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

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Intern
Joined: 09 Jun 2010
Posts: 49
Company P's cost c, in dollars, of producing n units of a certain prod  [#permalink]

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26 Jul 2010, 00:59
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Difficulty:

5% (low)

Question Stats:

88% (01:26) correct 12% (01:54) wrong based on 90 sessions

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 Math Expert Joined: 02 Sep 2009 Posts: 65841 Re: Company P's cost c, in dollars, of producing n units of a certain prod [#permalink] ### Show Tags 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, $$n_{max}=70,000$$.

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Intern
Joined: 09 Jun 2010
Posts: 49
Re: Company P's cost c, in dollars, of producing n units of a certain prod  [#permalink]

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26 Jul 2010, 01:51
thanks man
all clear
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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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

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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