document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=912653>Question 912653</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The profit function for a computer company is given by P(x)=&#8722;x^2+22x&#8722;18 where x is the number of units produced (in thousands) and the profit is in thousand of dollars. \r<BR>\n" );
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document.write( " a) Determine how many (thousands of) units must be produced to yield maximum profit. Determine the maximum profit. <BR>\n" );
document.write( "MY ANSWER:(thousands of) units =   11\r<BR>\n" );
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document.write( "MY ANSWER: maximum profit =   345  thousand dollars \r<BR>\n" );
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document.write( "I NEED HELP FINDING:\r<BR>\n" );
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document.write( "b) Determine how many units should be produced for a profit of at least 40 thousand. \r<BR>\n" );
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document.write( "more than   (thousands of) units \r<BR>\n" );
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document.write( "less than   (thousands of) units\r<BR>\n" );
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document.write( "THANK YOU<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 #553966 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=553966\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5Bmax%5D+=+-b%2F%282a%29+ ALIGN=MIDDLE  ALT=\"+x%5Bmax%5D+=+-b%2F%282a%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "where:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+-1+ ALIGN=MIDDLE  ALT=\"+a+=+-1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+22+ ALIGN=MIDDLE  ALT=\"+b+=+22+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5Bmax%5D+=+-22%2F%282%2A%28-1%29%29+ ALIGN=MIDDLE  ALT=\"+x%5Bmax%5D+=+-22%2F%282%2A%28-1%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5Bmax%5D+=+11+ ALIGN=MIDDLE  ALT=\"+x%5Bmax%5D+=+11+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P%5Bmax%5D+=+-11%5E2+%2B+22%2A11+-+18+ ALIGN=MIDDLE  ALT=\"+P%5Bmax%5D+=+-11%5E2+%2B+22%2A11+-+18+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P%5Bmax%5D+=+-121+%2B+242+-+18+ ALIGN=MIDDLE  ALT=\"+P%5Bmax%5D+=+-121+%2B+242+-+18+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P%5Bmax%5D+=+103+ ALIGN=MIDDLE  ALT=\"+P%5Bmax%5D+=+103+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+40+=+-x%5E2+%2B+22x+-+18+ ALIGN=MIDDLE  ALT=\"+40+=+-x%5E2+%2B+22x+-+18+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+-+22x+=+-58+ ALIGN=MIDDLE  ALT=\"+x%5E2+-+22x+=+-58+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Complete the square<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+-+22x+%2B+%2822%2F2%29%5E2+=+-58+%2B+%2822%2F2%29%5E2+ ALIGN=MIDDLE  ALT=\"+x%5E2+-+22x+%2B+%2822%2F2%29%5E2+=+-58+%2B+%2822%2F2%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+-+22x+%2B+121+=+-58+%2B+121+ ALIGN=MIDDLE  ALT=\"+x%5E2+-+22x+%2B+121+=+-58+%2B+121+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+-+22x+%2B+121+=+63+ ALIGN=MIDDLE  ALT=\"+x%5E2+-+22x+%2B+121+=+63+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+x+-+11+%29%5E2+=+63+ ALIGN=MIDDLE  ALT=\"+%28+x+-+11+%29%5E2+=+63+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Take the square root of both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+-+11+=+3%2Asqrt%287%29+ ALIGN=MIDDLE  ALT=\"+x+-+11+=+3%2Asqrt%287%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+11+-+7.9373+ ALIGN=MIDDLE  ALT=\"+x+=+11+-+7.9373+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+3.0627+ ALIGN=MIDDLE  ALT=\"+x+=+3.0627+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+11+%2B+7.9373+ ALIGN=MIDDLE  ALT=\"+x+=+11+%2B+7.9373+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+18.9373+ ALIGN=MIDDLE  ALT=\"+x+=+18.9373+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "More than 3,063 units and less than 18,937<BR>\n" );
document.write( "units should be produced<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "check my math, too<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );