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The net profit that Ann makes from selling x pillows is give

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GMAT Club Legend
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Joined: 07 Jun 2014
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The net profit that Ann makes from selling x pillows is give [#permalink] New post 06 Apr 2018, 15:34
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00:00

Question Stats:

55% (00:25) correct 44% (01:06) wrong based on 9 sessions
The net profit that Ann makes from selling x pillows is given by the expression \(x^2 - 2x - 288\).

Quantity A
Quantity B
The number of pillows that Ann must sell for her net profit to be zero
20


A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.

Drill 1
Question: 10
Page: 508-509
[Reveal] Spoiler: OA

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Re: The net profit that Ann makes from selling x pillows is give [#permalink] New post 17 Apr 2018, 02:08
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All that is asked here is solve the given equation \(x^2 - 2x - 288 = 0\)
By simplification, \(X^2 -18x + 16x -288 = 0\)
Hence, \(x(x-18) +16(x - 18) = 0\)
Therefore, \(x = -16,18\)
However the value of x cannot be \(-\)ve since the number of pillows sold cannot be negative
Hence, \(x =18\) < Qty B
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GMAT Club Legend
GMAT Club Legend
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Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1654 [0], given: 396

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Re: The net profit that Ann makes from selling x pillows is give [#permalink] New post 18 Apr 2018, 15:36
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Explanation

Set the expression equal to zero and then factor it.

You are looking for factors of 288 that have a difference of 2.

So find the integer factor pairs, starting with 1: 1 and 288; 2 and 144; 3 and 96; 4 and 72; 6 and 48; 8 and 36; 9 and 32; 12 and 24; 16 and 18.

The last pair you found works, so the factored form of your equation is: (x – 18)(x + 16) = 0. The solutions are 18 and –16, but obviously Ann cannot sell a negative number of pillows. The answer is choice (B).
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Re: The net profit that Ann makes from selling x pillows is give   [#permalink] 18 Apr 2018, 15:36
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