document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=55056>Question 55056</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, the question I have is<BR>\n" );
document.write( "a manufacturer of tv dinners has monthly revenue of R= -q^2+25q<BR>\n" );
document.write( "R is revenue in hundreds of dollars when q dinners are produced.<BR>\n" );
document.write( "Cost function is C=4q+40 where C is also in hundreds of dollars.<BR>\n" );
document.write( "Manufacturer is limited to producing 2500 dinners per month.<BR>\n" );
document.write( "Solve the equations and use a graph to show how manufacturer can operate a profit.<BR>\n" );
document.write( "To solve the equations would I have 2500= (-q^2+25q) - (4q+40) since profit is cost-revenue.<BR>\n" );
document.write( "So then I have 2500= -q^2 + 25q -4q -40<BR>\n" );
document.write( "2500 = -q^2 + 21q -40<BR>\n" );
document.write( "2500+40 = -q^2 +21q<BR>\n" );
document.write( "2540 = -q^2 +21q<BR>\n" );
document.write( "equation to make profit would be -q^2 + 21q - 2540<BR>\n" );
document.write( "Then do i find points from this equation to graph it??<BR>\n" );
document.write( "I really have no idea and am working with a guess.<BR>\n" );
document.write( "Tahnks for any help you could possibly give me!!<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #37375 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=37375\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> R= -q^2+25q<BR>\n" );
document.write( "R is revenue in hundreds of dollars when q dinners are produced.<BR>\n" );
document.write( "Cost function is C=4q+40 where C is also in hundreds of dollars.<BR>\n" );
document.write( "Manufacturer is limited to producing 2500 dinners per month.<BR>\n" );
document.write( "Solve the equations and use a graph to show how manufacturer can operate a profit.<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "Profit = Revenue - Cost<BR>\n" );
document.write( "=(-q^2+25q)-(4q+40)<BR>\n" );
document.write( "=-q^+21q-40<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "To have a profit means -q^2+21q-40>0<BR>\n" );
document.write( "To find the solution set you might:<BR>\n" );
document.write( "1. graph the parabola or<BR>\n" );
document.write( "2. use the quadratic formula<BR>\n" );
document.write( "Using the graph method I get 2.11<x<18.88<BR>\n" );
document.write( "That is really not a reasonable answer considering<BR>\n" );
document.write( "you were told they can produce 2500 meals per month.<BR>\n" );
document.write( "But that's the way the math turns out on the problem<BR>\n" );
document.write( "as you have posted it.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );