Problema Solution

Suppose C(x) = x

2 − 10x + 27, x ≥ 0 represents the costs, in hundreds of dollars, to produce

x thousand pens. Find the number of pens which can be produced for no more than $1100.

Answer provided by our tutors

We assume that by no more that $1100 you mean 1100 hundreds dollars.

C(x) = x^2 − 10x + 27

We need to find x when C(x) = 1100:

x^2 − 10x + 27 = 1100

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click here to see the equation solved for x

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x = 38 thousand pends

38,000 pens can be produced for not more than 1,100 hundreds of dollars or $110,000.