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The function of the relationship between the cost (c) and the revenue

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The function of the relationship between the cost (c) and the revenue [#permalink]

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New post 23 Feb 2017, 17:49
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  35% (medium)

Question Stats:

69% (01:13) correct 31% (01:17) wrong based on 55 sessions

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The function of the relationship between the cost (c) and the revenue (x) is the equal to \(c(cost)= bx+a\). If the revenue is increased by $1,000, by how many dollars did the cost increase?

1) a=10
2) b=20

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Re: The function of the relationship between the cost (c) and the revenue [#permalink]

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New post 23 Feb 2017, 22:56
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AustinKL wrote:
The function of the relationship between the cost (c) and the revenue (x) is the equal to \(c(cost)= bx+a\). If the revenue is increased by $1,000, by how many dollars did the cost increase?

1) a=10
2) b=20


St I
a=10, has no direct link with the revenue(x) --------Insufficient

St II
b=20,
so c(new_cost) = b(new_revenue)+a
=> c(new_cost) = b(x+1000)+a
=> c(new_cost) = bx +1000*b +a
=> c(new_cost) = 1000*b + bx +a
=> c(new_cost) = 1000*b + c(cost)
=> c(new_cost) = 1000*20 + c(cost)
=> c(new_cost) = 20000 + c(cost) ---------Sufficient

Hence option B is correct
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Re: The function of the relationship between the cost (c) and the revenue   [#permalink] 23 Feb 2017, 22:56
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The function of the relationship between the cost (c) and the revenue

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