document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=136868>Question 136868</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The function l=-0.02x^2+60x models the income earned (i), in dollars, by selling units of  product is:\r<BR>\n" );
document.write( "\n" );
document.write( "What are the greatest possible income?\r<BR>\n" );
document.write( "\n" );
document.write( "How many unit must be sold in order to have the greatest income?\r<BR>\n" );
document.write( "\n" );
document.write( "How many unit must be sold to generte an income of $35,000?\r<BR>\n" );
document.write( "\n" );
document.write( "HELP i have no clue how to do this! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #100176 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=100176\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The function l=-0.02x^2+60x models the income earned (i), in dollars, by selling units of product is: <BR>\n" );
document.write( "What are the greatest possible income?<BR>\n" );
document.write( "The function is a quadratic with a=-0.02, b=60<BR>\n" );
document.write( "The maximum value of the function occurs when x = -b/2a = -60/(2*-0.02) = 1500<BR>\n" );
document.write( "The income when x=1500 is i = $45000.00<BR>\n" );
document.write( "------------------------------------------------------ <BR>\n" );
document.write( "How many unit must be sold in order to have the greatest income?<BR>\n" );
document.write( "Ans: 1500 units<BR>\n" );
document.write( "--------------------- <BR>\n" );
document.write( "How many unit must be sold to generate an income of $35,000? <BR>\n" );
document.write( "35000 = -0.02x^2+60x<BR>\n" );
document.write( "0.02x^2-60x+35000 = 0<BR>\n" );
document.write( "x^2 - 3000x + 175000 =0<BR>\n" );
document.write( "x=59.51<BR>\n" );
document.write( "Rounding up get x=60 units<BR>\n" );
document.write( "===============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );