document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1164173>Question 1164173</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Assume it costs Microsoft $4,800 to manufacture 8 Xbox 360s and $9,360 to manufacture 16. Obtain the corresponding linear cost function.\r<BR>\n" );
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document.write( "What was the cost to manufacture each additional Xbox?<BR>\n" );
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document.write( "Use the cost function to estimate the cost of manufacturing 60 Xboxes.<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 #788490 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=788490\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> it cost 4800 to manufacture 8.<BR>\n" );
document.write( "it cost 9360 to manufacture 16.<BR>\n" );
document.write( "linear equation is y = mx + b.<BR>\n" );
document.write( "m is the slope.<BR>\n" );
document.write( "b is the y-intercept.<BR>\n" );
document.write( "let x = the number manufactured.<BR>\n" );
document.write( "let y = the cost.<BR>\n" );
document.write( "let(x,y) represent a point on the line.<BR>\n" );
document.write( "you have two points.<BR>\n" );
document.write( "they are (8,4800) and (16,9360)<BR>\n" );
document.write( "m = slope = (y2-y1) / (x2-x1)<BR>\n" );
document.write( "let (x1,y1) = (8,4800) and let (x2,y2) = (16,9360)<BR>\n" );
document.write( "slope = m = (y2-y1)/(x2-x1) = (9360-4800)/(16-8) = 4560/8 = 570<BR>\n" );
document.write( "equation becomes y = 570*x + b<BR>\n" );
document.write( "to find b, replace x and y with one of the points.<BR>\n" );
document.write( "i chose (8,4800)<BR>\n" );
document.write( "equation becomes 4800 = 570 * 8 + b<BR>\n" );
document.write( "subtract 570 * 8 from both sides of the equation and simplify to get 4800 - 4560 = b<BR>\n" );
document.write( "solve for b to get b = 240<BR>\n" );
document.write( "equation becomes y = 570 * x + 240<BR>\n" );
document.write( "answers to your questions are:<BR>\n" );
document.write( "equation is y = 570 * x + 240<BR>\n" );
document.write( "cost to manufacture each additional xbox is 570 (the slope of the equation)<BR>\n" );
document.write( "the cost to manufacture 60 xboxes is 570 * 60 + 240 = 34,440.<BR>\n" );
document.write( "all this can be seen on the graph which shows the key points of (0,240) which is the y-intercept, (8,4800), (9,9360) and (60,34440).\r<BR>\n" );
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