document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=238346>Question 238346</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i'm doing optimization problems in class and i have no clue where to even start with these problems...thanks\r<BR>\n" );
document.write( "\n" );
document.write( "A computer company determines the profit equation (in millions of dollars) is given by P=x^3-48x^2+720x-1000, where x is the number of thousands of units of software sold and x is greater than or equal to 0 and less than or equal to 40 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #175148 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=175148\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A computer company determines the profit equation (in millions of dollars) is given by P=x^3-48x^2+720x-1000, where x is the number of thousands of units of software sold and x is greater than or equal to 0 and less than or equal to 40<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "You could graph it and see where the high and the low points are in that interval.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-10%2C50%2C-1400%2C5000%2Cx%5E3-48x%5E2%2B720x-1000%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C50%2C-1400%2C5000%2Cx%5E3-48x%5E2%2B720x-1000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "Or, if you are studying calculus you could take the 1st derivative,<BR>\n" );
document.write( "and the 2nd derivative and determine the local and absolute max/min<BR>\n" );
document.write( "values on [0,40]<BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );