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Your firm's research department has estimated your total revenues to be R(Q) = 3,000Q - 8Q2 and your total costs to be C(Q) = 100 + 2Q2. (Note that MB = 3,000 - 16Q and MC = 4Q.)

a. What level of Q maximizes net benefits (profits)?

b. What is the maximum level of net benefits (profits)?

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