SOLUTION: I really love how you all take the time to help us students. Thank you all once again. I sent in a graphing question but waiting on the answer, but have a similar one here as wel

You can put this solution on YOUR website!
graph these four feasible regions of the system: (a) x ≤ (1/2) y, x + y ≤ 1000, x ≥ 0, y ≥ 0
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You need to graph the boundaries of the inequalities which are
always EQUALITIES:
Graph:
For x<=(1/2)y, graph the boundary of y>=2x which is y=2x.
Shade the half-plane above the boundary line.
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For x+y<=1000, graph the boundary of y<=-x+1000 which is y=-x+1000
Shade the half-plane below the boundary line.
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For x>=0 shade the half-plane to the right of the boundary which is x=0.
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For y>=0, shade the half-plane above the boundary which is y=0.
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The graph is the intersection of all these shaded half-planes plus
the boundaries of this intersection.
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Cheers,
Stan H.