It should be noted that Kyoko's profit is maximized when she produces 6 frying pans.
When the profit is maximized, the marginal cost of the last frying pan she produces is $15 which is less than the price that Kyoko receives for each frying pan she sells.
The marginal cost of producing an additional frying pan is $25, which is greater than the price Kyoko receives for each frying pan she sells.
Therefore, in this case, Kyoko's profit maximizing quantity corresponds to intersection of both the marginal cost and marginal revenue curves.
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