Working with Cobb-Douglas

I wonder if you will be marking our final exam papers. If yes, I wonder if I can use the trick for Cobb Douglas type preferences/production technology, that we always get interior solutions, and that at the optimal solution the fraction of income spent on each good is determined by the exponent parameters. So that we do not have to do Kuhn Tucker.
I will be one of several people marking the final exams, but it doesn’t matter… you can definitely cite without justification the results on Cobb-Douglas that you mention.
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