document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1181229>Question 1181229</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Each month ZV Corp (Zebra Vehicles where all paint jobs are striped) makes 230 A vehicles which get 10mpg,500 B vehicles which get 20mpg,and 70 C vehicles which get 40mpg.  Unfortunately, the government sets a standard where companies must “average”30mpg[this is called a CAFElaw].  Any company that falls short of the 30mpg standard must pay a penalty.  The penalty is calculated as $55times number of vehicles sold each month times the deficit in their average mpg from the 30mpg standard.\r<BR>\n" );
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document.write( "Compute ZV Corp’s monthly penalty if the correct Harmonic Mean is used.<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 #850067 by </B><A HREF=/tutors/aboutme.mpl?userid=CPhill><B>CPhill(1959)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CPhill><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=CPhill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=850067\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here's how to calculate ZV Corp's new monthly penalty:\r<BR>\n" );
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document.write( "1. **Calculate the total miles driven by each vehicle type:**\r<BR>\n" );
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document.write( "*   A vehicles: 230 vehicles * 10 mpg = 2300 miles<BR>\n" );
document.write( "*   B vehicles: 500 vehicles * 20 mpg = 10000 miles<BR>\n" );
document.write( "*   C vehicles: 70 vehicles * 40 mpg = 2800 miles<BR>\n" );
document.write( "*   D vehicles: 2 vehicles * 75 mpg = 150 miles\r<BR>\n" );
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document.write( "2. **Calculate the total miles driven by all vehicles:**\r<BR>\n" );
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document.write( "Total miles = 2300 + 10000 + 2800 + 150 = 15250 miles\r<BR>\n" );
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document.write( "3. **Calculate the total number of vehicles:**\r<BR>\n" );
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document.write( "Total vehicles = 230 + 500 + 70 + 2 = 802 vehicles\r<BR>\n" );
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document.write( "4. **Calculate the company's average mpg:**\r<BR>\n" );
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document.write( "Average mpg = Total miles / Total vehicles<BR>\n" );
document.write( "Average mpg = 15250 / 802<BR>\n" );
document.write( "Average mpg ≈ 19.015 mpg\r<BR>\n" );
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document.write( "5. **Calculate the mpg deficit:**\r<BR>\n" );
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document.write( "Deficit = Standard mpg - Company average mpg<BR>\n" );
document.write( "Deficit = 30 mpg - 19.015 mpg<BR>\n" );
document.write( "Deficit ≈ 10.985 mpg\r<BR>\n" );
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document.write( "6. **Calculate the total penalty:**\r<BR>\n" );
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document.write( "Penalty = $55 * Total vehicles * Deficit<BR>\n" );
document.write( "Penalty = $55 * 802 * 10.985<BR>\n" );
document.write( "Penalty ≈ $485,355.70\r<BR>\n" );
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document.write( "Therefore, ZV Corp's new monthly penalty is approximately $\boxed{485,355.70}$.<BR>\n" );
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