A company’s marginal costs (in thousands of dollars per year) were as follows over a certain period.

Repeat parts (a) and (b) of Exercise 23 for these data to find the total cost over the given period.

Exercise 23

In Exercise , we estimated the total U.S. wind energy consumption (in trillion BTUs) for the 12-year period from 2001 to 2019 using rectangles and the following data.

(a) Approximate the total wind energy consumption using the trapezoidal rule.
(b) Approximate the total wind energy consumption using Simpson’s rule.

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Year, x 12 2 3 4 5 Marginal Cost, f(x) 9.0 9.2 9.5 9.4 9.8 6 7 10.1 10.5