document.write( "Question 1164636: A Manufacturer of microcomputers produces three different models as shown in Table 2. The following summarizes wholesale prices, material cost per unit, and labor cost per unit.Annual fixed cost are $25 million.
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\n" ); document.write( "\n" ); document.write( "i. Determine a joint revenue function for sales of the three different microcomputer models\r
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Algebra.Com's Answer #853535 by ikleyn(53618)\"\" \"About 
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\n" ); document.write( "A Manufacturer of microcomputers produces three different models as shown in Table 2.
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document.write( "                      Model 1  Model 2  Model 3\r\n" );
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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" );
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\n" ); document.write( "\n" ); document.write( "i. Determine a joint revenue function for sales of the three different microcomputer models
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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" );
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document.write( "     The joint revenue function is\r\n" );
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document.write( "        R(n1,n2,n3) = 500*n1 + 1000*n2 + 1500*n3.    ANSWER to (i)\r\n" );
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document.write( "     Part (i) is solved.\r\n" );
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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" );
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document.write( "      The annual cost function is\r\n" );
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document.write( "          C(n1,n2,n3) = 25000000 + (175+100)*n1 + (400+150)*n2 + (750+225)*n3.    \r\n" );
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document.write( "                      = 25000000 +  275*n1     +    550*n2    +     975*n3.      ANSWER to (ii)\r\n" );
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document.write( "      Part (ii) is solved.\r\n" );
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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" );
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document.write( "       The profit function is\r\n" );
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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" );
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document.write( "                                                   =   225*n1     +   450*n2      + 525*n3 - 25000000.    ANSWER to (iii)\r\n" );
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document.write( "       Part (iii) is solved.\r\n" );
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