SOLUTION: A mail-order digital photo developer charges 8 cents for each print plus a $2.98 shipping fee. A local developer charges 15 cents for each print. How many digital prints must be or

Question 227663: A mail-order digital photo developer charges 8 cents for each print plus a $2.98 shipping fee. A local developer charges 15 cents for each print. How many digital prints must be ordered in order that: a. the local developer offers the lower price? b. the mail-order developer offers the lower price?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = price in cents for prints
For mail-order developer:

For local developer:

When are the prices for prints equal?

, or 42 prints
For 43 prints, the mail-order developer's price is:

or $6.42
and the local developer's price is

or $6.45
(b)The mail-order developer's price becomes cheaper at 43 prints
and
For 41 prints:

or, $6.26
and

or, $6.15
(a) The local developer's price remains cheapest up to 41 prints

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