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A stock analyst tracks three companies with stock prices f(t) = 40 + t + t...

A stock analyst tracks three companies with stock prices f(t) = 40 + t + t 2 − t 3/10, g(t) = 7 + t − t 2 + t 3/5, and h(t) = 15 + t − t 2/2 + t 3/10 − t 4/200, t months into the year. A monthly buy recommendation is due at the end of August, so t = 8. The analyst believes in ‘momentum investing’ and looks for companies with stock prices that are concave upwards at the time of the recommendation. Which company is recommended?

(a) The company with stock price f(t). (b) The company with stock price g(t). (c) All three of the tracked companies. (d) Neither of the three tracked companies. (e) The company with stock price h(t).

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