document.write( "Question 1166693: A chain saw requires 3 hours of assembly and a wood chipper 7 hours. A maximum of 42 hours of assembly time is available. The profit is $190 on a chain saw and $210 on a chipper. How many of each should be assembled for maximum​ profit? \n" ); document.write( "
Algebra.Com's Answer #791206 by ikleyn(52879)\"\" \"About 
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\n" ); document.write( "A chain saw requires 3 hours of assembly and a wood chipper 7 hours. A maximum of 42 hours of assembly time is available.
\n" ); document.write( "The profit is $190 on a chain saw and $210 on a chipper.
\n" ); document.write( "How many of each should be assembled for maximum​ profit?
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document.write( "Let x be the number of wood chippers.\r\n" );
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document.write( "Then the number of chain saws is  \"%2842-7x%29%2F3\".\r\n" );
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document.write( "The profit function is  P = \"210x+%2B+190%2A%2842-7x%29%2F3\".     (*)\r\n" );
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document.write( "Next, in order for do not spend my time for nothing, I create a Table in Excel with 3 column.\r\n" );
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document.write( "First column is   x = 0, 1, 2, 3,4, 5, 6, 7.\r\n" );
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document.write( "Second column is  \"%2842-7x%29%2F3\" to see when this number is integer.\r\n" );
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document.write( "The third column is the profit by formula (*).\r\n" );
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document.write( "       T       A       B       L       E\r\n" );
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document.write( "   x           \"%2842-7x%29%2F3\"          Profit P = \"210x+%2B+190%2A%2842-7x%29%2F3\"\r\n" );
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document.write( "--------------------------------------------------------------\r\n" );
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document.write( "   0            14                      2660\r\n" );
document.write( "   1		11.66666667		2426.666667\r\n" );
document.write( "   2		9.333333333		2193.333333\r\n" );
document.write( "   3		7			1960\r\n" );
document.write( "   4		4.666666667		1726.666667\r\n" );
document.write( "   5		2.333333333		1493.333333\r\n" );
document.write( "   6		0			1260\r\n" );
document.write( "   7		-2.333333333		1026.666667\r\n" );
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\n" ); document.write( "\n" ); document.write( "From the  Table,  you see the  ANSWER :   0 wood chippers  and  14 chain saws.\r
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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