document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1035424>Question 1035424</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A hospital’s revenue (in millions of dollars) is projected to be<BR>\n" );
document.write( "R(x) = 16x2 + 7x - 1<BR>\n" );
document.write( "and its costs (in millions of dollars) are projected to be<BR>\n" );
document.write( "C(x) = 12x2 + 12x + 14<BR>\n" );
document.write( "where x represents the number of years into the future.<BR>\n" );
document.write( "a. Create the profit function for the hospital.<BR>\n" );
document.write( "b. What is the average rate of change in the profit from year 3 to year 5? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #650120 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=650120\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a.  The profit function would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28x%29+=+R%28x%29+-+C%28x%29+=+4x%5E2-5x-15 ALIGN=MIDDLE  ALT=\"P%28x%29+=+R%28x%29+-+C%28x%29+=+4x%5E2-5x-15\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "b.The average rate of change in the profit from year 3 to year 5 is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28P%285%29+-+P%283%29%29%2F%285-3%29+=+%28P%285%29+-+P%283%29%29%2F2+=+54%2F2+=+27 ALIGN=MIDDLE  ALT=\"%28P%285%29+-+P%283%29%29%2F%285-3%29+=+%28P%285%29+-+P%283%29%29%2F2+=+54%2F2+=+27\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or $27,000,000 per year. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );