Ononot — A manufacturing plant has a fixed cost of \5000 and a variab

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Real-World Applicationshard

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A manufacturing plant has a fixed cost of $\$ 5000 $and a variable cost of$ C(q) = 0.02q^2 + 4q $per unit. The revenue function is$ R(q) = 50q - 0.05q^2 $. If the government imposes a tax of$ $3 $per unit produced, what quantity$ q$ maximizes the after-tax profit?