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A company producing smartphones has the following cost function: C(Q) = 100Q + 0.5Q^2 + 5Q^3 where Q is the quantity of smartphones produced. The

A company producing smartphones has the following cost function:

C(Q) = 100Q + 0.5Q^2 + 5Q^3

where Q is the quantity of smartphones produced. The market demand for smartphones is given by

P = 120 - 0.25Q

where P is the price of smartphones. Calculate the profit-maximizing level of output and price of smartphones, and determine the level of profit the company will earn.

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