document.write( "Question 1040255: x>0
\n" ); document.write( "y>0.
\n" ); document.write( "3x+2y>18
\n" ); document.write( "6x+7y<42
\n" ); document.write( "What is the value of 3x+3y
\n" ); document.write( "Thank you \n" ); document.write( "

Algebra.Com's Answer #655163 by ikleyn(52788) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "x>0
\n" ); document.write( "y>0.
\n" ); document.write( "3x+2y>18
\n" ); document.write( "6x+7y<42
\n" ); document.write( "What is the value of 3x+3y
\n" ); document.write( "Thank you
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\n" ); document.write( "\n" ); document.write( "y = $\"%2818-3x%29%2F2\"$ is red line; y = $\"%2842-6x%29%2F7\"$ is the green line.\r
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The set  {x>0 , y>0} is the first quadrant.\r\n" );
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document.write( "{3x + 2y > 18}    is the domain above the red line.\r\n" );
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document.write( "{6x + 7y < 42}    is the domain below the green line.\r\n" );
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document.write( "So, the intersection is this obtuse tiangle in the first quadrant adjacent to the x-axis.\r\n" );
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document.write( "I do not see much sense in the question of the problem.\r\n" );
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document.write( "You can estimate the range of this linear function z = 3x + 3y by evaluating its values in the vertices of the triangle.\r\n" );
document.write( "(Then is it typical problem of the linear programming).\r\n" );
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document.write( "May be other tutors have some ideas?\r\n" );
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