Optimizing (max / min) of a function in terms of parameters given:

Hello,

I'm wondering if it is possible for MathCad to do an optimizing routine using max or min but with a given set of parameters. An example is one of the attached in where I use u(x) and g(x,r), where I want to allow for the input of r during the optimization. Additionally, would it be possible to graph the optimized set as a function as well in terms of a variable x & r. (for any given r, the maximum x is a set value as the rest of parameters are just scalar values, thus I would like to get the optimized value of x as a function of r) I'm assuming the opt x for a given r can be done via a vector output from a solve block routine as a function?