solano carriers finds that its revenue in dollars

Business & Finance
Tutor: None Selected Time limit: 1 Day

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.

May 13th, 2015

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

= 188.13

May 13th, 2015

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May 13th, 2015
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May 13th, 2015
Dec 5th, 2016
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