Company X

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crackgmat007: Legendary Member; Posts: 882; Joined: Fri Feb 20, 2009 2:57 pmFollowed by: 1 member; Thanked: 15 times; GMAT Score:690

by crackgmat007 » Sun Jun 28, 2009 11:53 am

The number n of units of its product that Company X is scheduled to produce in month t of its next fiscal year is given by the formula n = 900/(1+C2^-t), where c is a constant and t is a positive integer between 1 and 6, inclusive. What is the number of units of its product that Company X is scheduled to produce in month 6 of its next fiscal year?
(1) Company X is scheduled to produce 180 units of its product in month 1 of its next fiscal year.
(2) Company X is scheduled to produce 300 units of its product in month 2 of its next fiscal year.

OA - D

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Source: Beat The GMAT — Data Sufficiency | Sun Jun 28, 2009 11:53 am

Morgoth: Master | Next Rank: 500 Posts; Posts: 316; Joined: Mon Sep 22, 2008 12:04 amFollowed by: 1 member; Thanked: 36 times

Re: Company X

by Morgoth » Sun Jun 28, 2009 12:24 pm

Statement I

n=180
t = 1

Put these 2 values in the equation, n = 900/(1+C2^-t), to find the value of C

180 = 900/(1+C2^-1) = 900/(1+C/2) = 900/(2+C)/2 = 1800/(2+C)

180(2+C) = 1800

2+C = 10

C = 8

Now you can put the value of C in the original equation, with t=6, and find the value of n.

Sufficient.

Statement II

Do the same as I did in statement I,

Sufficient.

Hence D.

Hope this helps.

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ssmiles08: Master | Next Rank: 500 Posts; Posts: 472; Joined: Sun Mar 29, 2009 6:54 pm; Thanked: 56 times

by ssmiles08 » Sun Jun 28, 2009 3:05 pm

This problem is not so bad, once you figure out what they are asking for.

you can infer from the question stem that t is the month number. When they say t is a positive integer from 1 to 6, they mean months 1 through months 6.

so you have 2 variable's in the equation. They give you t, and they ask you to find n, by deriving c.

1) you can figure out c, by plugging in 180 and t = 1.

since c is constant, we can use the same C, and figure out n. so it is sufficient.

2) same exact scenario for case 2, so this is sufficient as well.

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aj5105: Legendary Member; Posts: 1169; Joined: Sun Jul 06, 2008 2:34 amFollowed by: 1 member; Thanked: 25 times

by aj5105 » Sun Jun 28, 2009 8:17 pm

right explanation, Smiles.

(D)

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