document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1183277>Question 1183277</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Pls help. The amount of money that a local charity earns by selling T-shirts at a mall<BR>\n" );
document.write( "depends on the price of each T-shirt. The monthly profit,y, in dollars is given by the quadratic equation y=-35x^2 + 1250x - 6500 where,x,represents the price of each T-shirt.<BR>\n" );
document.write( "a) Determine the roots of the equation<BR>\n" );
document.write( "b) Determine the vertex of the parabola. <BR>\n" );
document.write( "c) Draw a sketch of the relationship. Label the axes and the vertex<BR>\n" );
document.write( "d) Under what circumstances will the charity maximize its profit (make the most money)?<BR>\n" );
document.write( "e) Describe the significance of the roots in terms of the graph and in terms of the charity’s venture<BR>\n" );
document.write( "f) Determine the range of prices that the charity could consider, in order to<BR>\n" );
document.write( "make a monthly profit of at least $3000 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #813511 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39799)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=813511\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ---------------------------------------------------<BR>\n" );
document.write( " y=-35x^2 + 1250x - 6500 where,x,represents the price of each T-shirt.<BR>\n" );
document.write( "a) Determine the roots of the equation<BR>\n" );
document.write( "b) Determine the vertex of the parabola.<BR>\n" );
document.write( "c) Draw a sketch of the relationship. Label the axes and the vertex<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28a=-35%2Cb=1250%2Cc=-6500%29 ALIGN=MIDDLE  ALT=\"system%28a=-35%2Cb=1250%2Cc=-6500%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=y=ax%5E2%2Bbx%2Bc ALIGN=MIDDLE  ALT=\"y=ax%5E2%2Bbx%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=a%28x%2Bb%2F2a%29%5E2%2Bc-b%5E2%2F4a ALIGN=MIDDLE  ALT=\"y=a%28x%2Bb%2F2a%29%5E2%2Bc-b%5E2%2F4a\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "vertex  (-b/2a,c-b^2/(4a))\r<BR>\n" );
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document.write( ".\r<BR>\n" );
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document.write( ". </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );