TEJPAL G.

asked • 06/25/22

Find horizontal asymptote for the function

A business has a cost function of C=0.4x+8000, where C is measured in dollars and x is the number of units produced. The average cost per unit is given by C' = C/x = 0.4x+8000/x, x>0.

Find horizontal asymptote for this function?

Peter R.

tutor
C' = C/x = (0.4x + 8000)/x or 0.4 + 8000/x.
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06/25/22

TEJPAL G.

Its C' = (0.4x+8000)/x.
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06/26/22

1 Expert Answer

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Richard C. answered • 06/25/22

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TEJPAL G.

Thank you so much for the help Sir, @Richard C.
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06/26/22

Richard C.

tutor
You are most welcome!
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06/26/22

David R.

@Richard C. Shouldn't the function be simplified first so that we have (0.4x/x) + (8000/x) in which case the horizontal asymptote will be zero since the denominator is greater than the numerator?
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08/02/22

Richard C.

tutor
If you do that then you get 0.4 + (8000/x) which still produces a horizontal asymptote of y=0.4 because the term 8000/x goes to zero.
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08/02/22

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