Consider a hypothetical demand schedule for monosodium lutamate $($MSG$).$ Suppose that Ajinomoto holds $50\%$ of the narket, Jiali holds $30\%$ of the market, and Quingdao holds $20\%$ of the market.

Suppose the three firms agree to form a cartel to fix production of monosodium glutamate. Assume marginal cost equals zero, and the output is split equally across the firms.

What quantity maximizes the cartel's profit?

$110$ million pounds

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