document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=288487>Question 288487</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Regrind, Inc. regrinds used typewriter platens. The variable cost per platen is $1.80. The total cost to regrind 80 platens is $500. Find the linear cost function to regrind platens. If reground platens sell for $10.60 each, how many must be reground and sold to break even? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #209107 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=209107\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Regrind, Inc. regrinds used typewriter platens. The variable cost per platen is $1.80. <BR>\n" );
document.write( "The total cost to regrind 80 platens is $500. <BR>\n" );
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document.write( "You have a slope = 1.8 and a point (80,500)<BR>\n" );
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document.write( "Find the linear cost function to regrind platens.<BR>\n" );
document.write( "cost = 1.8x + b<BR>\n" );
document.write( "Use the point to solve for \"b\":<BR>\n" );
document.write( "500 = 1.8*80 + b<BR>\n" );
document.write( "b = 356<BR>\n" );
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document.write( "Equation: cost = 1.8x + 356<BR>\n" );
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document.write( "If reground platens sell for $10.60 each, how many must be reground and sold to break even?<BR>\n" );
document.write( "Revenue = 10.6x<BR>\n" );
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document.write( "Break even means Cost = Revenue:<BR>\n" );
document.write( "1.8x + 356 = 10.6x<BR>\n" );
document.write( "8.8x = 356<BR>\n" );
document.write( "x = 40.45<BR>\n" );
document.write( "Round down to 40 (the breakeven number of platens)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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