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Company P's cost c, in dollars, of producing n units of a certain prod

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Company P's cost c, in dollars, of producing n units of a certain prod  [#permalink]

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New post 26 Jul 2010, 00:59
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Company P's cost c, in dollars, of producing n units of a certain product is c = 2.5n + 25,000. What is the greatest number of units that Company P can produce if the cost of producing these units cannot exceed $200,000 ?

(A) 55,000
(B) 60,000
(C) 65,000
(D) 70,000
(E) 75,000
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Re: Company P's cost c, in dollars, of producing n units of a certain prod  [#permalink]

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New post 26 Jul 2010, 01:28
xmagedo wrote:
Company p's cost c, in dollars, of producing n units of a certain product is c=2.5n+25000. What is the greatest number of units that company p can produce if the cost of production these units cannot exceed $200,000?

A 55000
B 60000
C 65000
D 70000
E 75000

thanks


Given: \(cost=2.5n+25,000\) and it must be less than or equal to 200,000 --> \(cost=2.5n+25,000\leq{200,000}\) --> \(n\leq{70,000}\). So, \(n_{max}=70,000\).

Answer: D.
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Re: Company P's cost c, in dollars, of producing n units of a certain prod  [#permalink]

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New post 26 Jul 2010, 01:51
thanks man
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you are awesome
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Re: Company P's cost c, in dollars, of producing n units of a certain prod  [#permalink]

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New post 25 Sep 2017, 17:08
xmagedo wrote:
Company p's cost c, in dollars, of producing n units of a certain product is c=2.5n+25000. What is the greatest number of units that company p can produce if the cost of production these units cannot exceed $200,000?

A 55000
B 60000
C 65000
D 70000
E 75000


We can create the following equation:

2.5n + 25,000 ≤ 200,000

2.5n ≤ 175,000

n ≤ 70,000

Answer: D
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Re: Company P's cost c, in dollars, of producing n units of a certain prod   [#permalink] 25 Sep 2017, 17:08

Company P's cost c, in dollars, of producing n units of a certain prod

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