What is the rate of change of profit in Problem 49 at x=20? Data from problem 49

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What is the rate of change of profit in Problem 49 at x=20?

Data from problem 49

Suppose the profit, \(P\), measured in thousands of dollars, for a manufacturer is a function of the number of units produced, \(x\), and behaves according to the model

\[P(x)=50 x-x^{2}\]

Also suppose that the present production is 20 units. What is the per-unit increase in profit if production is increased from 20 to 30 units?

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