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

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GMAT Club Legend
Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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Kudos [?]: 1654 [0], given: 396

The net profit that Ann makes from selling x pillows is give [#permalink]  06 Apr 2018, 15:34
Expert's post
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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Sandy
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Director
Joined: 07 Jan 2018
Posts: 553
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Kudos [?]: 477 [1] , given: 84

Re: The net profit that Ann makes from selling x pillows is give [#permalink]  17 Apr 2018, 02:08
1
KUDOS
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
Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

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

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