document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=551242>Question 551242</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a semi-conductor manufacturer seeks to maximize it's pprofits. testing indicates that they can produce 100,000 chips per week at a cost of $40 a chip, and sell them for $65 a chip. they also find that they can produce 125,000 chips per week at a cost of $35 per chip and sell them for $63 a chip. how much profit can they expect to earn if they produce 130,000 chips per week? I have a really hard time with word problems and need some help.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #359725 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=359725\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a semi-conductor manufacturer seeks to maximize it's profits. testing indicates that they can produce 100,000 chips per week at a cost of $40 a chip, and sell them for $65 a chip. they also find that they can produce 125,000 chips per week at a cost of $35 per chip and sell them for $63 a chip. how much profit can they expect to earn if they produce 130,000 chips per week? <BR>\n" );
document.write( "Find the profits<BR>\n" );
document.write( "at 100,000: 65 - 40 = $25 per chip<BR>\n" );
document.write( "at 125,000: 63 - 35 = $28 per chip<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Assign the values as follows<BR>\n" );
document.write( "x1=100000; y1=25<BR>\n" );
document.write( "x2=125000; y2=28<BR>\n" );
document.write( "Find the slope<BR>\n" );
document.write( "m = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2828-25%29%2F%28125000-100000%29 ALIGN=MIDDLE  ALT=\"%2828-25%29%2F%28125000-100000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F25000 ALIGN=MIDDLE  ALT=\"3%2F25000\"   DISABLED_style= \"max-width:90%; height:auto;\" > = .00012<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find the equation using the point/slope formula; y - y1 = m(x - x1)<BR>\n" );
document.write( "y - 25 = .00012(x - 100000)<BR>\n" );
document.write( "y - 25 = .00012x - 12<BR>\n" );
document.write( "y = .00012x - 12 + 25<BR>\n" );
document.write( "y = .00012x + 13<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"how much profit can they expect to earn if they produce 130,000 chips per week?\"<BR>\n" );
document.write( "Replace x with 130000<BR>\n" );
document.write( "y = .00012(130000) + 13<BR>\n" );
document.write( "y = 15.6 + 13<BR>\n" );
document.write( "y = $28.60 profit when 130,000 chips are made<BR>\n" );
document.write( " </SPAN>\n" );
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