document.write( "Question 1196602: Solve the linear programming problem.
\n" ); document.write( " Minimize z=4x+5y and find the ordered pairs.\r
\n" ); document.write( "\n" ); document.write( "Subject to \r
\n" ); document.write( "\n" ); document.write( "2x+y Greater than and equal to 10\r
\n" ); document.write( "\n" ); document.write( "X+2y Greater than and equal to 8\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "X,Y Greater than and equal to 0
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #829510 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "Hi\r\n" );
document.write( "Minimize z=4x+5y\r\n" );
document.write( "Subject to\r\n" );
document.write( "2x+y >= 10\r\n" );
document.write( "X+2y >= 8\r\n" );
document.write( "minimum values of x & y,  with x,y > 0\r\n" );
document.write( "2x + y = 10\r\n" );
document.write( " x + 2y = 8\r\n" );
document.write( "\r\n" );
document.write( " 2x + y = 10\r\n" );
document.write( "-2x -4y =-16\r\n" );
document.write( "    -3y = -6\r\n" );
document.write( "      y = \"+green%282%29+\"  and x = 8 - 4 = \"green%284%29\"\r\n" );
document.write( "\r\n" );
document.write( "z=4x+5y minimized  P(4,2)\r\n" );
document.write( "z = 16 + 10 = 26, minimum value\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Wish You the Best in your Studies.\r\n" );
document.write( "

\n" ); document.write( "
\n" ); document.write( "
\n" );