Re: Non-linear Programming - Plot3D

*To*: mathgroup at smc.vnet.net*Subject*: [mg110121] Re: Non-linear Programming - Plot3D*From*: Bob Hanlon <hanlonr at cox.net>*Date*: Wed, 2 Jun 2010 02:07:19 -0400 (EDT)

Minimize[{x^2 - y^2, x + y <= 12 , -5 <= x <= 10, -5 <= y <= 10}, {x, y}] {-100,{x->0,y->10}} Maximize[{x^2 - y^2, x + y <= 12 , -5 <= x <= 10, -5 <= y <= 10}, {x, y}] {100,{x->10,y->0}} Plot3D[x^2 - y^2, {x, -5, 12}, {y, -5, 12}, RegionFunction -> Function[{x, y, z}, x + y <= 12 && x <= 10 && y <= 10]] Bob Hanlon ---- Trevor Rabey <trevorATperfectproject.com.au at giganews.com> wrote: ============= I can use Plot3D to plot a surface z as a function of x and y, say z = x^2-y^2, abd the NLP problem is to max or min z on some region defined by a function or functions such as: x + y <= 12, x<=10, y <=10 I cannot seem to find a good way to plot the constraints, ie the extrusion of the region from the xy plane. Help, anyone? TIA. -- Trevor Rabey