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[Solution Library] MARGINAL PROFIT. A manufacturer' estimates marginal revenue to be R^prime(q)=100 q^-1/2 dollars per unit when the level of production

Question: MARGINAL PROFIT. A manufacturer' estimates marginal revenue to be \(\mathrm{R}^{\prime}(\mathrm{q})=100 \mathrm{q}^{-1/2}\) dollars per unit when the level of production is \(q\) units. The corresponding marginal cost has been found to be $0.4 q$ dollars per unit. Suppose the manufacturer's profit is $520 when the level of production is 16 units. What is the manufacturer's profit when the level of production is 25 units?

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