answer bushindo, 15 May 2013 - 12:52 AM

Anna (A), BIll (B), Cindy ©, and Dante (D) work on a project.

Together, A, B, and C can complete it in 10 days.

Together, B, C, and D can complete it in 11 days.

Together, C, D, and A can complete it in 12 days.

Together, D, A, and B can complete it in 13 days.

 

Who is the best performer?  Prove your answer.

 

Spoiler for
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10 replies to this topic

#1 BMAD

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Posted 15 May 2013 - 12:43 AM

Anna (A), BIll (B), Cindy ©, and Dante (D) work on a project.

Together, A, B, and C can complete it in 10 days.

Together, B, C, and D can complete it in 11 days.

Together, C, D, and A can complete it in 12 days.

Together, D, A, and B can complete it in 13 days.

 

Who is the best performer?  Prove your answer.


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#2 bushindo

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Posted 15 May 2013 - 12:52 AM   Best Answer

Anna (A), BIll (B), Cindy ©, and Dante (D) work on a project.

Together, A, B, and C can complete it in 10 days.

Together, B, C, and D can complete it in 11 days.

Together, C, D, and A can complete it in 12 days.

Together, D, A, and B can complete it in 13 days.

 

Who is the best performer?  Prove your answer.

 

Spoiler for

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#3 BMAD

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Posted 15 May 2013 - 01:16 AM

 



Anna (A), BIll (B), Cindy ©, and Dante (D) work on a project.

Together, A, B, and C can complete it in 10 days.

Together, B, C, and D can complete it in 11 days.

Together, C, D, and A can complete it in 12 days.

Together, D, A, and B can complete it in 13 days.

 

Who is the best performer?  Prove your answer.

 

Spoiler for

 

How many days does each person contribute to the total project days?


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#4 bonanova

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Posted 16 May 2013 - 10:43 PM

 

 



Anna (A), BIll (B), Cindy ©, and Dante (D) work on a project.

Together, A, B, and C can complete it in 10 days.

Together, B, C, and D can complete it in 11 days.

Together, C, D, and A can complete it in 12 days.

Together, D, A, and B can complete it in 13 days.

 

Who is the best performer?  Prove your answer.

 

Spoiler for

 

How many days does each person contribute to the total project days?

 

 

Individuals don't contribute to the project's time.

A can do a project, alone, in a days, but a does not increase the time of a project.

Rather, 1/a contributes to the reciprocal of the project's time.

 

1/a +1/b+1/c = 1/10, etc.


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#5 BMAD

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Posted 16 May 2013 - 10:57 PM


 


 




Anna (A), BIll (B), Cindy ©, and Dante (D) work on a project.
Together, A, B, and C can complete it in 10 days.
Together, B, C, and D can complete it in 11 days.
Together, C, D, and A can complete it in 12 days.
Together, D, A, and B can complete it in 13 days.
 
Who is the best performer?  Prove your answer.

 
Spoiler for

 
How many days does each person contribute to the total project days?
 
 
Individuals don't contribute to the project's time.
A can do a project, alone, in a days, but a does not increase the time of a project.
Rather, 1/a contributes to the reciprocal of the project's time.
 
1/a +1/b+1/c = 1/10, etc.

Allow me to rephrase cause I disagree: Including someone on a project and excluding someone else directly affects the amount of days a project takes. So in terms of making a three man team we can determine the day load attributed to each person (as well as rank them by productivity). In terms of proportional pay for effectiveness this is very important as we in manufacturing projects pay individuals incentives based on their individual contribution to group projects.
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#6 ShadowAngel7

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Posted 17 May 2013 - 02:35 AM

Spoiler for

Allow me to rephrase cause I disagree: Including someone on a project and excluding someone else directly affects the amount of days a project takes. So in terms of making a three man team we can determine the day load attributed to each person (as well as rank them by productivity). In terms of proportional pay for effectiveness this is very important as we in manufacturing projects pay individuals incentives based on their individual contribution to group projects.

So, by your later question, are you asking for how long each individual would take to complete the project working on his/her own? [edit from here] This would then, of course, make that proportional payment easier, using [actual time]/[individual time] to determine the proportion of total payment each individual should receive.

Edited by ShadowAngel7, 17 May 2013 - 02:42 AM.

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#7 BMAD

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Posted 17 May 2013 - 02:43 AM

 

Spoiler for

Allow me to rephrase cause I disagree: Including someone on a project and excluding someone else directly affects the amount of days a project takes. So in terms of making a three man team we can determine the day load attributed to each person (as well as rank them by productivity). In terms of proportional pay for effectiveness this is very important as we in manufacturing projects pay individuals incentives based on their individual contribution to group projects.

 

So, by your later question, are you asking for how long each individual would take to complete the project working on his/her own? [edit from here] This would then, of course, make that proportional payment easier, using [actual time]/[individual time] to determine the proportion of total payment each individual should receive.

 

essentially, i am asking how much of the duration is caused by each individual on the three man team if we assume that a person is just as productive no matter who they work with


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#8 bushindo

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Posted 17 May 2013 - 03:59 AM

 


 

Spoiler for

Allow me to rephrase cause I disagree: Including someone on a project and excluding someone else directly affects the amount of days a project takes. So in terms of making a three man team we can determine the day load attributed to each person (as well as rank them by productivity). In terms of proportional pay for effectiveness this is very important as we in manufacturing projects pay individuals incentives based on their individual contribution to group projects.
 
So, by your later question, are you asking for how long each individual would take to complete the project working on his/her own? [edit from here] This would then, of course, make that proportional payment easier, using [actual time]/[individual time] to determine the proportion of total payment each individual should receive.
 
essentially, i am asking how much of the duration is caused by each individual on the three man team if we assume that a person is just as productive no matter who they work with
 
 
 
Let a, b, c, and d stand for the fraction of a project that A, B, C, and D can do within each day, respectively.
Spoiler for

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#9 BMAD

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Posted 17 May 2013 - 04:19 AM

 

 

 

Spoiler for

Allow me to rephrase cause I disagree: Including someone on a project and excluding someone else directly affects the amount of days a project takes. So in terms of making a three man team we can determine the day load attributed to each person (as well as rank them by productivity). In terms of proportional pay for effectiveness this is very important as we in manufacturing projects pay individuals incentives based on their individual contribution to group projects.
 
So, by your later question, are you asking for how long each individual would take to complete the project working on his/her own? [edit from here] This would then, of course, make that proportional payment easier, using [actual time]/[individual time] to determine the proportion of total payment each individual should receive.
 
essentially, i am asking how much of the duration is caused by each individual on the three man team if we assume that a person is just as productive no matter who they work with
 
 
 
Let a, b, c, and d stand for the fraction of a project that A, B, C, and D can do within each day, respectively.
Spoiler for

 

I like your answer.  It is interesting how in America this problem is solved differently from my home country.


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#10 bushindo

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Posted 17 May 2013 - 04:29 AM

 


Let a, b, c, and d stand for the fraction of a project that A, B, C, and D can do within each day, respectively.
Spoiler for

 

I like your answer.  It is interesting how in America this problem is solved differently from my home country.

 

 

I'm intrigued. How do people from your country solve this problem?


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