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Find the rate of change of total​ revenue, cost, and profit with respect to time. Assume...

Find the rate of change of total​ revenue, cost, and profit with respect to time. Assume that​ R(x) and​ C(x) are in dollars.

​R(x) = 45x−0.5x2​, C(x) = 4x+15​, when x = 30 and dx/dt = 15 units per day

The rate of change of total revenue is ____per day.

The rate of change of total cost is ___ per day.

The rate of change of total profit is. ____per day.

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