document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1154308>Question 1154308</A>: <I><SPAN STYLE=\"word-break: break-all;\"> John is analyzing the cost of producing two different sensors products at an electronics company.Sensor A uses 5 grams of zinc and requires 3 hours to assemble. The total production cost of sensor A is $54. Sensor B uses 4 zinc but requires 5 hours to assemble. The total production cost of sensor B is $64. How much does it cost the company for gram of this type of zinc? What is the hourly labour cost at this company? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #776742 by </B><A HREF=/tutors/aboutme.mpl?userid=ramkikk66><B>ramkikk66(644)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ramkikk66><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=776742\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let cost of zinc = x dollars per gram<BR>\n" );
document.write( "Let labour charge = y dollars per hour\r<BR>\n" );
document.write( "\n" );
document.write( "Sensor A uses 5 gm zinc, 3 hours, costing 54. So we get the equation\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x+%2B+3y+=+54 ALIGN=MIDDLE  ALT=\"5x+%2B+3y+=+54\"   DISABLED_style= \"max-width:90%; height:auto;\" > --- (1)\r<BR>\n" );
document.write( "\n" );
document.write( "Sensor B uses 4 gm zinc, 5 hours, costing 64. So we get the equation\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x+%2B+5y+=+64 ALIGN=MIDDLE  ALT=\"4x+%2B+5y+=+64\"   DISABLED_style= \"max-width:90%; height:auto;\" > --- (2)\r<BR>\n" );
document.write( "\n" );
document.write( "To solve the two equations:\r<BR>\n" );
document.write( "\n" );
document.write( "Multiply (1) by 4 to get\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20x+%2B+12y+=+216 ALIGN=MIDDLE  ALT=\"20x+%2B+12y+=+216\"   DISABLED_style= \"max-width:90%; height:auto;\" > --- (3)\r<BR>\n" );
document.write( "\n" );
document.write( "Multiply (2) by 5 to get\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20x+%2B+25y+=+320 ALIGN=MIDDLE  ALT=\"20x+%2B+25y+=+320\"   DISABLED_style= \"max-width:90%; height:auto;\" > --- (4)\r<BR>\n" );
document.write( "\n" );
document.write( "Subtracting (3) from (4) to eliminate x\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20x+-+20x+%2B+25y+-+12y+=+320+-+216 ALIGN=MIDDLE  ALT=\"20x+-+20x+%2B+25y+-+12y+=+320+-+216\"   DISABLED_style= \"max-width:90%; height:auto;\" > or\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13y+=+104 ALIGN=MIDDLE  ALT=\"13y+=+104\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+104%2F13+=+8 ALIGN=MIDDLE  ALT=\"y+=+104%2F13+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Substituting for y in (2) we get\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x+%2B+5%2A8+=+64 ALIGN=MIDDLE  ALT=\"4x+%2B+5%2A8+=+64\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x+=+64+-+40+=+24 ALIGN=MIDDLE  ALT=\"4x+=+64+-+40+=+24\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "i.e. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+6 ALIGN=MIDDLE  ALT=\"x+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Cost of zinc = $6 per gram<BR>\n" );
document.write( "Labour charge = $8 per hour\r<BR>\n" );
document.write( "\n" );
document.write( "Check<BR>\n" );
document.write( "Sensor A uses 5 gm zinc, 3 hours, cost is<BR>\n" );
document.write( "6 * 5 + 8 * 3 = 30 + 24 = 54. Check correct!\r<BR>\n" );
document.write( "\n" );
document.write( "Sensor B uses 4 gm zinc, 5 hours, cost is<BR>\n" );
document.write( "6 * 4 + 5 * 8 = 24 + 40 = 64. Double check!\r<BR>\n" );
document.write( "\n" );
document.write( "<b> Ans: zinc cost = $6, labour cost = $8 </b>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );