document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=123803>Question 123803</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The cost per hour of running an assembly line in a manufacturing plant is a function of the number of items produced per hour. The cost function is C(x)=0.3x^2-1.2x+2, where c(x) is the cost per hour in thousands of dollars, and x is the number of items produced per hour, in thousands. Determine the most economical production level.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #90815 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=90815\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The cost per hour of running an assembly line in a manufacturing plant is a function of the number of items produced per hour. The cost function is C(x)=0.3x^2-1.2x+2, where c(x) is the cost per hour in thousands of dollars, and x is the number of items produced per hour, in thousands. Determine the most economical production level. <BR>\n" );
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document.write( "Find the minimum of C(x)<BR>\n" );
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document.write( "Minimum occurs when x = -b/2a = 1.2/(2*0.3) = 2<BR>\n" );
document.write( "C(2) = 0.3(2)^2-1.2*2+2 = 0.80000<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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