document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=225788>Question 225788</A>: <I><SPAN STYLE=\"word-break: break-all;\"> When respect brings success charges $600 for a seminar on management techniques, it attracts 1000 people. For each decrease of $20 in the charge, an additional 100 people will attend the seminar. Let (x) represent the number of $20 decreases in the charge.\r<BR>\n" );
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document.write( "A) Determine a revenue function (R) that will revenue generated as a function of the number of $20 decreases<BR>\n" );
document.write( "B) Find the value of (x) that maximizes the revenue. What should the company charge to maximize the revenue??<BR>\n" );
document.write( "C) What is the maximum revenue the company can generate?? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #582652 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10556)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=582652\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When respect brings success charges $600 for a seminar on management techniques, it attracts 1000 people. For each decrease of $20 in the charge, an additional 100 people will attend the seminar. Let (x) represent the number of $20 decreases in the charge.\r<BR>\n" );
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document.write( "A) Determine a revenue function (R) that will revenue generated as a function of the number of $20 decreases<BR>\n" );
document.write( "B) Find the value of (x) that maximizes the revenue. What should the company charge to maximize the revenue??<BR>\n" );
document.write( "C) What is the maximum revenue the company can generate??\r<BR>\n" );
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document.write( "A.<BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">Revenue function: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28R%28x%29+=+600000+%2B+40000x+-+2000x%5E2%29 ALIGN=MIDDLE  ALT=\"highlight_green%28R%28x%29+=+600000+%2B+40000x+-+2000x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, with R being the MAXIMUM REVENUE resulting\r\n" );
document.write( "from \"x\" number of $20 price reductions</PRE>\r<BR>\n" );
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document.write( "B.<BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">Value of \"x\" number of $20 price reductions that will MAXIMIZE REVENUE: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%2810%29 ALIGN=MIDDLE  ALT=\"highlight_green%2810%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, resulting in a\r\n" );
document.write( "price of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28%22%24%22400%29 ALIGN=MIDDLE  ALT=\"highlight_green%28%22%24%22400%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, reduced from $600 for each attendee.</PRE>\r<BR>\n" );
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document.write( "C.<BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">MAXIMUM REVENUE generated from ten (10) $20 price reductions, or from a reduced price of $400: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28%22%24%22800000%29 ALIGN=MIDDLE  ALT=\"highlight_green%28%22%24%22800000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ></PRE> </SPAN>\n" );
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