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Question: EFFECT OF ADVERTISING ON SALES The relationship between the amount of money x that Cannon Precision Instruments spends on advertising and the company's total sales S(x) is given by the function
S(x) = -0.002x3 + 0.6x2 + x + 500 (0 ≤ x ≤ 200)
where x is measured in thousands of dollars. Find the rate of change of the sales with respect to the amount of money spent on advertising. Are Cannon's total sales increasing at a faster rate when the amount of money spent on advertising is
(a) $100,000 or
(b) $150,000?
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