document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1007192>Question 1007192</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The annual revenue R, in dollars, of a new company can be closely modeled by the logistic function<BR>\n" );
document.write( "R(t) = <BR>\n" );
document.write( "615,000/1 + 3.6e^&#8722;0.044t<BR>\n" );
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document.write( "where the natural number t is the time, in years, since the company was founded.<BR>\n" );
document.write( "(a) According to the model, what will be the company's annual revenue for its first year and its second year (t = 1 and t = 2) of operation? Round to the nearest $1000.<BR>\n" );
document.write( "R(1)	 = 	$  <BR>\n" );
document.write( "R(2)	 = 	$  \r<BR>\n" );
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document.write( "(b) According to the model, what will the company's annual revenue approach in the long-term future?<BR>\n" );
document.write( "$  <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #623171 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=623171\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You merely plug in the values 1 and 2 in for t in the formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%28t%29+=+615%2C000%2F%281+%2B+3.6%2Ae%5E%28%26%238722%3B0.044t%29%29 ALIGN=MIDDLE  ALT=\"R%28t%29+=+615%2C000%2F%281+%2B+3.6%2Ae%5E%28%26%238722%3B0.044t%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and get<BR>\n" );
document.write( "R(1) = 615,000/(1 + 3.6*e^(&#8722;0.044)) = $138,356.64<BR>\n" );
document.write( "R(2) = 615,000/(1 + 3.6*e^(&#8722;0.044*2)) = $143,131.80<BR>\n" );
document.write( "Then we look at what would happen to R(t) if t gets large...you can plug in 1000 for t to see that...<BR>\n" );
document.write( "R(1000) = 615,000/(1 + 3.6*e^(&#8722;0.044*1000)) = almost 615,000<BR>\n" );
document.write( "As you can see, the revenue approaches $615,000. </SPAN>\n" );
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