document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1172256>Question 1172256</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Rosalie runs a small catering business. She makes and sells homemade combos of two egg rolls, a<BR>\n" );
document.write( "small macaroni salad, and a drink. The revenue and cost functions of her business are given below.<BR>\n" );
document.write( "Revenue:\r<BR>\n" );
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document.write( "R(x)= -x2 + 24x<BR>\n" );
document.write( "Cost:12x + 28\r<BR>\n" );
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document.write( "a) Help Rosalie calculate the profit function of her business. (2 marks)<BR>\n" );
document.write( "b) Rosalie thinks that selling each combo for $ 7.00 will maximize her profit. Her brother Max believes<BR>\n" );
document.write( "that selling each one for $ 5.00 will maximize the profit and her sister Anna says that selling them for<BR>\n" );
document.write( "$ 6.00 each will maximize her profit. Who is correct? Show all your calculations. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #797218 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=797218\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Rosalie runs a small catering business.<BR>\n" );
document.write( " She makes and sells homemade combos of two egg rolls, a small macaroni salad, and a drink.<BR>\n" );
document.write( " The revenue and cost functions of her business are given below.<BR>\n" );
document.write( "Revenue:<BR>\n" );
document.write( "R(x)= -x^2 + 24x<BR>\n" );
document.write( "Cost: 12x + 28<BR>\n" );
document.write( ":<BR>\n" );
document.write( "a) Help Rosalie calculate the profit function of her business.<BR>\n" );
document.write( "Profit = Rev - Cost<BR>\n" );
document.write( "P(x) = -x^2 + 24x - (12x + 28)<BR>\n" );
document.write( "P(x) = -x^2 + 24x - 12x - 28 <BR>\n" );
document.write( "P(x) = -x^2 + 12x - 28, is the Profit function<BR>\n" );
document.write( ":<BR>\n" );
document.write( "b) Rosalie thinks that selling each combo for $ 7.00 will maximize her profit. Her brother Max believes<BR>\n" );
document.write( "that selling each one for $ 5.00 will maximize the profit and her sister Anna says that selling them for<BR>\n" );
document.write( "$ 6.00 each will maximize her profit. Who is correct? Show all your calculations.\r<BR>\n" );
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document.write( "The max profit will occur on the axis of symmetry. x = -b/(2a)<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-12%29%2F%282%2A-1%29 ALIGN=MIDDLE  ALT=\"%28-12%29%2F%282%2A-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 6 will maximize profits\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );