Butch (Stinky) Rose's counterfeit Chanel No. 22.5 racket has run into difficulties: It seems that the authentic Chanel No. 22.5 perfume is selling for less than his counterfeit perfume. However, he has managed to reduce his fixed costs to zero, and his overall costs are now $200 per gram plus $50 per gram transportation costs and commission. (The perfume's smell is easily detected by specially trained Chanel Hounds, and this necessitates elaborate packaging measures.) He therefore decides to sell the perfume for $230 per gram to undercut the competition. Specify Stinky's profit function, P(x), where x is the quantity (in grams) of perfume he buys and sells.

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