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

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Manager
Joined: 09 Jun 2010
Posts: 71

Kudos [?]: 27 [1], given: 17

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

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26 Jul 2010, 01:59
1
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Difficulty:

5% (low)

Question Stats:

85% (01:27) correct 15% (01:02) wrong based on 41 sessions

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 [Reveal] Spoiler: OA Kudos [?]: 27 [1], given: 17 Math Expert Joined: 02 Sep 2009 Posts: 42269 Kudos [?]: 132810 [0], given: 12378 Re: Company p's cost c, in dollars, of producing n units of a certain prod [#permalink] ### Show Tags 26 Jul 2010, 02:28 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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Kudos [?]: 132810 [0], given: 12378

Manager
Joined: 09 Jun 2010
Posts: 71

Kudos [?]: 27 [0], given: 17

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

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26 Jul 2010, 02:51
thanks man
all clear
you are awesome

Kudos [?]: 27 [0], given: 17

Non-Human User
Joined: 09 Sep 2013
Posts: 15620

Kudos [?]: 283 [0], given: 0

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

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22 Sep 2017, 12:22
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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, 18:08
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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Kudos [?]: 933 [0], given: 3

Re: Company p's cost c, in dollars, of producing n units of a certain prod   [#permalink] 25 Sep 2017, 18:08
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