document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1023625>Question 1023625</A>: <I><SPAN STYLE=\"word-break: break-all;\"> . Donut Delights, Inc. has determined that when x donuts are made daily, the profit P, in dollars, is given by<BR>\n" );
document.write( "P(x) = –0.002 x2 + 4.1x – 1200<BR>\n" );
document.write( "(a) What is the company’s profit if 600 donuts are made daily?<BR>\n" );
document.write( "(b) How many donuts should be made daily in order to maximize the company’s profit? Show work. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #639127 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=639127\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Donut Delights, Inc. has determined that when x donuts are made daily, the profit P, in dollars, is given by<BR>\n" );
document.write( "P(x) = –0.002 x2 + 4.1x – 1200<BR>\n" );
document.write( ":<BR>\n" );
document.write( "(a) What is the company’s profit if 600 donuts are made daily?<BR>\n" );
document.write( "P(x) = –0.002 x^2 + 4.1x – 1200<BR>\n" );
document.write( "Replace x with 600 and find P(x)<BR>\n" );
document.write( "P(x) = -.002(600^2) + 4.1(600) - 1200<BR>\n" );
document.write( "P(x) = -.002(360000) + 2460 - 1200<BR>\n" );
document.write( "P(x) = -740 + 2460 - 1200<BR>\n" );
document.write( "P(x) = $540 profit when 600 donuts are made<BR>\n" );
document.write( ":<BR>\n" );
document.write( "(b) How many donuts should be made daily in order to maximize the company’s profit?<BR>\n" );
document.write( "The quadratic equation; y = –0.002 x^2 + 4.1x – 1200; find the axis of symmetry x = -b/(2a)<BR>\n" );
document.write( "a=-.002; b=4.1<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-4.1%29%2F%282%2A-.002%29 ALIGN=MIDDLE  ALT=\"%28-4.1%29%2F%282%2A-.002%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 1025 donuts will give max profit<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );