Find the number of carats to be made available to maximize, Mathematics

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Find the number of carats to be made available to maximize

A diamond dealer finds that the demand for flawless diamonds is governed by p = -x² + 4x where x is in carats and p is in thousands of dollars.

(a) For what values of x is this a possible demand equation?

(b) Find the number of carats to be made available to maximize revenue. What is the price and revenue for this amount?

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Mathematics: Find the number of carats to be made available to maximize

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Mathematics: Find the number of carats to be made available to maximize

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