document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=357524>Question 357524</A>: <I><SPAN STYLE=\"word-break: break-all;\"> hello i submitted these questions and get answer but what i needed to know was HOW do we get the answers I want to see the work so i learn, so i am resubmitting hoping for this:<BR>\n" );
document.write( "I have been working on this all week and I just cannot get it. I know this is short notice but it is due with in the next 12 hours PLEASE HELP!<BR>\n" );
document.write( "A plasma TV company determines that its total profit on the production and sale of x TVs is given by:  P(x)= -x^2+812x-9600<BR>\n" );
document.write( "the question that i am stuck on are as follows, and i have to show the work:<BR>\n" );
document.write( "1. Find the solutions and explain what these solutions represent.<BR>\n" );
document.write( "2. How many TV&#65533;s must be produced to reach a minimum or maximum profit?<BR>\n" );
document.write( "3.What is this minimum or maximum profit?<BR>\n" );
document.write( "4.What is the vertex of this graph?  How is this point related to your answers from e and f?\r<BR>\n" );
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document.write( "I also have to graph this function.  Include solutions (roots), vertex, axis of symmetry, and labels for each.\r<BR>\n" );
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document.write( "Thanks in advance  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #255338 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=255338\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. find the roots by setting P(x) equal to zero ___ -x^2 + 812x - 9600 = 0<BR>\n" );
document.write( "___ dividing by -1 ___ x^2 - 812x + 9600 = 0<BR>\n" );
document.write( "___ factoring ___ (x - 12)(x - 800) = 0<BR>\n" );
document.write( "___ the roots are 12 and 800<BR>\n" );
document.write( "___ the lower number represents the break even point where the costs equal the sales<BR>\n" );
document.write( "___ the higher number probably represents market saturation (I do math, not finance)<BR>\n" );
document.write( "to much product for the market and the price declines (and/or sales drop), causing profits to fall\r<BR>\n" );
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document.write( "2. the min (or max, in this case) lies midway between the roots (their average)<BR>\n" );
document.write( "___ (800 + 12) / 2 = 406\r<BR>\n" );
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document.write( "3. plug 406 into the profit function ___ P(406) = -406^2 + 812(406) - 9600\r<BR>\n" );
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document.write( "4. the x-coordinate of the vertex is 406 , the y-coordinate is the answer from #3<BR>\n" );
document.write( "___ this represents the max profit and the number of sets needed to achieve it\r<BR>\n" );
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document.write( "the axis of symmetry passes through the vertex<BR>\n" );
document.write( "___ it is a vertical line whose equation is ___ x = 406\r<BR>\n" );
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document.write( "the parabola opens downward<BR>\n" );
document.write( "it passes through the roots and the vertex (which is the \"nose\" of the parabola)<BR>\n" );
document.write( "the axis of symmetry is the midline of the parabola </SPAN>\n" );
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