Respuesta :
The horizontal asymptote of y = 3.10 represents that the average cost per unit will approach $3.10 as the number of units produced increases.
Given
A certain company has a fixed cost of $200 per day.
It costs the company $3. 10 per unit to make its products.
The company is tracking its average cost to make x units using;
[tex]\rm f(x)= \dfrac{(200+3.10x)}{x}[/tex]
What is a horizontal asymptote?
Horizontal asymptotes exist for functions where both the numerator and denominator are polynomials.
To find the horizontal asymptote following all the steps given below.
- The vertical asymptotes are the values of x which are outside the domain, which is a fraction are the zeroes of the denominator.
- The horizontal asymptote is the value of f(x) as x goes to infinity.
- The vertical asymptote is at x = 0, which means that when 0 units are produced, the function for the average cost per unit is not defined.
Hence, the horizontal asymptote of y = 3.10 represents that the average cost per unit will approach $3.10 as the number of units produced increases.
To know more about Horizontal asymptote click the link given below.
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