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Given the profit function = -500 + 200Q - 4Q^2, where Q corresponds to output, do...

Given the profit function = -500 + 200Q - 4Q^2, where Q corresponds to output, do the following:

(a) Find that value of Q that maximizes profit.

(b) How do you know that your value of Q maximizes profit?

(c) What is the maximum value of profit?

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