document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=154220>Question 154220</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A company determines that its total cost is given by the function\r<BR>\n" );
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document.write( " C(x) = 2.5x^2 - 125x + 10,000 where  x  is the number of units produced and  C(x) is in dollars.\r<BR>\n" );
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document.write( "A. How many units mut be produced to minimize cost?\r<BR>\n" );
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document.write( "B. What is the minimum cost?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #113533 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=113533\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A company determines that its total cost is given by the function<BR>\n" );
document.write( "C(x) = 2.5x^2 - 125x + 10,000 where x is the number of units produced and C(x) is in dollars.<BR>\n" );
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document.write( "A. How many units must be produced to minimize cost?<BR>\n" );
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document.write( "In a quadratic equation, we can find the axis of symmetry to find at what value of x, c is minimum:   <BR>\n" );
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document.write( "Axis of symmetry: x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-b%2F%282a%29 ALIGN=MIDDLE  ALT=\"-b%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "In this equation a=2.5; b+ -125<BR>\n" );
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document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-%28-125%29%29%2F%282%2A2.5%29 ALIGN=MIDDLE  ALT=\"%28-%28-125%29%29%2F%282%2A2.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=125%2F5 ALIGN=MIDDLE  ALT=\"125%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 25 units will give minimum cost<BR>\n" );
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document.write( "B. What is the minimum cost?<BR>\n" );
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document.write( "Find min cost by substituting 25 for x in the given equation:<BR>\n" );
document.write( "C(x) = 2.5(25^2) - 125(25) + 10000<BR>\n" );
document.write( "C(x) = 2.5(625) - 3125 + 10000<BR>\n" );
document.write( "C(x) = 1562.5 - 3125 + 10000<BR>\n" );
document.write( "C(x) = $8437.50 is the minimum cost </SPAN>\n" );
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