The sales of a product S (in thousands of dollars) are given by S = 600x /

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The sales of a product S (in thousands of dollars) are given by

S = 600x / x + 40

where x is the advertising expenditure (in thousands of dollars).

(a) Find the rate of change of sales with respect to advertising expenditure.

(b) Use the second derivative to find how this rate is changing at x = 20.

(c) Interpret your result in part (b).

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