3. Let R = 4500Q - 36Q² be the revenue R for a firm producing output quantity Q > 0, with total costs of C = 2Q³ - 6Q² + 900Q +500. Find the profit function of the firm (where profits are given by revenue minus costs), find the value of Q> 0 that maximizes profits, and find the value of profits at the maximum.

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A: We know that  Leat sin(bt) = b(s-a)2+b2. Now  Lf(t)=L4 e3t sint cost= 2 L e3t 2sint cost= 2 L{e3t…

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