document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=399778>Question 399778</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The formula y=0.4x2-36x+1000 models the number of accidents, y, per 100 millions miles driven, for drivers x years old, where 20 < x< 50.Find the coordinates of the graph’s vertex and describe what this represent in practical terms.  \r<BR>\n" );
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document.write( "·        A company uses the function C(x)=0.01x2-1.2x+1000  to model the unit cost in dollars for producing x motors. Answer the following question; 1: For what number of motors is the unit cost at its minimum? 2: What happens if you produce 1 motor more or 1 motor less what the number of motors found in the first part of the problem. Discuss the effect of this change with your learning team.\r<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 #283061 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=283061\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  The formula y=0.4x^2-36x+1000 models the number of accidents, y, per 100 millions miles driven, for drivers x years old, where 20 < x< 50.<BR>\n" );
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document.write( "Find the coordinates of the graph’s vertex and describe what this represent in practical terms.<BR>\n" );
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document.write( "The vertex occurs where x = -b/(2a) = 36/(2*0.4) = 45<BR>\n" );
document.write( "and f(45) = 0.4(45)^2-36(45)+1000 = 190<BR>\n" );
document.write( "Vertex:(45,190) means 190 accidents per 100 million miles of driving<BR>\n" );
document.write( "for drivers 45 years old.<BR>\n" );
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document.write( "A company uses the function C(x)=0.01x^2-1.2x+1000 to model the unit cost in dollars for producing x motors. Answer the following question; <BR>\n" );
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document.write( "1: For what number of motors is the unit cost at its minimum? <BR>\n" );
document.write( "Minimum when x = -b/(2a) = 1.2/(2(0.01)) = 1.2/0.02 = 60<BR>\n" );
document.write( "C(60) = 0.01(60)^2-1.2(60)+1000 = 964<BR>\n" );
document.write( "Ans: # of motors = 60<BR>\n" );
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document.write( "2: What happens if you produce 1 motor more or 1 motor less what the number of motors found in the first part of the problem.<BR>\n" );
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document.write( "Ans: Find C(59) = 964.01 and C(61) = 964.01\r<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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