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Suppose that S(t) = 30+60 cos 21 (t 15) represents a company's profit (in thousands of dollars) from sales during week t [1, 52]. (a)

Suppose that S(t) = 30+60 cos 21 (t 15) represents a company's profit (in thousands of dollars) from sales during week t [1, 52].

(a) Without the use of a calculator, determine the company's profit during week 36 . Interpret your result

(b) Determine the maximum profit earned by the company in a week. During which week does the company earn its maximum profit?

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