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Exercise 7. A monopolist faces inverse demand p(y) and cost c(y) with c> 0 and c 2 0. Demonstrate that the monopolist sets
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MR PC) + 1 It demamd imelastie, then o Ed- . Ed Since -1 Ed negatine f demand MR uile be Henee paie lastcity of amd - e betse

MR PC) + 1 It demamd imelastie, then o Ed- . Ed Since -1 Ed negatine f demand MR uile be Henee paie lastcity of amd - e betse

However, if the monopolist operates on elastic part of demand curve then ed> -1. Hence, 0> (1/ed) > -1 which means that (1+ (1/ed) ) >0. Hence MR will be positive and the monopolist can solve for her profit maximizing output level.

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