document.write( "Question 1058344: Lumber Company can convert logs into either Lumber or plywood. In a given week the mill can turn out 400 units of production, of which 100 units of lumber and 150 units of plywood are required by regular customers. The profit on a unit of lumber is $20 and on a unit of plywood is $30. How many units of each type should the mill produce in order to maximize profit. \n" ); document.write( "

Algebra.Com's Answer #673605 by ikleyn(52805) $\"\"$ $\"About$

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\n" ); document.write( "Lumber Company can convert logs into either Lumber or plywood. In a given week the mill can turn out 400 units of production,
\n" ); document.write( "of which 100 units of lumber and 150 units of plywood are required by regular customers. The profit on a unit of lumber is $20 and
\n" ); document.write( "on a unit of plywood is $30. How many units of each type should the mill produce in order to maximize profit.
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document.write( "As I understand this LINEAR PROGRAMMING problem, there are two obvious restrictions:\r\n" );
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document.write( "x >= 100  and  y >= 150,\r\n" );
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document.write( "where x is the (unknown) number of units of lumber and y is the unknown number of units of plywood.\r\n" );
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document.write( "The next restriction is \r\n" );
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document.write( "x + y <= 400 - (100+150),   or   x + y <= 150.\r\n" );
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document.write( "The objective function is z = 20x + 30y, which you must maximize.\r\n" );
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document.write( "The setup is done. \r\n" );
document.write( "The rest is just arithmetic, if you know what the LINEAR PROGRAMMING METHOD is.\r\n" );
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\n" ); document.write( "\n" ); document.write( "You can look into this link\r
\n" ); document.write( "\n" ); document.write( "https://www.algebra.com/algebra/homework/Linear-equations/Linear-equations.faq.question.1058105.html\r
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\n" ); document.write( "\n" ); document.write( "https://www.algebra.com/algebra/homework/Linear-equations/Linear-equations.faq.question.1058105.html\r
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\n" ); document.write( "\n" ); document.write( "I solved there another problem, but you can still understand the idea of the LINEAR PROGRAMMING METHOD from there,
\n" ); document.write( "or refresh your knowledge.\r
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\n" ); document.write( "\n" ); document.write( "Good luck !\r
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