Consumer Awareness The cost $C$ (in dollars) of
making $x$ photocopies at a copy shop is given by
$$
C(x)=\left\{\begin{array}{ll}{0.15 x,} & {0 < x \leq 25} \\ {0.10 x,} & {25 < x \leq 100} \\ {0.07 x,} & {100 < x \leq 500} \\ {0.05 x,} & {x > 500}\end{array}\right.
$$
(a) Sketch a graph of the function.
(b) Find each limit and interpret your result in the
context of the situation.
$$
\text { (i) }\lim _{x \rightarrow 15} C(x) \quad \text { (ii) } \lim _{x \rightarrow 99} C(x) \quad \text { (iii) } \lim _{x \rightarrow 305} C(x)
$$
(c) Create a table of values to show numerically that
each limit does not exist.
$$
\text { (i) }\lim _{x \rightarrow 25} C(x) \quad \text { (ii) } \lim _{x \rightarrow 100} C(x) \quad \text { (iii) }_{x \rightarrow 500} C(x)
$$
(d) Explain how to use the graph in part (a) to verify
that the limits in part (c) do not exist.