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4. Recall that the profit function is given by: *(p) = max N vi(p)er - "(P)p; (a) Use the envelope theorem to show that if we are given a profit function s(p), we can back out the input demand functions as: On (P) yi(P) = opi (b) A common notation is to use a's and w's to denote inputs and their prices and to use y's and p's to denote outputs and output prices. Consider the single input (r) and single output (y) technology described by: 0 I