Asmall manufacturer constructs refrigerators. the fixed monthly cost is $200,000, and it costs $450 to produce one refrigerator. the average cost function to produce x refrigerators is represented by: c(x)= 200,000+450x/x. what is the horizontal asymptote of c(x)?

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

Horizontal asymptote of c(x) would be

Hence, Horizontal asymptote of c(x) is 450.

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

The average cost function to produce X refrigerators is represented by:

If the degree of numerator and denominator are same, then horizontal asymptote is

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

Therefore, the horizontal asymptote of C(x) is y=450.

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