How do I combine Solve and Maximize?

*To*: mathgroup at smc.vnet.net*Subject*: [mg65740] How do I combine Solve and Maximize?*From*: "Friskin, David \(Mr\) \(Summerstrand Campus South\)" <David.Friskin at nmmu.ac.za>*Date*: Sun, 16 Apr 2006 03:49:19 -0400 (EDT)*Sender*: owner-wri-mathgroup at wolfram.com

[This post has been delayed due to email problems - moderator] I have an objective function with two input variables. I have created a function that maximizes the objective function with respect to one of the input variables. I would like to use Solve[] on this new function, but I am having trouble doing this. The following is a simple example of my problem: f[x_,y_]:= -(x-10)^2-(y-10)^2+100 (* Objective Function *) f1[x_]:= Maximize[{f[x,y],y>0},{y}][[1]] (* Value of Objective Function maximized over all y values, at a specific x value *) Solve[{f1[x]=A980,x>0},{x}] (* What values of x causes f1==80 *) This command produces a number of errors. Can anyone tell me where my error is? Thanks David NOTICE: Please note that this eMail, and the contents thereof, is subject to the standard NMMU eMail disclaimer which may be found at: <http://www.nmmu.ac.za/disclaimer/email.htm>>