Qconsider the following market for a single good x with two

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Q. Consider ?the ?following ?market ?for ?a ?single ?good ?X ?with? two? firms ?that compete ?via? price? (Bertrand).?You? are ?given ?that ?P?=?30-3Q.

a) ?Suppose ?initially ?that ?both ?firms ?have ?unlimited? capacities ?and? marginal? cost? of? 3.?What ?is? the? resulting? equilibrium? price? and ?total?quantity? in? the ?market? ??Prove ?your? answer.

b) ?Now? suppose? that? the ?first ?firm? has? a ?capacity ?of ?2 ?and? the? second? firm? has ?a ?capacity ?of ?4.? What? is? the? resulting ?equilibrium ?price?and? quantity? for? each? firm ?and? for ?the? market? as ?a? whole??Prove ?your ?result.

Reference no: EM13352823

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