Question: How to draw it?

I want to draw the set of points that satisfies the following sets of inequalities: x+y>=50; #(1) x+z>=50; # (2) y+z>=50; # (3) subject to x+y+z=100; I tried: >with(plots): >implicitplot3d( {x+y+z=100, x+y>=50,x+z>=50,y+z>=50}, x=0..120, >y=0..110, z=0..115, axes=normal); 1. How could I do to see exactly the required set in a different colour? It would be possible to give different colours to each constraint (1-> yellow, 2->blue, 3 ->red)? 2. It would be possible to avoid the three dimension space and to represent everything on the plane x+y+z=100 (that is, to represent the inequalities 1, 2 and 3 only on this plane)?. Thanks in advance! JJacques
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