document.write( "Question 1058101: Hi Tutors,\r
\n" ); document.write( "\n" ); document.write( "Are my answers correct? \r
\n" ); document.write( "\n" ); document.write( "Solve the linear programming programming by graphing and then determining which vertex minimizes the objective function G=4x+3y .\r
\n" ); document.write( "\n" ); document.write( "{5x+15y≥15
\n" ); document.write( "{5x+5y≥35
\n" ); document.write( "{x≥0
\n" ); document.write( "{y≥0
\n" ); document.write( "x = (0,7)
\n" ); document.write( "y = (7,0)
\n" ); document.write( "What is the minimum value? G=21 \n" ); document.write( "

Algebra.Com's Answer #673171 by ikleyn(52839) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "1.  Simplify your constrain equations:\r\n" );
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document.write( "    5x + 15y >= 15   is equivalent to  x + 3y >= 3;\r\n" );
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document.write( "    5x +  5y >= 35   is equivalent to  x +  y >= 7.\r\n" );
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document.write( "2.  Your plot is this:\r\n" );
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document.write( "Plots y =  and y = 7-x\r\n" );
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document.write( "3.  Your domain is the INFINITE domain in the quadrant QI restricted by the x- and y- axes and by the red straight line.\r\n" );
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document.write( "4.  Find the intercept points for this line.\r\n" );
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document.write( "5.  According to the linear programming method, you need to evaluate the objective function in these two intercept points.\r\n" );
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document.write( "    Then choose one of the two pints, where the objective function is minimal.\r\n" );
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document.write( "6.  This point will be your solution.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Having this plan/instruction, you can complete the assignment on your own.\r
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\n" ); document.write( "\n" ); document.write( "Good luck!\r
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