document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=184121>Question 184121</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a company finds that if it produces and sells q units of a product, its total revenue in dollars is 100 q^2.  if the variable cost per unit is 2 dollars and the fixed cost is 1200 dollars, find the value of q for which<BR>\n" );
document.write( "total sales revenue= variable cost + fixed cost\r<BR>\n" );
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document.write( "( that is, profit is zero) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #138147 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=138147\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  a company finds that if it produces and sells q units of a product, its total revenue in dollars is 100 q^2. if the variable cost per unit is 2 dollars and the fixed cost is 1200 dollars, find the value of q for which<BR>\n" );
document.write( "total sales revenue= variable cost + fixed cost <BR>\n" );
document.write( "-----------------------------------------------------<BR>\n" );
document.write( "total revenue = 100q^2<BR>\n" );
document.write( "variable cost + fixed cost = 2q + 1200<BR>\n" );
document.write( "------------------------------------------<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "100q^2 = 2q + 1200<BR>\n" );
document.write( "100q^2 - 2q - 1200 = 0<BR>\n" );
document.write( "50q^2 - q - 600 = 0<BR>\n" );
document.write( "q = [1 +- sqrt(1 -4*50*-600)]/100\r<BR>\n" );
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document.write( "q = [1 +- sqrt(120001)]/100\r<BR>\n" );
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document.write( "q = [1 +- 346.41]/100<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "Positive Solution:<BR>\n" );
document.write( "q = (1+346.41)/100 \r<BR>\n" );
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document.write( "q =  $3.47<BR>\n" );
document.write( "===========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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