document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1037818>Question 1037818</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A manufacturer produces items and sells them for $2 per item.  It costs $42 to make 32 items and the daily operational overhead is $45.00. <BR>\n" );
document.write( "a) Graph the cost and revenue functions on the same set of axes.<BR>\n" );
document.write( "b) Find the break-even point using algebra not the graph.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #652555 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=652555\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A manufacturer produces items and sells them for $2 per item.<BR>\n" );
document.write( " It costs $42 to make 32 items and the daily operational overhead is $45.00.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find the cost to make each individual item<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=42%2F32 ALIGN=MIDDLE  ALT=\"42%2F32\"   DISABLED_style= \"max-width:90%; height:auto;\" > = $1.3125<BR>\n" );
document.write( "x = no. of items made<BR>\n" );
document.write( "Cost<BR>\n" );
document.write( "C(x) = 1.3125x + 45 (Red)<BR>\n" );
document.write( "Revenue<BR>\n" );
document.write( "R(x) = 2x (green)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "(a) Graph the cost and revenue functions on the same set of axes.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-20%2C+100%2C+-20%2C+200%2C+1.3125x%2B45%2C+2x%2C+132%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-20%2C+100%2C+-20%2C+200%2C+1.3125x%2B45%2C+2x%2C+132%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "b) Find the break-even point using algebra not the graph.<BR>\n" );
document.write( "Rev = Cost<BR>\n" );
document.write( "2x = 1.3125x + 45<BR>\n" );
document.write( "2x - 1.3125x = 45<BR>\n" );
document.write( ".6875x = 45<BR>\n" );
document.write( "x = 45/.6875<BR>\n" );
document.write( "x = 65.46 ~ 66 items to at least break even<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Confirm<BR>\n" );
document.write( "2(66) = $132 (Blue line)<BR>\n" );
document.write( "1.3125(66) + 45 = $131.63<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );