document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=963939>Question 963939</A>: <I><SPAN STYLE=\"word-break: break-all;\"> HI! Im having troubles with quadratic equations! i was hoping you could show me all the steps? My question is: \r<BR>\n" );
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document.write( "The Wheely Fast Co. makes custom skateboards for professional riders. they model their profit with the relation P= -2b^2 + 14b - 20, where b is the number of skate boards they produce (in thousands) and P is the company's profit in hundred thousands of dollars. \r<BR>\n" );
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document.write( "How many skateboards foe Wheely Fast need to produce to maximize profit? \r<BR>\n" );
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document.write( "Thank you so much!  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #588884 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=588884\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=+-2b%5E2+%2B+14b+-20 ALIGN=MIDDLE  ALT=\"P=+-2b%5E2+%2B+14b+-20\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "set <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=0 ALIGN=MIDDLE  ALT=\"P=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=+-2b%5E2+%2B+14b+-20 ALIGN=MIDDLE  ALT=\"0=+-2b%5E2+%2B+14b+-20\"   DISABLED_style= \"max-width:90%; height:auto;\" >..........factor out <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2 ALIGN=MIDDLE  ALT=\"-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=+-2%28b%5E2+-7b+%2B10%29 ALIGN=MIDDLE  ALT=\"0=+-2%28b%5E2+-7b+%2B10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >....factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1 ALIGN=MIDDLE  ALT=\"-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > out\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=+-2%28b%5E2+-+7b+%2B10%29 ALIGN=MIDDLE  ALT=\"0=+-2%28b%5E2+-+7b+%2B10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >......write <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-7b ALIGN=MIDDLE  ALT=\"-7b\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2b-5b ALIGN=MIDDLE  ALT=\"-2b-5b\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=+-2%28b%5E2+-+2b-5b+%2B10%29 ALIGN=MIDDLE  ALT=\"0=+-2%28b%5E2+-+2b-5b+%2B10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >...group\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=+-2%28%28b%5E2+-+2b%29-%285b+-10%29%29 ALIGN=MIDDLE  ALT=\"0=+-2%28%28b%5E2+-+2b%29-%285b+-10%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=+-2%28b%28b+-+2%29-5%28b+-2%29%29 ALIGN=MIDDLE  ALT=\"0=+-2%28b%28b+-+2%29-5%28b+-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=+-2%28%28b-5%29%28b+-2%29%29 ALIGN=MIDDLE  ALT=\"0=+-2%28%28b-5%29%28b+-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "solutions:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=5 ALIGN=MIDDLE  ALT=\"b=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=2 ALIGN=MIDDLE  ALT=\"b=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >=> since in thousands, company need to produce <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5000 ALIGN=MIDDLE  ALT=\"5000\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2000 ALIGN=MIDDLE  ALT=\"2000\"   DISABLED_style= \"max-width:90%; height:auto;\" > skateboards to break even\r<BR>\n" );
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document.write( " maximum profit occurs at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=%285%2B2%29%2F2=7%2F2=3.5 ALIGN=MIDDLE  ALT=\"b=%285%2B2%29%2F2=7%2F2=3.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >=> in thousands <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3500 ALIGN=MIDDLE  ALT=\"3500\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, foe Wheely Fast need to produce <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3500%29skateboards+to+maximize+profit%0D%0A%0D%0Awhat+will+be+the+maximum+profit%3A%0D%0A%0D%0A%7B%7B%7BP=+-2%28%28b-5%29%28b+-2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >............substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=3.5 ALIGN=MIDDLE  ALT=\"b=3.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=+-2%28%283.5-5%29%283.5+-2%29%29 ALIGN=MIDDLE  ALT=\"P=+-2%28%283.5-5%29%283.5+-2%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=P=+-2%28-1.5%29%281.5%29 ALIGN=MIDDLE  ALT=\"P=+-2%28-1.5%29%281.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=+-2%28-1.5%29%281.5%29 ALIGN=MIDDLE  ALT=\"P=+-2%28-1.5%29%281.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=+-2%28-2.25%29 ALIGN=MIDDLE  ALT=\"P=+-2%28-2.25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=+4.5 ALIGN=MIDDLE  ALT=\"P=+4.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >=> in hundred thousands of dollars will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=+450000 ALIGN=MIDDLE  ALT=\"P=+450000\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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