document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=635604>Question 635604</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose the demand function for q thousand units of a certain commodity is given by P=30(3^-q/2)where p is the price per unit.\r<BR>\n" );
document.write( "\n" );
document.write( "a. at what price will the demand (q) equal 4000 units?\r<BR>\n" );
document.write( "\n" );
document.write( "(I keep getting a negative 8.90 Which i am sure is not correct because it is not suppose to be a negative) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #400421 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=400421\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose the demand function for q thousand units of a certain commodity is given by P=30(3^-q/2)where p is the price per unit.\r<BR>\n" );
document.write( "\n" );
document.write( "a. at what price will the demand (q) equal 4000 units?<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "P = 30*3^(-q/2) = 4000<BR>\n" );
document.write( "3^(-q/2) = 400/3<BR>\n" );
document.write( "(-q/2)*log(3) = log(400/3)<BR>\n" );
document.write( "(-q/2) = log(400/3)/log(3)<BR>\n" );
document.write( "q = -2*log(400/3)/log(3)<BR>\n" );
document.write( "q =~ -8.9<BR>\n" );
document.write( "============<BR>\n" );
document.write( "I would question the formula.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );