A company that produces computer printers has costs given by

A company that produces computer printers has costs given by the function C(x) = 15x + 15,000, where x is the number of computer printers manufactured and C(x) is measured in dollars. The average cost to manufacture each computer printer is given by 15x4 15,000 x What is the horizontal asymptote for the function C ? Describe what this means in practical terms. y = 15; 15 is the minimum number of computer printers the company can produce. y = 15; $15 is the least possible cost for producing each computer printer. y =15,000; 15,000 is the maximum number of computer printers the company can produce. y = 15,000; $15,000 is the least possible cost for running the company.

Solution

horizontal asymptote y =lim_x->(15x +15000)/x

horizontal asymptote y =lim_x-> 15 +(15000/x)

horizontal asymptote y =15 +0

horizontal asymptote y =15

$15 is the least possible cost for producing each computer printer