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# To fill an order, a manufacturer had to produce 1000 tools

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To fill an order, a manufacturer had to produce 1000 tools  [#permalink]

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Updated on: 04 Mar 2013, 03:20
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17
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Difficulty:

45% (medium)

Question Stats:

64% (01:35) correct 36% (01:33) wrong based on 830 sessions

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To fill an order, a manufacturer had to produce 1000 tools per day for n days. what is the value of n?

(1) Because of production problems, the manufacturer produced only 600 tools per day during the first 5 days
(2) Because of production problems, the manufacturer had to produce 1,500 tools per day on each of the last 4 days in order to meet the schedule

Originally posted by sandranjeim on 17 Apr 2010, 06:59.
Last edited by Bunuel on 04 Mar 2013, 03:20, edited 1 time in total.
Edited.
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Re: To fill an order, a manufacturer had to produce 1000 tools  [#permalink]

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04 Mar 2013, 03:34
3
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fozzzy wrote:
why is it E? I don't understand

To fill an order, a manufacturer had to produce 1000 tools per day for n days. what is the value of n?

(1) Because of production problems, the manufacturer produced only 600 tools per day during the first 5 days. We are just given that during the first 5 days the manufacturer produced (1,000-600)*5=2,000 fewer tools than scheduled. Not sufficient.

(2) Because of production problems, the manufacturer had to produce 1,500 tools per day on each of the last 4 days in order to meet the schedule. We are just given that during the last 4 days the manufacturer produced (1,500-1,000)*4=2,000 more tools than scheduled. Not sufficient.

(1)+(2) From above we have that the least value of n is 5+4=9 and the least number of tools the manufacturer had to produce is 9,000, which is not sufficient to answer the question. For example, the manufacturer could work for n=9 days producing 600 tools per day during the first 5 days and 1,500 tools per day on each of the last 4 days OR the the manufacturer could work for n=10 days producing 600 tools per day during the first 5 days, 1,000 tools on the 6th day and 1,500 tools per day on each of the last 4 days. Not sufficient.

Hope it's clear.
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18 Apr 2010, 22:27
2
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sandranjeim wrote:
To fill an order, a manufacturer had to produce 1000 tools per day for n days. what is the value of n?

1) Because of production problems, the manufacturer produced only 600 tools per day during the first 5 days
2) Because of production problems, the manufacturer had to produce 1,500 tools per day on each of the last 4 days in order to meet the schedule

OA = E

1: not enough, as there is shortfall of 2000 tools which can be achieved in 1 day or any number of day. Only thing we can found from 1 is n > 5.
2: not enough, as in last four days it made 2000 tools extra to recover earlier shortfall.

Combining, there could be any number of days after first five days and last four days when manufacturer produced 1000 tools per day, hence insuffcient.

Its E.
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Re: To fill an order, a manufacturer had to produce 1000 tools  [#permalink]

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02 Mar 2013, 05:27
sandranjeim wrote:
To fill an order, a manufacturer had to produce 1000 tools per day for n days. what is the value of n?

1) Because of production problems, the manufacturer produced only 600 tools per day during the first 5 days

2) Because of production problems, the manufacturer had to produce 1,500 tools per day on each of the last 4 days in order to meet the schedule

OA = E

1 just give info that 3000 tools were manufactured for 5 days but no info on how much extra needs to be produced for how many days only thing is n>5

2. last 4 days 6000 tools were manufactured but no info on how many days the tools have to produced
may be first 4 days he produced 500 Tools and last 4 days 1500 tools that means n = 8

also Frst 4 days 500 and last 4 days 1500 tools but there may be extra number of days when he produced 1000 Tools per day so no definite value of n

1&2 no extra info only first 5 days and last 4 days but no info on how many days total needs to work on it..

So OA E
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Re: To fill an order, a manufacturer had to produce 1000 tools  [#permalink]

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20 Jan 2016, 07:59
1
sandranjeim wrote:
To fill an order, a manufacturer had to produce 1000 tools per day for n days. what is the value of n?

(1) Because of production problems, the manufacturer produced only 600 tools per day during the first 5 days
(2) Because of production problems, the manufacturer had to produce 1,500 tools per day on each of the last 4 days in order to meet the schedule

Hi Math experts here's my solution, would appreciate some comments.

(1) Clearly not sufficient, we only know that 3000 were produced in the first 5 days
(2) x*(n-4)+4*1500=1000n, we have two variables here. Not sufficient
(1)+(2) 3000+6000+x(n-9)=1000n, still 2 variables. Not sufficient
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Re: To fill an order, a manufacturer had to produce 1000 tools  [#permalink]

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20 Jan 2016, 08:14
BrainLab wrote:
sandranjeim wrote:
To fill an order, a manufacturer had to produce 1000 tools per day for n days. what is the value of n?

(1) Because of production problems, the manufacturer produced only 600 tools per day during the first 5 days
(2) Because of production problems, the manufacturer had to produce 1,500 tools per day on each of the last 4 days in order to meet the schedule

Hi Math experts here's my solution, would appreciate some comments.

(1) Clearly not sufficient, we only know that 3000 were produced in the first 5 days
(2) x*(n-4)+4*1500=1000n, we have two variables here. Not sufficient
(1)+(2) 3000+6000+x(n-9)=1000n, still 2 variables. Not sufficient

Yes, your solution does look fine with the 2 variable approach. Statement 2 should have indicated you that even after combining the 2 statements, you will end up with an inconclusive combination of statements.
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Re: To fill an order, a manufacturer had to produce 1000 tools  [#permalink]

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20 Jan 2016, 21:20
Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.

To fill an order, a manufacturer had to produce 1000 tools per day for n days. what is the value of n?

(1) Because of production problems, the manufacturer produced only 600 tools per day during the first 5 days
(2) Because of production problems, the manufacturer had to produce 1,500 tools per day on each of the last 4 days in order to meet the schedule

In the original condition, there are 2 variables(power, n), which should match with the number of equations. So you need 2 equations. For 1) 1 equation, for 2) 1 equation, which is likely to make C the answer. When 1) & 2),
Since the manufacturer produced 600 tools every day for the first 5 days, they produced 3000 tools. Then the manufacturer produced 6000 tools for the next 4 days and you don’t know n. So, value of n is not unique and not sufficient. Therefore, the answer is E.

-> For cases where we need 2 more equations, such as original conditions with “2 variables”, or “3 variables and 1 equation”, or “4 variables and 2 equations”, we have 1 equation each in both 1) and 2). Therefore, there is 70% chance that C is the answer, while E has 25% chance. These two are the majority. In case of common mistake type 3,4, the answer may be from A, B or D but there is only 5% chance. Since C is most likely to be the answer using 1) and 2) separately according to DS definition (It saves us time). Obviously there may be cases where the answer is A, B, D or E.
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Re: To fill an order, a manufacturer had to produce 1000 tools  [#permalink]

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18 Jun 2016, 00:22
S1 says - we in delay
S2 states = in order to meet the schedule
n has to be 9
why E?
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Re: To fill an order, a manufacturer had to produce 1000 tools  [#permalink]

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18 Jun 2016, 02:41
paidlukkha wrote:
S1 says - we in delay
S2 states = in order to meet the schedule
n has to be 9
why E?

suppose between starting 5 days and ending 4 days there are 2 or more days more where he created 1000 tools each then n=11 or more (and many possibilities)actual deficit between start and end days will remain same (2000-2000=0)

n=9(or can be greater)

hope it helps
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Re: To fill an order, a manufacturer had to produce 1000 tools  [#permalink]

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18 Jun 2016, 05:39
hsbinfy Thanks!
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Re: To fill an order, a manufacturer had to produce 1000 tools  [#permalink]

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01 Aug 2016, 01:05
sandranjeim wrote:
To fill an order, a manufacturer had to produce 1000 tools per day for n days. what is the value of n?

(1) Because of production problems, the manufacturer produced only 600 tools per day during the first 5 days
(2) Because of production problems, the manufacturer had to produce 1,500 tools per day on each of the last 4 days in order to meet the schedule

Stimulus
The toal production is 1000* n

The first 5 days is pretty explanatory.

The language of statement 2 makes it a weird question.
The manufacturer had to produce 1,500 tools per day on each of the last 4 days in order to meet the schedule.
Now we don't know what the schedule is? Does he have to complete production of the tools on 9 days, 10 days , 11 days.

We don't know how many tools he has to make.
May be he has to make 18,000 tools then n will be 18. In first 5 days he will have delay . then the next 9 days he will have some other rate of production and the last 4 days 1500 tools per day.

May be he has to make 9000 tolls then n will be 9

pffff..... Kind of a weird question in my opinion
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Re: To fill an order, a manufacturer had to produce 1000 tools  [#permalink]

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07 Dec 2016, 07:09
From the question stem, total work is 1000*n. So to get value of n, we need to know total number of working days.

Option 1 talks about first 5 days. (Not sufficient)
Option 2 talks about last 4 days. (Not sufficient)

Option 1+ Option 2 together does not convey total number of days. Hence E.
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Re: To fill an order, a manufacturer had to produce 1000 tools  [#permalink]

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29 Jan 2017, 21:23
Let

O: Total amount of tools produced for that order
n: number of days until order is complete
1000: daily production rate

then: O = n * 1000

Thus were only able to determine the value of n if we can determine the value of O (the total number of tools for needed for that order)

(1) Given that 600 tools were produced on each of the first 5 days, we can only say that 5 * 600 = 3000 tools were produced on those 5 days. Nothing, however, is known about the remaining days or the total number of tools needed for the order. Insuff.

(2) Given that 1,500 tools were produced on each of the last 4 days, we can only determine that 4*1,500 = 6000 tools were produced on the last 4 days of the production period. Nothing is said about O in total. Insuff

Given (1) and (2) together, it is still not possible to determine the value of O. The only thing we know is that at least 3000 + 6000 = 9000 tools were needed to complete the order.

Hence E.
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Re: To fill an order, a manufacturer had to produce 1000 tools  [#permalink]

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07 Feb 2017, 07:51
Can't we simply say that since we are given the first 4 days and the last 5 days, we can't solve since no info is given on the days "in between" the first and last? He could have worker for 10 days in between or 500 days in between, so we only have chunks of the timeline, not the whole timeline.
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Re: To fill an order, a manufacturer had to produce 1000 tools  [#permalink]

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04 May 2017, 03:32
Im not understanding why the answer wouldnt be C. I thought if you do 3000 tools from 1) plus 6000 tools from 2), giving a total of 9000, then divided by the totals of 5 days + 4 days, total 9 days, it would give you 9000 tools/9 days, thus 1000 tools per day? Is it because the wording in the statements such as "first 5 days" and "last 4 days" would infer that there could be more or less days? Thanks.

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Re: To fill an order, a manufacturer had to produce 1000 tools  [#permalink]

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04 May 2017, 03:56
infinitemac wrote:
Im not understanding why the answer wouldnt be C. I thought if you do 3000 tools from 1) plus 6000 tools from 2), giving a total of 9000, then divided by the totals of 5 days + 4 days, total 9 days, it would give you 9000 tools/9 days, thus 1000 tools per day? Is it because the wording in the statements such as "first 5 days" and "last 4 days" would infer that there could be more or less days? Thanks.

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The least value of n is 9 but it can be more than 9. Please check here: to-fill-an-order-a-manufacturer-had-to-produce-1000-tools-92826.html#p1191390
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To fill an order, a manufacturer had to produce 1000 tools  [#permalink]

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11 May 2017, 17:54
Bunuel wrote:
infinitemac wrote:
Im not understanding why the answer wouldnt be C. I thought if you do 3000 tools from 1) plus 6000 tools from 2), giving a total of 9000, then divided by the totals of 5 days + 4 days, total 9 days, it would give you 9000 tools/9 days, thus 1000 tools per day? Is it because the wording in the statements such as "first 5 days" and "last 4 days" would infer that there could be more or less days? Thanks.

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The least value of n is 9 but it can be more than 9.

I struggled to with GMAT Prep telling me I got this wrong. Everyone seems to want to throw maths for an answer but it is utterly useless as it is so simple. Unfortunately I feel I got bitten by this answer because of out-thinking it. In a case where 5 days shortage is offset by 4 days accelerated production and the numbers tie up perfectly coming up with answer E forces the implicit assumption "there might have been 365 days production but they waited for the last days between Christmas and New Year's Eve to compensate the shortage 360 days earlier.".

If you assuming the shortage of 2000 units needs to be depleted then somewhere, somehow, you will need to add an extra on your daily rate of 1000 to offset the first 5 days. Thus you get the normal daily rate 1000 per day plus the compensation rate = 1000+Cr. There are an infinite number of possibilities if n is allowed to be any integer number of days. However Answer E is a very specific solution that says the n days between the first 5 and last 4 had a compensation rate of zero.

[in-between phase] + [last 4 days]
(n-5-4) (1000 + 0) + (4)(1000+500)

Granted this is what the problem's formulation indicates but you really need to switch off a slice of brain to make this stick and it just seem awkward. On the other hand Answer C makes far fewer assumptions and ties in a more realistic fashion. I guess what I'm trying to say is if you come up with a real-life problem like that during your MBA and anwer E is a guaranteed managerial failure and I agree with those who scratch their heads on this one.
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Re: To fill an order, a manufacturer had to produce 1000 tools  [#permalink]

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