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Everyday Math Problem!

Which Device would you buy A or B?


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Level 15
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Aug 11, 2009
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1,606
This is a math problem that could occur on everybody.I just want to see your answers on this...
So hear's the deal:
The board below describes the life expectansy of 2 electronic devices A and B accordingly.Numbers below represent thousand hours,for example 10 is 10.000 hours.Board shows 5 random results of how long devices A and B lasted.

A Device // B Device
10 // 10
11 // 12
20 // 15
29 // 33
40 // 45

Which type of electronic device would you prefer if device A cost 50$ and device B cost 52$?Of course you would like to buy the one which could offer you more hours in the best price...


I know the answer and i will post if after...
I just want to know what do you think and if you answer could you also mention what you thought and decided this?
 
Level 5
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Oct 26, 2009
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A: 22hrs/unit on average
B: 23hrs/unit on average

Watch units:
A: 50$/unit
B: 52$/unit

We want: hrs/$ for cost effectiveness of each device, so...

A: (22hrs/unit)/(50$/unit) = 0.44hrs/$
B: (23hrs/unit)/(52$/unit) = 0.44231...hrs/$

Therefore B is very marginally more cost effective to purchase than A.
 
Level 37
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Mar 6, 2006
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9,240
Board shows 5 random results of how long devices A and B

I'd say GTFO with your results of only 5 measurements. I couldn't base anything over that low of an amount. No conclusions could be made in real world based on those numbers. They seem all too random. I'm studying electronic engineering (circuit desinging), and you really have to think about these things :)

But let's say I'd have to give an answer...from sellers standpoint, both have the same lowest value, but product A is more likely to break sooner. so I'd sell that one so the customer has to buy a new one sooner.
 
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Level 4
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May 17, 2005
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94
The problem above wasn't mine its taken from a book...So if you accuse me you accuse the one who wrote it :D
So what? You still can't reasonably assess things based on such a low sample size. If the average difference was HUGE (like, B on average lasting twice as long per $ as A or something), then you could, with some certainty, say that B is better. But that's not the case; the difference is like half a percent.
 
Level 15
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Aug 11, 2009
Messages
1,606
Since no one else is interested here is my solution:

Let's say both devices cost 50$ then we would do this...

X=(10+11+20+29+40)/5=110/5=22 <-- Device A

Y=(10+12+15+33+45)/5=115/5=23 <-- Device B

This means if the price was the same then Device B would be the best choice.

Now that the price is 50$ for device A and 52$ for device B we would do something like this:

A device
50$ --- 22 hours
1$ --- ? hours

50x=22 => x=22/50 => 0,44 hours

B device
52$ --- 23 hours
1$ --- ? hours

52x=23 => x=23/52 => 0,44230769 hours

This means that device B would indeed be better even by such a small amount.
Thx for participating!
 
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Level 5
Joined
Oct 26, 2009
Messages
161
reason_3 said:
Since no one else is interested here is my solution:

Let's say both devices cost 50$ then we would do this...

X=10+11+20+29+40/5=110/5=22 <-- Device A

Y=10+12+15+33+45/5=115/5=23 <-- Device B

This means if the price was the same then Device B would be the best choice.

Now that the price is 50$ for device A and 52$ for device B we would do something like this:

A device
50$ --- 22 hours
1$ --- ? hours

50x=22 => x=22/50 => 0,44 hours

B device
52$ --- 23 hours
1$ --- ? hours

52x=23 => x=23/52 => 0,44230769 hours

This means that device B would indeed be better even my such a small amount.
Thx for participating!
So my answer was absolutely correct. Nice to know that my basic math capabilities haven't dwindled over the years.
 
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