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During 2005, a company produced an average of 2,000 products

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During 2005, a company produced an average of 2,000 products [#permalink]

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17 Nov 2011, 16:33
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64% (02:49) correct 36% (02:08) wrong based on 381 sessions

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During 2005, a company produced an average of 2,000 products per month. How many products will the company need to produce from 2006 through 2008 in order to increase its monthly average for the period from 2005 through 2008 by 200% over its 2005 average?

(A) 148,000
(B) 172,000
(C) 200,000
(D) 264,000
(E) 288,000
[Reveal] Spoiler: OA

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Last edited by Bunuel on 04 Aug 2012, 01:20, edited 2 times in total.
Renamed the topic and edited OA.
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17 Nov 2011, 17:17
The current average is 2,000/month and it's asking how many we'd have to produce from 2006 through 2008 to come to a final average from 2005-2008 of 200% more than that 2,000/month.

3(36{2,000}) = 24,000 + 24x... the left side of the equal sign gives me 300% (or 200% MORE) of the three-year total of the 2,000/month average. The right side of the equal sign gives me the 2005 production of 2,000/month plus the 2006-2008 ungiven average per month.

For some reason, though, my equation comes to x=8,000 and 8,000 each month for the 24 months of 2006-2008 is 192,000. Just another 8,000 short of the quota. I can't figure out where I'm messing up, but it's got to be something small.

Any idea anyone?
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21 Nov 2011, 04:30
I do not understand the problem. Is this from gmatprep ?
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21 Nov 2011, 06:52
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Company produced 12*2000 = 24,000 products in 2005. If company produces X products from 2006 to 2008, then total amount of product produced in 4 years (2005 through 2008) is X+24,000. The gives the average of (X+24,000)/4.

This average needs to be 200% higher than that in 2005. In math terms, 24,000+200%(24,000) = 72,000. So:

(X+24,000)/4 = 72,000
X+24,000 = 288,000
X = 264,000

To check our answer. Company produced 264,00 from 2006 through 2008 and 24,000 in 2005. That's a total of 288,000 in 4 years, that's 72,000 a year, that's 6,000 a month, which is 200% higher than 2,000.
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21 Nov 2011, 07:05
Four years! I can't believe I missed that. Should have gotten it. I was only figuring three years in 2005-2008. Ugh! Thanks, man.
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03 Aug 2012, 19:16
Bunnel

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04 Aug 2012, 01:19
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venmic wrote:
Bunnel

During 2005, a company produced an average of 2,000 products per month. How many products will the company need to produce from 2006 through 2008 in order to increase its monthly average for the period from 2005 through 2008 by 200% over its 2005 average?

(A) 148,000
(B) 172,000
(C) 200,000
(D) 264,000
(E) 288,000

200% more than 2,000 is 6,000 products per month.

Now, in order the monthly average, from 2005 through 2008, to be 6,000 products per month, the company should produce total of 6,000*48 products in these four years (48 months).

Since in 2005, the company produced total of 2,000*12 products, then from 2006 through 2008, the company should produce 6,000*48-2,000*12=2,000*12*(3*4-1)=2,000*12*11=264,000.

Hope it's clear.
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Re: During 2005, a company produced an average of 2,000 products [#permalink]

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06 Feb 2014, 14:23
jlgdr wrote:
During 2005, a company produced an average of 2,000 products per month. How many products will the company need to produce from 2006 through 2008 in order to increase its monthly average for the period from 2005 through 2008 by 200% over its 2005 average?

(A) 148,000
(B) 172,000
(C) 200,000
(D) 264,000
(E) 288,000

I was trying to solve this by differentials but couldn't. Would anybody tell me where I'm going wrong here?

OK so we have that 1 year, average is 2k
We need the total average to rise to 6k in the last 3 months

Therefore we have: -4(1) + 3x = 0

x = 4/3. Now this tells us that 4/3 should be the differential. Therefore 6 + 4/3 = 22/3 is supposed to be the key point. That is 22/3*1000, but it doesn't make any sense in the context of the answer choices

Many thanks
Hope its clear

Cheers
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Re: During 2005, a company produced an average of 2,000 products [#permalink]

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27 Apr 2015, 07:32
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Re: During 2005, a company produced an average of 2,000 products [#permalink]

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03 May 2015, 21:18
Bunuel wrote:
venmic wrote:
Bunnel

During 2005, a company produced an average of 2,000 products per month. How many products will the company need to produce from 2006 through 2008 in order to increase its monthly average for the period from 2005 through 2008 by 200% over its 2005 average?

(A) 148,000
(B) 172,000
(C) 200,000
(D) 264,000
(E) 288,000

200% more than 2,000 is 6,000 products per month.

Now, in order the monthly average, from 2005 through 2008, to be 6,000 products per month, the company should produce total of 6,000*48 products in these four years (48 months).

Since in 2005, the company produced total of 2,000*12 products, then from 2006 through 2008, the company should produce 6,000*48-2,000*12=2,000*12*(3*4-1)=2,000*12*11=264,000.

Hope it's clear.

perfect explanation.

concise, and deep and comprehensive explanation. you are a legendary of math section on gmat. it is great to have you here. your presence here is good for us
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Re: During 2005, a company produced an average of 2,000 products [#permalink]

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05 Dec 2015, 11:56
enigma123 wrote:
During 2005, a company produced an average of 2,000 products per month. How many products will the company need to produce from 2006 through 2008 in order to increase its monthly average for the period from 2005 through 2008 by 200% over its 2005 average?

(A) 148,000
(B) 172,000
(C) 200,000
(D) 264,000
(E) 288,000

Sum in 2005: $$2*12000=24000$$
Required average of 200% for 1 year: $$6000*12=72000$$ --> means we need 24.000+48.000 to get 72.000 in 2005
=> 3*72.000 + 48.000 = 264.000
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Re: During 2005, a company produced an average of 2,000 products [#permalink]

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08 Dec 2016, 17:16
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: During 2005, a company produced an average of 2,000 products [#permalink]

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12 Apr 2017, 11:12
Hi,

I have solved this question by weighted average that is,

6000 = x + 2000*12/36+12 -->x=264,000

is it right??
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Re: During 2005, a company produced an average of 2,000 products [#permalink]

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17 Apr 2017, 22:38
hi, it seems to me that the rule of average and weigh cannot be applied to this question. I have tried and failed. Also, I think conventional calculation is the best fit to solve this question.
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Re: During 2005, a company produced an average of 2,000 products [#permalink]

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21 Apr 2017, 00:04
Since all the numbers in answer choices are in form of abc000, we can safely divide all numbers in our calculations by 1,000.

Then:
2,000 (monthly average for 2005) = 2
6,000 (monthly average for 2005 - 2008) = 6

Monthly average for 2005-2008:
(1*2+ 3*x)/4 = 6, where 1 is one year (2005) and 3 is 3 years (2006, 2007, 2008); 4 = 4 years for average; 2 - monthly average for 2005; x - monthly average for any of the rest 3 years.

x = 7+1/3

To find produced products over 12*3 months during 2006-2008, we simply multiply x by 12*3:
(7+1/3) * 3 * 12 = 264

Now, in our abc000 abc=264 -> D
Re: During 2005, a company produced an average of 2,000 products   [#permalink] 21 Apr 2017, 00:04
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