solano carriers finds that its revenue in dollars from the sale of suitcases is given by the following equation: R(x)=0.007x^3-0.5x^2+200x. the variable x represents the quantity of suitcases sold.
A. Determine the company average rate of change in revenue over the interval [20,25] suitcases.
B. determine the company instantaneous rate if change.
C. Calculate the instantaneous rate of change in the revenue when 25 suitcases are sold.
A. The average rate of change of revenue is R(25) - R(20) / 5
= 4796.88 - 3856 / 5
= 940.88 / 5 = 188.18
B. The instantaneous rate of change is R'(x)
= (3)(.007)x^2 - (2)(0.5)x + 200
= 0.021x^2 - x + 200
C. R'(25) = (0.021)(25^2) - (25) + 200
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