document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=462296>Question 462296</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could you please help with this problem?\r<BR>\n" );
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document.write( "The profit function for the <BR>\n" );
document.write( "recklus Hang gliding service is P(x) = -0.2x^2 +fx - m, where f represents the set up fee for a customer's daily excursion and m represents the monthly hanger rental. Also, P represents the monthly profit in dollars of the small business where x is the number of flight excursions facilitated in a month.<BR>\n" );
document.write( "A) if $30 is charged for a set up fee, and the monthly hanger rental is $600, write an equation for the profit, P, in terms of x.<BR>\n" );
document.write( "b) How much is the profit when 40 flight excursions are sold in a month?<BR>\n" );
document.write( "c) How many flight excursions must be sold in order to maximize the profit? Show the work algebraically.<BR>\n" );
document.write( "d) What is the 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 #316926 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=316926\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The profit function for the <BR>\n" );
document.write( "recklus Hang gliding service is P(x) = -0.2x^2 +fx - m, where f represents the set up fee for a customer's daily excursion and m represents the monthly hanger rental. Also, P represents the monthly profit in dollars of the small business where x is the number of flight excursions facilitated in a month.<BR>\n" );
document.write( "A) if $30 is charged for a set up fee, and the monthly hanger rental is $600, write an equation for the profit, P, in terms of x.<BR>\n" );
document.write( "b) How much is the profit when 40 flight excursions are sold in a month?<BR>\n" );
document.write( "c) How many flight excursions must be sold in order to maximize the profit? Show the work algebraically.<BR>\n" );
document.write( "d) What is the maximum profit.<BR>\n" );
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document.write( "A) P(x) = -0.2x^2 + 30x - 600<BR>\n" );
document.write( "B) P(40) = -0.2*40^2 + 30*40 - 600 = -320 + 1200 - 600 = $280<BR>\n" );
document.write( "C) To maximize profit, set dP(x)/dx = 0, solve for x:<BR>\n" );
document.write( "dP/dx = -0.4x + 30 = 0 -> x = -30/-0.4 = 75<BR>\n" );
document.write( "D) Maximum profit is P(75) = -0.2(75)^2 + 30(75) - 600 = $525 </SPAN>\n" );
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