document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1123631>Question 1123631</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The function C(x) = 119x +750 represents the cost of producing x three-pronged stainless steel widgets. R(x) =169x represents the revenue from selling x of them. Find the following \r<BR>\n" );
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document.write( "a. Number that must be sold to break even<BR>\n" );
document.write( "b. Profit from selling 500<BR>\n" );
document.write( "c. Profit or loss from selling 200 at the regular price and 300 at half price.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #740010 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=740010\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The function C(x) = 119x +750 represents the cost of producing x three-pronged stainless steel widgets. R(x) =169x represents the revenue from selling x of them. Find the following:<BR>\n" );
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document.write( "a. Number that must be sold to break even<BR>\n" );
document.write( "This occurs when R(x) + C(x), therefore<BR>\n" );
document.write( "169x = 119x + 750<BR>\n" );
document.write( "169x - 119x = 750<BR>\n" );
document.write( "50x = 750<BR>\n" );
document.write( "x = 750/50<BR>\n" );
document.write( "x = 15 widgets to break even<BR>\n" );
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document.write( "b. Profit from selling 500<BR>\n" );
document.write( "Profit is revenue - costs:<BR>\n" );
document.write( "P(x) = 169x - (119x+750)<BR>\n" );
document.write( "x = 500<BR>\n" );
document.write( "P(x) = 169(500) - (119(500) + 750)<BR>\n" );
document.write( "P(x) = 84500 - 59500 - 750<BR>\n" );
document.write( "P(x) = $24,250 is the profit from selling 500<BR>\n" );
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document.write( "c. Profit or loss from selling 200 at the regular price and 300 at half price.<BR>\n" );
document.write( "Regular price is $169 per unit, half price: $84.50<BR>\n" );
document.write( "find the revenue from 200 units at regular price: 200*169 = $33,800<BR>\n" );
document.write( "find revenue from 300 units sold at half price: 300*84.50 = $25,350<BR>\n" );
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document.write( "find the  total revenue selling 500 units at these prices: $59,150<BR>\n" );
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document.write( "Find the total cost of making these 500 units: 500(119)+750=$60,250<BR>\n" );
document.write( "59,150 - 60250 = -$1100 loss<BR>\n" );
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document.write( "This is the method, check my math.  <BR>\n" );
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