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Production index p is directly proportional to efficiency

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Senior Manager
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Production index p is directly proportional to efficiency [#permalink] New post 25 Jun 2008, 06:22
Production index p is directly proportional to efficiency index e, which is in turn directly proportional to investment index i. What is p if i = 70?
(1) e = 0.5 whenever i = 60
(2) p = 2.0 whenever i = 50

OA is <B>

I am confused. Since p is directly propositional to both i and e at the same time. The answer explanation seems ignore e can be changing too.

pls share some view.

Tksss
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Re: GMAT OA, help pls [#permalink] New post 25 Jun 2008, 06:29
"Production index p is directly proportional to efficiency index e": we can write p = K * e (with K a constant)

"which is in turn directly proportional to investment index i": we can write e = J * i (with J a constant)

Thus we also know that p = K * J * i

(1) gives us 0.5 = J * 60 => J=1/120

But we don't know anything about K --> insufficient

(2) gives us 2 = K * J * 50 => K * J = 1 / 25

Therefore when i=70, we can write: p = K * J * i = 1 / 25 * 70 = 14 / 5 --> sufficient
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Re: GMAT OA, help pls [#permalink] New post 25 Jun 2008, 06:30
As you see the relation between e and p is not given in the question.
(2) p = 2.0 whenever i = 50
Hence here p already includes the effect of e in itself.
whenever i changes e changes and in turn p changes and it becomes 2.0.
am i clear?


judokan wrote:
Production index p is directly proportional to efficiency index e, which is in turn directly proportional to investment index i. What is p if i = 70?
(1) e = 0.5 whenever i = 60
(2) p = 2.0 whenever i = 50

OA is <B>

I am confused. Since p is directly propositional to both i and e at the same time. The answer explanation seems ignore e can be changing too.

pls share some view.

Tksss
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Re: GMAT OA, help pls [#permalink] New post 25 Jun 2008, 09:55
judokan wrote:
Production index p is directly proportional to efficiency index e, which is in turn directly proportional to investment index i.


There are three statments here: p = c1*e, e = c2*i and p = (c1*c2)*i.

judokan wrote:
What is p if i = 70?


You can use one of two statements: p = c1*e and p = (c1*c2)*i -> B
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Re: GMAT OA, help pls [#permalink] New post 25 Jun 2008, 17:39
I understand now.

Actually, I misread the question. I thought it was

P = constant x efficiency x investment

Tks all!
Re: GMAT OA, help pls   [#permalink] 25 Jun 2008, 17:39
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