Hello, and apologies for the upcoming naive questions. I am a biologist who is 
trying to teach himself the appropriate areas of math and stats. I welcome 
pointers to suggested background reading just as much as I do direct answers to 
my question.

Let's say I have a function F() that takes variables (a,b,c,a1,b1,c1) and 
returns x, and I want to find the values of these variables that result in a 
minimum value of x. That's a straightforward application of optim(). However, 
for the same function I also need to obtain values that return the minimum 
value of x subject to the following constraints: a=a1, b=b1, c=c1, a=a1 && 
b=b1, a=a1 && c=c1, ... and so on, for any combination of these constraints 
including a=a1, b=b1, c=c1. The brute force way to do this with optim() would 
be to write into F() an immense switch statement anticipating every possible 
combination of constrained variables. Obviously this is inefficient and 
unmaintainable. Therefore, my question is:

Is the purpose of constrOptim() this exact type of problem? If so, how does one 
express the constraint I described above in terms of the ui, ci, and theta 
parameters? Are there any introductory texts I should have read for this to be 
obvious to me from constrOptim's documentation?

If constrOptim() is not the answer to this problem, can anybody suggest any 
more elegant alterntives to the switch-statement-from-hell approach?

Thank you very, very much in advance. I thought I understood R reasonably well 
until I started banging my head against this problem!

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