document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=675543>Question 675543</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Chocolate Confections, Inc. has determined that when x chocolate cakes are made daily, the average cost per chocolate cake is given by C(x)=0.001x^2-0.14x+12.20\r<BR>\n" );
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document.write( "a) What is the average cost per cake if 30 chocolate cakes are made daily?\r<BR>\n" );
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document.write( "b) How many chocolate cakes should be made daily in order to minimize the average cost per cake? Show work </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #419931 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=419931\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Chocolate Confections, Inc. has determined that when x chocolate cakes are made daily, the average cost per chocolate cake is given by C(x)=0.001x^2-0.14x+12.20<BR>\n" );
document.write( "a) What is the average cost per cake if 30 chocolate cakes are made daily?<BR>\n" );
document.write( "set x to 30 and solve for C(x):<BR>\n" );
document.write( "C(x)=0.001x^2-0.14x+12.20<BR>\n" );
document.write( "C(30)=0.001(30)^2-0.14(30)+12.20<BR>\n" );
document.write( "C(30)=0.9-4.2+12.20<BR>\n" );
document.write( "C(30)=-3.3+12.20<BR>\n" );
document.write( "C(30)=$8.90<BR>\n" );
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document.write( "b) How many chocolate cakes should be made daily in order to minimize the average cost per cake? Show work<BR>\n" );
document.write( "The given equation:<BR>\n" );
document.write( "C(x)=0.001x^2-0.14x+12.20<BR>\n" );
document.write( "is a parabola that opens upwards, therefore the vertex is the minimum:<BR>\n" );
document.write( "x = -b/(2a)<BR>\n" );
document.write( "x = -(-0.14)/(2*0.001)<BR>\n" );
document.write( "x = 0.14/(0.002)<BR>\n" );
document.write( "x = 70  cakes<BR>\n" );
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