Question

Show both an algebraic and a graphical solution. items c and d

Answer 1

The annual cost function after an x amount of years is

`AC=9+(2000)/(x)`

item c)

The graph of this function is

An asymptote is a line such that the distance between the point (x, f (x)) lying on the curve and the line approaches zero as the point moves along the branch to infinity.

item d)

The asymptotes of this graph are

`\begin{gathered} y=9 \\ x=0 \end{gathered}`

The vertical asymptote represents the minimum amount of years, and the horizontal asymptote represents the minimum annual cost. It is not realistic, because this minimum cost is only possible when the amount of years tends to infiinity.