document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=617036>Question 617036</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help!!<BR>\n" );
document.write( "I have been working on this and can't get an answer.<BR>\n" );
document.write( "\"A model of the daily profits \"p\"of a gas station based on the price per gallon \"g\" is:    p=-15000g^2 + 34500g-16800.  Use the discriminant to find if the station can profit $4000 per day.  Explain\"\r<BR>\n" );
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document.write( "Thanks so much for the help!!<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #388126 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=388126\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"A model of the daily profits \"p\"of a gas station based on the price per gallon \"g\" is:    p=-15000g^2 + 34500g-16800.  Use the discriminant to find if the station can profit $4000 per day.  Explain\"<BR>\n" );
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document.write( "p=-15000g^2 + 34500g-16800<BR>\n" );
document.write( "Disc = b^2 - 4ac = 34500^2 - 4*15000*16800<BR>\n" );
document.write( "Disc = 182250000<BR>\n" );
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document.write( "The discriminant is +, meaning there are 2 values of g that give p=0, or break even.<BR>\n" );
document.write( "The Disc doesn't directly answer the question.<BR>\n" );
document.write( "\"Use the discriminant\" makes no sense.<BR>\n" );
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document.write( "Find the max of the function.<BR>\n" );
document.write( "It's a parabola, so the max is at the vertex<BR>\n" );
document.write( "The vertex is on the LOS, the Line of Symmetry, or Axis of Symmetry<BR>\n" );
document.write( "The eqn of the LOS is g = -b/2a = -34500/2*-15000<BR>\n" );
document.write( "LOS is g = 1.15<BR>\n" );
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document.write( "Find p at g = 1.15<BR>\n" );
document.write( "p = -15000*1.15^2 + 34500*1.15 - 16800<BR>\n" );
document.write( "p = $3037.50<BR>\n" );
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document.write( "That's the max profit per day using that function. </SPAN>\n" );
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