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Question 88125: Help, I need to graph a cost function rule of:
C(x)=x^2+6x / x+2
The information that I am provided with is:
Suppose the production cost per unit c(x), in dollars, when a firm manufactures x thousand units of a certain product is given by c(x)= x+6 / x+2.
The cost for 1,000 units produced is $2.33 (thousand)
The cost for 5,000 units produced is $1.57 (thousand)
The cost for 10,000 units produced is $1.33 (thousand)
The rule for C(x) for the total production cost (in thousands) when x thousand units are produced. (Hint: Total Cost = number of units produced times cost per unit.) I have solved it this far, but I am stumped on the last one. Graphing the C(x)= x^2+6x / x+2. Please put it the simplest way you can. Like listing the points on the graph, I can take it from there.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! graph a cost function rule of:
C(x)=(x^2+6x) / (x+2)
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You have a vertical asymptote at x=-2.
You have x-intercepts at x=0 and at x=-6
As x gets arbitrarily large, C(x) gets arbitrarily large.
AS x approaches -inf, C(x) approaches -inf.
When x=1, C(1) = 7/2
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Cheers,
Stan H.
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