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At RW Press, the advertising rate, a, is inversely

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At RW Press, the advertising rate, a, is inversely [#permalink] New post 24 Oct 2012, 03:46
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At RW Press, the advertising rate, a, is inversely proportional to the productivity measure, b, which, in turn, is inversely proportional to the labor cost, c. Is the labor cost at least 200 when the productivity measure is at least 100?

(1) When C\geq{100}, B\geq{50}

(2) When C=100, a=100
[Reveal] Spoiler: OA

Last edited by Bunuel on 24 Oct 2012, 04:20, edited 1 time in total.
Renamed the topic and edited the question.
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Re: At RW Press, the advertising rate, a, is inversely [#permalink] New post 31 Oct 2012, 05:22
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LM wrote:
At RW Press, the advertising rate, a, is inversely proportional to the productivity measure, b, which, in turn, is inversely proportional to the labor cost, c. Is the labor cost at least 200 when the productivity measure is at least 100?

(1) When C\geq{100}, B\geq{50}

(2) When C=100, a=100




Hi,

Based on Q's we can say that

a=k1/b where K1 is a constant and a -A.R and b is Productivity ----> Eq 1
b=K2/C where K2 is constant C is labour cost----> Eq 2

As per St 1 When C>/100, B>/50 ---> When C =100, B=50, Value of K2 is 5000
Putting B value as 100 in Eq 2, we can find value of C

St 2

Solving in similar way, we end up only with ratio of K1/K2 and hence cannot find value of C against given value of B

My ans choice is A
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At RW Press, the advertising rate, a, is inversely [#permalink] New post 07 May 2013, 23:24
At RW Press, the advertising rate, a, is inversely proportional to the productivity measure, b, which, in turn, is inversely proportional to the labor cost, c. Is the labor cost at least 200 when the productivity measure is at least 100?

(1) When c>= 100,b>=50 .

(2) When c=100,a=100 .


can some one please shed some light on this?
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Re: At RW Press, the advertising rate, a, is inversely [#permalink] New post 08 May 2013, 00:13
Until the OA is posted, this answer will be based on my own understanding, therefore susceptible to be incorrect. :?

The wording of this problem seems off to me. Anyway, let's solve this.

First of all, we need to understand and rephrase the problem.

We are told that the advetising rate "a" is inversely proportional to the productivity measure "b". Algebraically it means that there's a constant C such as : a=\frac{C}{b} (1)
Likewise, we are told that the productivity measure "b" is inversely proportional to the labor cost "c". Algebraically it means that there's a constant D such as : b = \frac{D}{c} (2)

So we're told that to see whether the labor cost is at least 200 when the productivity measure is at least 100. Meaning that we need to find the value of the constant D.

Statement 1 : whenc >=100 then b >=50

Using equation (2), we get : D = b*c which means that given the statement, D >= 5000.
If we consider the lowest possible value of D, i.e 5000, we get for b >= 100, \frac{D}{c} >= 100, meaning that \frac{5000}{c} >=100, therefore
c <= 50.

Which means that the labor cost will be at most 50 when the productivity measure is at least 100 given D = 5000. In fact the more D increases, the more c decreases. So statement 1 is sufficient.

Statement 2 : when c = 100 then a = 100

Since a and c are not directly linked, then using both equations 1 & 2, we can find the link between the two variables :

We have : a=\frac{C}{b}
and b = \frac{D}{c}
Therefore, by putting b's expression in a, we get a = c*\frac{C}{D}

Since a = c, then we get C = D. And since there's no further information to be gained from this statement (remember that we're looking for D's value), then this statement is insufficient.

The final answer is A.

Hope that helped :-D
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Re: At RW Press, the advertising rate, a, is inversely [#permalink] New post 08 May 2013, 04:57
Expert's post
mannava189 wrote:
At RW Press, the advertising rate, a, is inversely proportional to the productivity measure, b, which, in turn, is inversely proportional to the labor cost, c. Is the labor cost at least 200 when the productivity measure is at least 100?

(1) When c>= 100,b>=50 .

(2) When c=100,a=100 .


can some one please shed some light on this?


Merging similar topics.
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Re: At RW Press, the advertising rate, a, is inversely [#permalink] New post 06 Feb 2014, 01:32
My approach was very simple.

If two variables are inversely proportional, it simply means if one goes up then other goes down and vice versa.

Stmt 1 then gives straight forward NO answer to our question. when C>=100 B>=50. If B increases to 100 then C decreases further and will be <100. Hence C cannot be >=200 when B>=100. Sufficient.

Stmt 2 Is a bit tricky. Nothing is mentioned about B and we just know the relation between a & b. b & c.

given a=100 and c=100.

Now if a goes up b comes down. thus c increases.

if b were 900, increasing a & c to >=200 may have b at 400 or 100. we don't know. hence insufficient.

A is the answer.
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Re: At RW Press, the advertising rate, a, is inversely   [#permalink] 06 Feb 2014, 01:32
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