Find the nash equilibrium price

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Suppose that demand for noise-cancelling headphones is given by ?? = 240 - ??. There are only two firms that produce this coveted product, they both have cost function ????(????) = 80 + ???? 2 , where ?? = 1,2 denotes the identity of each firm, respectively. Total production of noise-cancelling headphones is equal to the output of the two firms.

a. Suppose the two firms compete on quantities. Find the Nash equilibrium price and the output of each firm. How much profit does each firm make?

b. Rewrite the cost function of one of the firms such that best responses of the two firms are no longer symmetric. Explain how this will affect their relative output levels

Reference no: EM132795588

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