document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=275517>Question 275517</A>: <I><SPAN STYLE=\"word-break: break-all;\"> COST ANALYSIS - A plant can manufacture 80 golf clubs per day far a daily cost of $8147 and 100 golf clubs per day for a total daily cost of $9647.\r<BR>\n" );
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document.write( "A) Assuming that daily cost and production are linearly related, find the total daily cost of producing X golf clubs.\r<BR>\n" );
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document.write( "B) Interpret the slpe of this cost equation.\r<BR>\n" );
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document.write( "C) What is the effect of a 1 unit increase in production? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #200949 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=200949\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> they can manufacture 80 golf clubs per day at a cost of 8147.<BR>\n" );
document.write( "they can manufacture 100 golf clubs per day at a cost of 9647\r<BR>\n" );
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document.write( "let x = number of golf clubs manufactured per day.<BR>\n" );
document.write( "let y = total cost for manufacturing x golf clubs.\r<BR>\n" );
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document.write( "x1,y1 = 80,8147<BR>\n" );
document.write( "x2,y2 = 100,9647\r<BR>\n" );
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document.write( "y2-y1 = 9647 - 8147 = 1500\r<BR>\n" );
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document.write( "x2-x1 = 100-80 = 20\r<BR>\n" );
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document.write( "slope intercept form of equation for straight line is y = mx + b where m is the slope and b is the y intercept.\r<BR>\n" );
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document.write( "slope = y2-y1 / x2-x1 = 1500/20 = 75\r<BR>\n" );
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document.write( "equation becomes y = 75*x + b\r<BR>\n" );
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document.write( "take one of the point pairs and solve for b.\r<BR>\n" );
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document.write( "use 100,9647\r<BR>\n" );
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document.write( "equation becomes:\r<BR>\n" );
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document.write( "9647 = 75*100 + b\r<BR>\n" );
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document.write( "solve for b to get b = 9647 - (75*100) = 2147\r<BR>\n" );
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document.write( "equation becomes:\r<BR>\n" );
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document.write( "y = 75*x + 2147\r<BR>\n" );
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document.write( "graph of the equation looks like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph+%28600%2C600%2C-20%2C180%2C-5000%2C15000%2C75%2Ax%2B2147%2C9647%2C8147%29 ALIGN=MIDDLE  ALT=\"graph+%28600%2C600%2C-20%2C180%2C-5000%2C15000%2C75%2Ax%2B2147%2C9647%2C8147%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I inserted horizontal lines at y = 8147 and y = 9647.\r<BR>\n" );
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document.write( "trace a vertical line from the intersection of those lines with the graph of the equation (slanted line) and you will see that this happens at x = 80 and x = 100 respectively.\r<BR>\n" );
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document.write( "answers to the questions are:\r<BR>\n" );
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document.write( "A) Assuming that daily cost and production are linearly related, find the total daily cost of producing X golf clubs.\r<BR>\n" );
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document.write( "Equation is y = 75*x + 2147\r<BR>\n" );
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document.write( "B) Interpret the slope of this cost equation.\r<BR>\n" );
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document.write( "Slope is 75.\r<BR>\n" );
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document.write( "C) What is the effect of a 1 unit increase in production?\r<BR>\n" );
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document.write( "When x goes up by 1, y goes up by 75.\r<BR>\n" );
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document.write( "assume x = 100, then y = 75*100 + 2147 = 9647\r<BR>\n" );
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document.write( "assume x = 101, then y = 75*101 + 2147 = 9722\r<BR>\n" );
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document.write( "9722 - 9647 = 75\r<BR>\n" );
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document.write( " </SPAN>\n" );
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