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Find the rate of change of totalrevenue, cost, and profit with respect to time. Assume thatR(x) andC(x) are in dollars. R(x)=50x-0.5x^2 C(x)=5x+20 when x=25, dx/dt=20

Find the rate of change of totalrevenue, cost, and profit with respect to time. Assume thatR(x) andC(x) are in dollars.

R(x)=50x-0.5x^2

C(x)=5x+20

when x=25, dx/dt=20 units per day.

  1. The rate of change of total revenue is $____ per day
  2. The rate of change of total cost is $_____ per day
  3. The rate of change of total profit is $____ per day

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