document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=796638>Question 796638</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The bici bicycle company is planning to make a low price ultra-light bicycle. There are two different plans being considered for this building this bicycle. The first plan includes a cost of $125000 to design and build a prototype bicycle. The materials and labor costs for each bike made under the first plan will be $225. The second plan includes a cost of $100000 to design and build the prototype. The materials and labor costs for each bike made under the second plan will be $275.  \r<BR>\n" );
document.write( "\n" );
document.write( "You recently got a job at brick bicycle company as a financial analyst. You have been asked to analyze the costs for each proposed bicycle prototype and determine which plan bici should follow. Use any method to determine your response.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #481489 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=481489\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assume n bicycles of each plan.<BR>\n" );
document.write( "x = total cost for first plan;<BR>\n" );
document.write( "y = total cost for second plan.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "First plan: 125000+225n=x\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Second plan:  100000+275n=y\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "We might want to know, for how many produced bicycles would the two plans be of equal cost.  Equate x and y, and solve for n.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "We can use this found value of n to calculate which plan is more expensive for quantity of bikes less than n; and we can calculate which plan is more expensive for quantity of bikes greater than n.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Starting this, if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=y ALIGN=MIDDLE  ALT=\"x=y\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=125000%2B225n=100000%2B275n ALIGN=MIDDLE  ALT=\"125000%2B225n=100000%2B275n\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=125000-100000=275n-225n ALIGN=MIDDLE  ALT=\"125000-100000=275n-225n\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25000=50n ALIGN=MIDDLE  ALT=\"25000=50n\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2500=5n ALIGN=MIDDLE  ALT=\"2500=5n\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=500 ALIGN=MIDDLE  ALT=\"n=500\"   DISABLED_style= \"max-width:90%; height:auto;\" >.   This is how many bikes produced of each plan would make the plans equal in cost.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now, you can test x and y for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%3C500 ALIGN=MIDDLE  ALT=\"n%3C500\"   DISABLED_style= \"max-width:90%; height:auto;\" > and for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%3E500 ALIGN=MIDDLE  ALT=\"n%3E500\"   DISABLED_style= \"max-width:90%; height:auto;\" > and see how the plans compare.<BR>\n" );
document.write( "--<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=125000%2B225%2A400 ALIGN=MIDDLE  ALT=\"x=125000%2B225%2A400\"   DISABLED_style= \"max-width:90%; height:auto;\" >=?<BR>\n" );
document.write( "-<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=100000%2B275%2A400 ALIGN=MIDDLE  ALT=\"y=100000%2B275%2A400\"   DISABLED_style= \"max-width:90%; height:auto;\" >=?, and the \"400\" is just arbitrarily chosen.<BR>\n" );
document.write( "-<BR>\n" );
document.write( "-<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=125000%2B225%2A600 ALIGN=MIDDLE  ALT=\"x=125000%2B225%2A600\"   DISABLED_style= \"max-width:90%; height:auto;\" >=?, and again, the \"600\" is arbitrary.<BR>\n" );
document.write( "-<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=100000%2B275%2A600 ALIGN=MIDDLE  ALT=\"y=100000%2B275%2A600\"   DISABLED_style= \"max-width:90%; height:auto;\" >=? </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );