| Author |
Comment/Response |
McLaine
|
 08/25/09 09:49am
Hello,
I've currently got a problem that drives me crazy.
My starting point is that I want to visualize three conditions for the variables w1,w2,w3. These are:
1. w3 <= -20/3 + 10/3 * w1 - w2
2. w3 <= -40/3 - w1 + 10/3 * w2
3. w3 >= 6 + 0.3 w1 + 0.3 w2
I'm looking for a way to plot the object that results when simultaneously considering all of these conditions.
I started with defining each condition as an equation. Then, I plotted each resulting plane separately and all at once.
The source code looks like this:
L1 := -(20/3) + (10/3)*w1 - w2
L2 := -(40/3) - w1 + (10/3)*w2
L3 := 6 + 0.3 w1 + 0.3 w2
Plot3D[L1, {w1, 0, 10}, {w2, 0, 14}]
Plot3D[L2, {w1, 0, 10}, {w2, 0, 14}]
Plot3D[L3, {w1, 0, 10}, {w2, 0, 14}]
Plot3D[{L1,L2,L3}, {w1, 0, 10}, {w2, 0, 14}]
I attached the last figure below.
My problem is that this plot is not what I am looking for :-)
The object I want to be plotted is only indirectly defined by the three planes. It consists of the points below the horizontal plane (condition 3) and above the other two (conditions 1 and 2).
Is there any way to visualize this object more directly?
Thanks.
Attachment: grafik.JPG, URL: , |
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