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A company manufactures products A and B. The cost of

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Manager
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A company manufactures products A and B. The cost of [#permalink] New post 23 Nov 2005, 15:22
A company manufactures products A and B. The cost of producing each unit of A is $2 more than that of B. The costs of production of A and B are $1500 and $1000, respectively, and 25 more units of A are produced than of B. How many of each are produced?

A) A=135 and B=110 or A=130 and B=100
B) A=100 and B=90 or A=120 and B=100
C) A=125 and B=100 or A=150 and B=125
D) A=135 and B=150 or A=100 and B=135
E) A=150 and B=125 or A=100 and B=110
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 [#permalink] New post 23 Nov 2005, 18:53
C

No need to work this out. Only in Choice C is the difference b/w A and B 25.
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 [#permalink] New post 23 Nov 2005, 19:04
gsr wrote:
C

No need to work this out. Only in Choice C is the difference b/w A and B 25.
:cool
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 [#permalink] New post 23 Nov 2005, 19:11
gsr wrote:
C

No need to work this out. Only in Choice C is the difference b/w A and B 25.


Very smart!

ca = cost of product A
cb = cost of product B
na = number of products A
nb = number of products B

ca = cb + 2
na = nb + 25
na*ca = 1500
nb*cb = 1000

na*ca = 1500
na(cb+2)=1500
(nb+25)(cb+2)=1500
(1000/cb+25)(cb+2)=1500
(cb-8)(cb-10)=0
cb = 8 or cb = 10
nb = 125 or nb = 100
na = 150 or na = 125

Therefore, (C) is the correct answer, which is already smartly proved by gsr.
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 [#permalink] New post 24 Nov 2005, 09:37
gsr wrote:
C

No need to work this out. Only in Choice C is the difference b/w A and B 25.


Very good. I made up the answer choices to this question since it came from a non-GMAT textbook. I guess I should have made the choices more difficult :roll: . On the other hand, this is the kind of thinking the GMAT promotes.
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  [#permalink] 24 Nov 2005, 09:37
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A company manufactures products A and B. The cost of

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