Question 227663
Let {{{P}}}= price in cents for {{{p}}} prints
For mail-order developer:
{{{P[1] = 8p + 298}}}
For local developer:
{{{P[2] = 15p}}}
When are the prices for {{{p}}} prints equal?
{{{P[1] = P[2]}}}
{{{8p + 298 = 15p}}}
{{{7p = 298}}}
{{{p = 42.6}}}, or 42 prints
For 43 prints, the mail-order developer's price is:
{{{P[1] = 8*43 + 298}}}
{{{P[1] = 344 + 298}}}
{{{P[1] = 642}}} or $6.42
and the local developer's price is
{{{P[2] = 15*43}}}
{{{P[2] = 645}}} or $6.45
(b)The mail-order developer's price becomes cheaper at 43 prints
and
For 41 prints:
{{{P[1] = 8*41 + 298}}}
{{{P[1] = 328 + 298}}}
{{{P[1]= 626}}} or, $6.26
and
{{{P[2] = 15*41}}}
{{{P[2] = 615}}} or, $6.15
(a) The local developer's price remains cheapest up to 41 prints