Question: For question c you don't have to define it in maple just write the answer down 4. [12 marks] Suppose that S(t) = 30+60 cos

For question c you don't have to define it in maple just write the answer down

4. [12 marks] Suppose that S(t) = 30+60 cos (2(t - 15) ) represents a company's profit (in thousands of dollars) from sales during week t e [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? (c) Define S(t) as a function in Maple (S(t) :=???) and plot S(t) in Maple for t E [0, 52]. Over the 52 -week period, how many times does the company "break even" (have no profit or loss) after week 1

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