Sandy is an accountant for Atlantic Cycles a company that ma

Sandy is an accountant for Atlantic Cycles, a company that makes bicycle frames. The unit cost of producing x bicycle frames is given by the function f(x) =100 - 0.15x. In order to compute the total cost of producing a given number of bicycle frames, Sandy needs to evaluate the function g(x) = x f(x).

What is the value of g(180)?

Solution

f(x) = 100 - 0.15x

g(x) = x*f(x) = x(100 -0.15x)

g(180) is found by by plugging x=180 in g(x)

g(180) = 180( 100 - 0.15*180) = 13140