document.write( "Question 1192160: maximize P = 6x = 3y
\n" ); document.write( "subject to:
\n" ); document.write( "material 20x + 5y <= 600lbs.
\n" ); document.write( "machinery 25x + 20y <= 1000 hrs
\n" ); document.write( "labor 20x + 30y <= 1200hrs
\n" ); document.write( "x, y > 0 \n" ); document.write( "
Algebra.Com's Answer #824058 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
using the desmos.com calculator, you would graph the opposite of the constraint inequalities.
\n" ); document.write( "the feasible region is the unshaded portion of the graph.
\n" ); document.write( "evaluate the objective function at the corner points of the feasible region.
\n" ); document.write( "the corner point with the maximum profit is your solution.
\n" ); document.write( "if your maximum solution have fractions, then you would need to adjust so that they come out as integers.
\n" ); document.write( "your constraints must all be met at the maximum solution.
\n" ); document.write( "my graph is shown below:
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\n" ); document.write( "the maximum solution is at (x,y) = (25.455,18.182) = 207.276.
\n" ); document.write( "if the solution needs to be integer, then use (x,y) = (25,18).
\n" ); document.write( "maximum solution will then become 204.
\n" ); document.write( "all constraints will have been met.\r
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