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# Donut Delights, Inc. has determined that when x donuts are made daily, the profit P (in dollars) is given by P(x) = -0.001 x 2 + 2.

Donut Delights, Inc. has determined that when x donuts are made daily, the profit P (in dollars) is given by

P(x) = -0.001 x2 + 2.9x - 1020

(a) What is the company's profit if 500 donuts are made daily?

(b) How many donuts should be made daily in order to maximize the company's profit? Show work.