document.write( "Question 1114893: Maximize 3x + 2y
\n" ); document.write( "Subject to the constraints
\n" ); document.write( "5x + 3y <= 15
\n" ); document.write( "3x + 4y <= 12
\n" ); document.write( "x,y >= 0 \n" ); document.write( "
Algebra.Com's Answer #729809 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
using the desmos.com calcculator, graph the opposite of these inequalities.\r
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\n" ); document.write( "\n" ); document.write( "the area of the graph that is not shaded is your region of feasibility.\r
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\n" ); document.write( "\n" ); document.write( "your maximum value for 3x + 2y will be at one of corner points of your region of feasibility.\r
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\n" ); document.write( "\n" ); document.write( "the graph is shown below:\r
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\n" ); document.write( "\n" ); document.write( "at (0,3), 3x + 2y = 3*0 + 2*3 = 6
\n" ); document.write( "at (2.182,1.364) 3x + 2y = 3*2.182 + 2*1.364 = 9.274
\n" ); document.write( "at (3,0), 3x + 2y = 3*3 + 2*0 = 9\r
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\n" ); document.write( "\n" ); document.write( "your maximum solution is at (2.182,1.364).\r
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