A certain office can purchase a photocopier for $5600 with a maintenance fee of $15 a month. On the other hand, they can rent the photocopier for $95 a month (including maintenance). If they purchase the photocopier, each copy would cost 3¢; if they rent, the cost is 6¢ per copy. The office manager estimates that they make 8000 copies a month.

Question

A certain office can purchase a photocopier for $5600 with a maintenance fee of $15 a month. On the other hand, they can rent the photocopier for $95 a month (including maintenance). If they purchase the photocopier, each copy would cost 3¢; if they rent, the cost is 6¢ per copy. The office manager estimates that they make 8000 copies a month.
(a) Find a linear function C that models the cost 
C(x)
 (in dollars) of purchasing and using the copier for x months.
(b) Find a linear function S that models the cost 
S(x)
 (in dollars) of renting and using the copier for x months.

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