document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1164719>Question 1164719</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A Manufacturer of microcomputers produces three different models as shown in Table 2. <BR>\n" );
document.write( "The following summarizes wholesale prices, material cost per unit, and labor cost per unit.<BR>\n" );
document.write( "Annual fixed cost are $25 million. \r<BR>\n" );
document.write( "\n" );
document.write( "	           <BR>\n" );
document.write( "	                       <BR>\n" );
document.write( "	                      Model 1   Model 2   Model 3\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Wholesale price/unit    	500	1000	$1500<BR>\n" );
document.write( "Material Cost / unit	        175	400	750<BR>\n" );
document.write( "Labor cost / unit	        100	150	225\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "i.	Determine a joint revenue function for sales of the three different microcomputer models\r<BR>\n" );
document.write( "\n" );
document.write( "ii.	Determine the annual costs function for the manufacturing the three models.\r<BR>\n" );
document.write( "\n" );
document.write( "iii.	Determine the profit function for sales of the three models?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #853528 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(53618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=853528\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "A Manufacturer of microcomputers produces three different models as shown in Table 2. <BR>\n" );
document.write( "The following summarizes wholesale prices, material cost per unit, and labor cost per unit. <BR>\n" );
document.write( "Annual fixed cost are $25 million.\r<BR>\n" );
document.write( "\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "                      Model 1  Model 2  Model 3\r\n" );
document.write( "\r\n" );
document.write( "Wholesale price/unit   $500     $1000    $1500\r\n" );
document.write( "Material Cost / unit   $175      $400     $750\r\n" );
document.write( "Labor cost / unit      $100      $150     $225\r\n" );
document.write( "</PRE>\r<BR>\n" );
document.write( "\n" );
document.write( "i. Determine a joint revenue function for sales of the three different microcomputer models<BR>\n" );
document.write( "ii. Determine the annual costs function for the manufacturing the three models.<BR>\n" );
document.write( "iii. Determine the profit function for sales of the three models?<BR>\n" );
document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The content of the post by @CPhill is outright nonsense of the undebugged computer code.<BR>\n" );
document.write( "It is irrelevant to the problem and to its adequate solution.<BR>\n" );
document.write( "So, simply ignore the post by @CPhill for the safety of your mind.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "See my correct solution below.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "(i)  The joint revenue function is the function of three arguments (n1,n2,n3), \r\n" );
document.write( "     where n1 is the number of units of Model 1, n2 is the number of units of Model 2, \r\n" );
document.write( "     and   n3 is the number of units of Model 3 produced per year.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     The joint revenue function is\r\n" );
document.write( "\r\n" );
document.write( "        R(n1,n2,n3) = 500*n1 + 1000*n2 + 1500*n3.    <U>ANSWER to (i)</U>\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     Part (i) is solved.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "(ii)  The annual cost function is the function of three arguments (n1,n2,n3), \r\n" );
document.write( "      where n1 is the number of units of Model 1, n2 is the number of units of Model 2, \r\n" );
document.write( "      and   n3 is the number of units of Model 3 produced per year.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "      The annual cost function is\r\n" );
document.write( "\r\n" );
document.write( "          C(n1,n2,n3) = 25000000 + (175+100)*n1 + (400+150)*n2 + (750+225)*n3.    \r\n" );
document.write( "\r\n" );
document.write( "                      = 25000000 +  275*n1     +    550*n2    +     975*n3.      <U>ANSWER to (ii)</U>\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "      Part (ii) is solved.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "(iii)  The profit function is the function of three arguments (n1,n2,n3), \r\n" );
document.write( "       where n1 is the number of units of Model 1, n2 is the number of units of Model 2, \r\n" );
document.write( "       and   n3 is the number of units of Model 3 produced per year.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "       The profit function is\r\n" );
document.write( "\r\n" );
document.write( "           P(n1,n2,n3) = R(n1,n2,n3) - C(n1,n2,n3) = (500-275)*n1 + (1000-550)*n2 + (1500-975)*n3 - 25000000.    \r\n" );
document.write( "\r\n" );
document.write( "                                                   =   225*n1     +   450*n2      + 525*n3 - 25000000.    <U>ANSWER to (iii)</U>\r\n" );
document.write( "\r\n" );
document.write( "       Part (iii) is solved.\r\n" );
document.write( "</PRE>\r<BR>\n" );
document.write( "\n" );
document.write( "Solved completely.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Regarding the post by @CPhill . . . \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Keep in mind that @CPhill is a pseudonym for some artificial intelligence computer code<BR>\n" );
document.write( "(!! some just very outdated version !! ).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The artificial intelligence in solving Math problems is in the experimental stage of development <BR>\n" );
document.write( "and it is far from to be a well-tuned.\r<BR>\n" );
document.write( "\n" );
document.write( "It can make mistakes and produce nonsense.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;It has no feeling of shame - it is shameless.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "This time, again, &nbsp;it made an error.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The @CPhill' solutions are copy-paste &nbsp;AI solutions (of its just old outdated version), &nbsp;but there is one essential difference.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Every time, normal &nbsp;AI &nbsp;makes a note at the end of its solutions that &nbsp;Google &nbsp;AI &nbsp;is experimental<BR>\n" );
document.write( "and can make errors/mistakes.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "All @CPhill' solutions are copy-paste of &nbsp;AI &nbsp;solutions, with one difference:<BR>\n" );
document.write( "@PChill never makes this notice and never says that his solutions are copy-past that of Google.<BR>\n" );
document.write( "So, &nbsp;he &nbsp;NEVER &nbsp;SAYS &nbsp;TRUTH.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Every time, &nbsp;@CPhill embarrassed to tell the truth.\r<BR>\n" );
document.write( "\n" );
document.write( "But I am not embarrassing to tell the truth, &nbsp;as it is my duty at this forum.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "And the last my comment.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "When you obtain such posts from @CPhill, &nbsp;remember, &nbsp;that &nbsp;NOBODY &nbsp;is responsible for their correctness, <BR>\n" );
document.write( "until the specialists and experts will check and confirm their correctness.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Without it, &nbsp;their reliability is &nbsp;ZERO and their creadability is &nbsp;ZERO, &nbsp;too.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );