Respuesta :
Answer: Horizontal asymptote of c(x) is 450.
Step-by-step explanation:
Since we have given that
Cost to produce one refrigerator = $450
Fixed monthly cost = $200,000
So, Average cost function to produce x refrigerators is given by
[tex]c(x)=\dfrac{200000+450x}{x}[/tex]
Horizontal asymptote of c(x) would be
[tex]\dfrac{450x}{x}\\\\=450[/tex]
Hence, Horizontal asymptote of c(x) is 450.
Answer:
y=450
Step-by-step explanation:
It is given that the fixed monthly cost is $200,000, and it costs $450 to produce one refrigerator.
Total cost of x refrigerator is
[tex]T(x)=200,000+450x[/tex]
The average cost function to produce X refrigerators is represented by:
[tex]C(x)=\dfrac{200,000+450x}{x}[/tex]
If the degree of numerator and denominator are same, then horizontal asymptote is
[tex]y=\frac{p}{q}[/tex]
where, p is the leading coefficient of numerator and q is leading coefficient of denominator.
In the above function leading coefficient of numerator is 450 and leading coefficient of denominator is 1. So, horizontal asymptote is
[tex]y=\frac{450}{1}[/tex]
[tex]y=450[/tex]
Therefore, the horizontal asymptote of C(x) is y=450.
