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According to a financial analyst, if company C sets the unit selling

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According to a financial analyst, if company C sets the unit selling  [#permalink]

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New post Updated on: 07 Oct 2018, 02:24
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According to a financial analyst, if company C sets the unit selling price of its product at X dollars, then its monthly profit P in dollars is given by the formula P = 1000(4x-x^2-2). According to this formula at what amount should company C set the unit selling price of its product so that its monthly profit is $2000?

A. $1
B. $2
C. $3
D. $4
E. $6

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Originally posted by gmat1393 on 06 Oct 2018, 07:56.
Last edited by Bunuel on 07 Oct 2018, 02:24, edited 1 time in total.
Renamed the topic and edited the question.
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Re: According to a financial analyst, if company C sets the unit selling  [#permalink]

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New post 06 Oct 2018, 13:38
Given profit \(P = 1000(4x-x^2-2)\)

We need to find \(x\) so that \(P =2000\)

\(2000 = 1000(4x-x^2-2)\)
\(2=(4x-x^2-2)\)
\(4=x(4-x)\)

Option B: \(X= 2\) satisfies the equation.


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Re: According to a financial analyst, if company C sets the unit selling   [#permalink] 06 Oct 2018, 13:38
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According to a financial analyst, if company C sets the unit selling

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