document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1125278>Question 1125278</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sophia owns a cheese factory. The amount of cheese, in kilograms, that she sells in one week, Q, is given by <BR>\n" );
document.write( "Q = 882 - 45p, where p is the price of a kilogram of cheese in euros (EUR). <BR>\n" );
document.write( "Sophia earns (p - 6.80) euros of profit for each kilogram of cheese sold. \r<BR>\n" );
document.write( "\n" );
document.write( "-What price should Sophia set for her cheese so that she earns a maximum profit?<BR>\n" );
document.write( "-What is her maximum profit? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #741568 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=741568\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Her total profit, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P+ ALIGN=MIDDLE  ALT=\"+P+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+Q%2A%28+p+-+6.8+%29+=+%28+882+-+45p+%29%2A%28+p+-+6.8+%29+ ALIGN=MIDDLE  ALT=\"+Q%2A%28+p+-+6.8+%29+=+%28+882+-+45p+%29%2A%28+p+-+6.8+%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+=+882p+-+45p%5E2+-+5997.6+%2B+306p+ ALIGN=MIDDLE  ALT=\"+P+=+882p+-+45p%5E2+-+5997.6+%2B+306p+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P+=+-45p%5E2+%2B+1188p+-+5997.6+ ALIGN=MIDDLE  ALT=\"+P+=+-45p%5E2+%2B+1188p+-+5997.6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "————————-<BR>\n" );
document.write( "The maximum p-value is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+p%5Bmax%5D+=+-b%2F%28+2a%29+ ALIGN=MIDDLE  ALT=\"+p%5Bmax%5D+=+-b%2F%28+2a%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+-45+ ALIGN=MIDDLE  ALT=\"+a+=+-45+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+1188+ ALIGN=MIDDLE  ALT=\"+b+=+1188+\"   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+=+-1188%2F%282%2A%28-45%29%29+ ALIGN=MIDDLE  ALT=\"+p%5Bmax%5D+=+-1188%2F%282%2A%28-45%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%5Bmax%5D+=+13.2+ ALIGN=MIDDLE  ALT=\"+p%5Bmax%5D+=+13.2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Maximum profit is at the price of 13.2 euros<BR>\n" );
document.write( "———————<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P%5Bmax%5D+=+-45%2A13.2%5E2+%2B+1188%2A13.2+-+5997.6+ ALIGN=MIDDLE  ALT=\"+P%5Bmax%5D+=+-45%2A13.2%5E2+%2B+1188%2A13.2+-+5997.6+\"   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+=+-7840.8+%2B+15681.6+-+5997.6+ ALIGN=MIDDLE  ALT=\"+P%5Bmax%5D+=+-7840.8+%2B+15681.6+-+5997.6+\"   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+=+17524.8+ ALIGN=MIDDLE  ALT=\"+P%5Bmax%5D+=+17524.8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "17,524.8 euros is the maximum profit<BR>\n" );
document.write( "————————<BR>\n" );
document.write( "Check the math & get 2nd opinion if needed\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );