document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1116904>Question 1116904</A>: <I><SPAN STYLE=\"word-break: break-all;\"> an economy is based on three sectors: real estate, energy, and manufacturing.  Production of 1 unit of real estate requires 0.2 units of real estate and 0.4 units of energy.  Production of 1 unit of energy requires 0.2 units of energy and 0.4 units of manufacturing.  Production of 1 unit of manufacturing requires 0.1 units of real estate, 0.1 units of energy, and 0.3 units of manufacturing.<BR>\n" );
document.write( "a) Set up the technology matrix (input-output matrix)<BR>\n" );
document.write( "b) What gross production is necessary to meet an external demand for 20 units of real estate, 10 units of energy, and 30 units of manufactoring? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #732005 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=732005\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the way i see this problem is as follows:\r<BR>\n" );
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document.write( "R = outside real estate<BR>\n" );
document.write( "r = inside real estate required.<BR>\n" );
document.write( "E = outside energy<BR>\n" );
document.write( "e = inside energy required.<BR>\n" );
document.write( "M = outside manufacturing<BR>\n" );
document.write( "m = inside manufacturing required.\r<BR>\n" );
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document.write( "you are given:\r<BR>\n" );
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document.write( "Production of 1 unit of real estate requires 0.2 units of real estate and 0.4 units of energy. Production of 1 unit of energy requires 0.2 units of energy and 0.4 units of manufacturing. Production of 1 unit of manufacturing requires 0.1 units of real estate, 0.1 units of energy, and 0.3 units of manufacturing.\r<BR>\n" );
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document.write( "from that, you get:\r<BR>\n" );
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document.write( "R = .2r + .4e<BR>\n" );
document.write( "E = .2e + .4m.<BR>\n" );
document.write( "M = .1r + .1e + .3m\r<BR>\n" );
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document.write( "you are asked:\r<BR>\n" );
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document.write( "a) Set up the technology matrix (input-output matrix)<BR>\n" );
document.write( "b) What gross production is necessary to meet an external demand for 20 units of real estate, 10 units of energy, and 30 units of manufactoring?\r<BR>\n" );
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document.write( "in order to make 20 units of R, you would require:\r<BR>\n" );
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document.write( "20 * (.2r + .4e) which is equal to 4r + 8e\r<BR>\n" );
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document.write( "in order to make 10 units of E, you would require:\r<BR>\n" );
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document.write( "10 * (.2e + .4m) = 2e + 4m\r<BR>\n" );
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document.write( "in order to make 30 units of M, you would require:\r<BR>\n" );
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document.write( "30 * (.1r + .1e + .3m) = 3r + 3e + 9m\r<BR>\n" );
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document.write( "these requirements are summarized below:\r<BR>\n" );
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document.write( "20R = 4r + 8e<BR>\n" );
document.write( "10E = 2e + 4m<BR>\n" );
document.write( "30M = 3r + 3e + 9m\r<BR>\n" );
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document.write( "the total resource required would be 7r + 13e + 13m\r<BR>\n" );
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document.write( "i don't see how this problem involves a matrix, so this may not be of help but what i did does provide an answer and does appear to be logically correct, at least from the way i'm looking at it.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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