maximising with dynamic parameters

Asked by econgrad about 7 hours ago

The function I have looks like this: ln(1+a*x1+b*x2). I need to maximise this with respect to x1 and x2 but for each choice of x1 and x2 the values of a and b would also change. For example if x1=1 and x2=2 then a=2 and b=3 , x1=2 and x2=2 then a=1 and b=4 and so on. Please suggest if this can be done and how it can be approached.

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