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Consider the following cost function: C(x) = 0.01x2 + 10x + 200. (a) Use Calculus to approximate the values of C(11) and C(101). (b) With

Consider the following cost function: C(x) = 0.01x2 + 10x + 200.

(a) Use Calculus to approximate the values of C(11) and C(101).

(b) With a calculator one can check that f(11) = 311.21 and f(101) = 1312.01.

Based on this information, which approximation do you think is better, the one for 11 or the one for 111, in absolute and relative terms? Explain your answer.

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