ECON 2X03 Study Guide - Final Guide: Strategic Dominance, Subgame, Efficiency Wage

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Invert this for the function we usually plot at p bq = a p p = a-bq: this p is the maximum price a single seller can charge and sill sell the specified quantity, q. If the seller sets price higher than this computed p, quantity demanded will be less than the specified quantity. Goal is maximum profit: charge highest possible price: the seller will not sell the amount s/he wanted to sell. Pure monopoly: how do we determine the profit-maximizing activity level, profit is total revenue less total cost, total cost depends on the quantity produced and sold. Min c(cid:4666)k,l(cid:4667) = wk x k + wl x l s. t. Tr(cid:4666)q(cid:4667) =[p(cid:4666)q(cid:4667)]xq = [a-bq]xq =aq-bq(cid:884: total revenue is just (uniform) price times quantity, the function has positive values for all q between the edges of the bowl (at the edges of the bowl, total revenue is zero) 0 = p(q) = a-bq a = bq q = a/b.

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