Plotting the points that make up the line constraints for a "feasible region"?

[pilotage]

Greetings. Is it possible to plot various "x,y" points and the respective lines between them and then shade the feasible region bounded by those constraints??

Max 5x1 + 7x2 <= 35
s.t. x1 <= 6
2x1 + 3x2 <= 19
x1 + x2 <= 8
x1, x2 >= 0

 

[oldbrewer]

are we talking 3 sides, 4 sides, 5 sides or more ?

 

[pilotage]

are we talking 3 sides, 4 sides, 5 sides or more ?

I am not sure I understand your question. Perhaps it's 4 sides and the Max formula is to identify if it falls within the feasible region.

 

[Rick Rothstein]

Greetings. Is it possible to plot various "x,y" points and the respective lines between them and then shade the feasible region bounded by those constraints??

Max 5x1 + 7x2 <= 35
s.t. x1 <= 6
2x1 + 3x2 <= 19
x1 + x2 <= 8
x1, x2 >= 0

I don't do charts, so I cannot help you with that part if it is your ultimate goal, but it almost sounds like you are interested in knowing if a given point falls within a shape formed by intersecting lines. If so, you could calculate the intersection points for your lines using straight algebra, form the necessary arrays and then use the code I posted in my mini-blog article here to see if any test point is located within that shape or not...
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Test Whether A Point Is In A Polygon Or Not

 

[oldbrewer]

another possibility is making cells 3 pixels by 3 pixels put the "corner ones on and by algebra determine if all other cells are within bounds and if so colour them