document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=892578>Question 892578</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Your department sends its copying to a photocopy center, which bills your department $0.08 per page. You are considering buying a departmental copier for $2500. With your copier,the cost per page would be $0.025. The expected life of the copier is 4 years. How many copies must you make in the four year period to justify purchasing the copier? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #540602 by </B><A HREF=/tutors/aboutme.mpl?userid=LinnW><B>LinnW(1048)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=LinnW><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=LinnW><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=540602\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Our cost for copies over 4 years for the two scenarios are<BR>\n" );
document.write( "0.08*x at the departmental rate<BR>\n" );
document.write( "2500 + 0.025*x for a purchased copier<BR>\n" );
document.write( "where x is the number of copies.<BR>\n" );
document.write( "We want to determine when the two costs are the same<BR>\n" );
document.write( "0.08x = 2500 + 0.025x<BR>\n" );
document.write( "add -0.025 to each side<BR>\n" );
document.write( "0.08x - 0.025x = 2500<BR>\n" );
document.write( "0.055x = 2500<BR>\n" );
document.write( "divide each side by 0.055<BR>\n" );
document.write( " x = 2500/0.055<BR>\n" );
document.write( " x = 45454.54<BR>\n" );
document.write( "So we need to make 45455 copies for purchasing a copier to be a good idea. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );