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# A company manufactures products A and B. The cost of

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Manager
Joined: 04 Sep 2005
Posts: 142
Location: Fringes of the Boreal, Canada
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Kudos [?]: 5 [0], given: 0

A company manufactures products A and B. The cost of [#permalink]  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
_________________

"To hell with circumstances; I create opportunities." - Bruce Lee

Director
Joined: 21 Aug 2005
Posts: 793
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C

No need to work this out. Only in Choice C is the difference b/w A and B 25.
SVP
Joined: 24 Sep 2005
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gsr wrote:
C

No need to work this out. Only in Choice C is the difference b/w A and B 25.
Director
Joined: 14 Sep 2005
Posts: 993
Location: South Korea
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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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Manager
Joined: 04 Sep 2005
Posts: 142
Location: Fringes of the Boreal, Canada
Followers: 1

Kudos [?]: 5 [0], given: 0

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 . On the other hand, this is the kind of thinking the GMAT promotes.
_________________

"To hell with circumstances; I create opportunities." - Bruce Lee

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