The Knickknack Company has determined that the profit when producing ceramic penguins can be found by the function f(x) = -2x² + 15x-9, where x represents the number of penguins produced in hundreds, and f(x) represents the profit in thousands (i.e., f(1) = 4 represents a profit of $4000 on the production of 100 penguins). How many ceramic penguins do you think the Knickknack Company should produce? Clearly explain your thinking and include all relevant information.

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