document.write( "Question 1194103: A charity worker is going to sell wigs, candles and hat clips to raise funds for their organization. The cost a wig for $10 and sell it at the price of $30, the cost of a candle is $ 4 and they sell them for $ 12 and the hat clips cost $ 10 and sell them for $24. They have the maximum budget to buy the stuff is $ 4000. the area of a table is 60\" long and 30\" wide. The area occupied by the wigs is 10square inch, the candle occupied 6square inch and the hat clips 2 square inch. How should the charity organize their stuff so they can get the maximum profit?
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Algebra.Com's Answer #826215 by ikleyn(52787) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "See the solution given by Edwin at this link\r
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\n" ); document.write( "\n" ); document.write( "https://www.algebra.com/algebra/homework/Linear-equations/Linear-equations.faq.question.1194100.html\r
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\n" ); document.write( "\n" ); document.write( " Below is the solution which uses free of charge online solver from the Internet for the simplex method.\r
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document.write( "Let x = # of wigs;  y = # of candles and z = # of the hat clips.\r\n" );
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document.write( "The problem is to maximize the profit function\r\n" );
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document.write( "    P(x, y, z) = 20x + 8y + 14z\r\n" );
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document.write( "under these restrictions\r\n" );
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document.write( "    10x + 4y + 10z <= 4000,\r\n" );
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document.write( "    10x + 6y +  2z <= 1800.\r\n" );
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document.write( "Now go to the site https://www.zweigmedia.com/RealWorld/simplex.html\r\n" );
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document.write( "and use free of charge solver there.\r\n" );
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document.write( "Input the profit function and the restrictions and press the \"Solve\" button.\r\n" );
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document.write( "It will solve this maximization problem using the \"simplex method\".\r\n" );
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document.write( "The solver produces this solution (this answer)\r\n" );
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document.write( "   x = 175 wigs;  y = 0 candles;  z = 275 hat clips;  p = $6350.    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "The input to the solver is shown/presented/documented below :\r
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document.write( "Maximize p = 20x + 8y + 14z subject to\r\n" );
document.write( "10x   +   4y   +  10z    <= 4000 \r\n" );
document.write( "10x   +   6y   +   2z    <= 1800\r\n" );
document.write( "x >= 0  \r\n" );
document.write( "y >= 0\r\n" );
document.write( "z >= 0\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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