To confirm this is a maximum, note that $ C'(t) > 0 $ for $ 0 < t < 2 $ and $ C'(t) < 0 $ for $ t > 2 $, so the function increases then decreases. Thus, the maximum occurs at $ t = 2 $. - AMAZONAWS

📅 March 11, 2026 👤 scraface

Mar 11, 2026

To confirm this is a maximum, note that $ C'(t) > 0 $ for $ 0 < t < 2 $ and $ C'(t) < 0 $ for $ t > 2 $, so the function increases then decreases. Thus, the maximum occurs at $ t = 2 $.