document.write( "Question 1198988: Solve the linear programming programing by graphing and then determining which vertex maximizes the objective function M=3x+4y\r
\n" ); document.write( "\n" ); document.write( "5x+y≤25
\n" ); document.write( "2x+3y≤36
\n" ); document.write( "x≥0
\n" ); document.write( "y≥0\r
\n" ); document.write( "\n" ); document.write( "x =\r
\n" ); document.write( "\n" ); document.write( "y =\r
\n" ); document.write( "\n" ); document.write( "What is the maximum value? M= \n" ); document.write( "
Algebra.Com's Answer #832662 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
using he desmos.com calculator, graph the opposite of the inequalities.
\n" ); document.write( "the area of the graph that is not shaded is the region of feasibility.
\n" ); document.write( "the corner points of that region are where the maximum value of M = 3x + 4y will be located.
\n" ); document.write( "evaluate that equation at each of the corner points.
\n" ); document.write( "you will find that the maximum value of M is at the point (3,10).
\n" ); document.write( "at that point, the value of M is equal to 49.
\n" ); document.write( "this is what the graph looks like.\r
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