document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=932498>Question 932498</A>: <I><SPAN STYLE=\"word-break: break-all;\"> PLEASE HELP DUE SOON<BR>\n" );
document.write( "emma sells used ipods. the average cost to package the ipods for shipment is given by the function C(x)=3x^2-120x+1300 where x is the number of ipods packaged per month<BR>\n" );
document.write( "A: find her cost if she packages 32 ipods this month.<BR>\n" );
document.write( "B: find the number of ipods she must package if she wants to minimize cost. (hint find the vertex) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #566162 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=566162\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We are given,<BR>\n" );
document.write( "C(x) = 3x^2 -120x +1300<BR>\n" );
document.write( "A) C(32) = (3*32^2) - (120*32) +1300 = 532<BR>\n" );
document.write( "B) Our cost equation is a parabola that opens upward, to find the number of ipods that min cost we must determine the x coordinate of the vertex.  The x coordinate of the vertex is given by the following formula<BR>\n" );
document.write( "x = -b / 2a = 120 / 6 = 20<BR>\n" );
document.write( "note that a = 3 and b = -120 from the quadratic cost formula<BR>\n" );
document.write( "Therefore the number of ipods is 20 which minimizes cost\r<BR>\n" );
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