document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1112312>Question 1112312</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Good evening, i need home help. it is due today. thanks!\r<BR>\n" );
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document.write( "Callaway Golf Company has determined that the cost, C, of manufacturing x golf clubs may be expressed by the quadractic function: C(x)=4.9x^2-617.4x+19600\r<BR>\n" );
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document.write( "a) how many clubs should be manufactured to minimize the cost\r<BR>\n" );
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document.write( "b) at this level of production, what is the cost? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #727358 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=727358\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A quadratic function can be written in the form<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=ax%5E2%2Bbx%2Bc ALIGN=MIDDLE  ALT=\"f%28x%29=ax%5E2%2Bbx%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "with constants <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c ALIGN=MIDDLE  ALT=\"c\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%3E0 ALIGN=MIDDLE  ALT=\"a%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "and has a minimum at <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-b%29%2Fa ALIGN=MIDDLE  ALT=\"x=%28-b%29%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "In the case of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%28x%29=4.9x%5E2-617.4x%2B19600 ALIGN=MIDDLE  ALT=\"C%28x%29=4.9x%5E2-617.4x%2B19600\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=4.9 ALIGN=MIDDLE  ALT=\"a=4.9\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=-617.4 ALIGN=MIDDLE  ALT=\"b=-617.4\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=19600 ALIGN=MIDDLE  ALT=\"c=19600\"   DISABLED_style= \"max-width:90%; height:auto;\" > ;<BR>\n" );
document.write( "the minimum occurs at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=617.4%2F%282%2A4.9%29=617.4%2F9.8=highlight%2863%29 ALIGN=MIDDLE  ALT=\"x=617.4%2F%282%2A4.9%29=617.4%2F9.8=highlight%2863%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "and at that point the value of the function is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%2863%29=4.9%2A63%5E2-617.4%2A63%2B19600=4.9%2A3969-38896.2%2B19600=19448.1-38896.2%2B19600=highlight%28151.9%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( " <BR>\n" );
document.write( "So, the minimum of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%28x%29 ALIGN=MIDDLE  ALT=\"C%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > occurs at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=63%29 ALIGN=MIDDLE  ALT=\"highlight%28x=63%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28C%2863%29=151.9%29 ALIGN=MIDDLE  ALT=\"highlight%28C%2863%29=151.9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( " <BR>\n" );
document.write( "In reality, it does not make sense for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%28x%29=4.9x%5E2-617.4x%2B19600 ALIGN=MIDDLE  ALT=\"C%28x%29=4.9x%5E2-617.4x%2B19600\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "to be the total cost of manufacturing <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > golf clubs.<BR>\n" );
document.write( "It seems more believable that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%28x%29=4.9x%5E2-617.4x%2B19600 ALIGN=MIDDLE  ALT=\"C%28x%29=4.9x%5E2-617.4x%2B19600\"   DISABLED_style= \"max-width:90%; height:auto;\" > could be the cost per club to manufacture <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > golf clubs. </SPAN>\n" );
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