document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=380630>Question 380630</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The total profit function P(x) for a company producing x thousand units is given by \r<BR>\n" );
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document.write( "P(x) = -3x2 + 60x - 225. \r<BR>\n" );
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document.write( "Find the values of x for which the company makes a profit </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #270201 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=270201\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> P(x) = -3x2 + 60x - 225.<BR>\n" );
document.write( "P(x) = -3[x^2-20x+75]<BR>\n" );
document.write( "P(x) = -3[x-15][x-5]<BR>\n" );
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document.write( "Find the values of x for which the company makes a profit<BR>\n" );
document.write( "Solve -3(x-15)(x-5) > 0<BR>\n" );
document.write( "Boundary values are x = 5 and x = 15<BR>\n" );
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document.write( "Find solution values for the inequality by checking values:<BR>\n" );
document.write( "Check x = 0,the P(x)=-225 : not an inequality solution<BR>\n" );
document.write( "Check x = 10 to get -3*-5*5> 0 solutions in 5< x < 10<BR>\n" );
document.write( "Check x = 20 to get -3*+5*+15<0 so no solutions in (15,+inf)<BR>\n" );
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document.write( "Ans: Profit for (5,15)<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-10%2C50%2C-100%2C100%2C-3x%5E2%2B60x-225%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C50%2C-100%2C100%2C-3x%5E2%2B60x-225%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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