Science:Math Exam Resources/Courses/MATH102/December 2017/Question 10 (d)/Statement

An animal foraging in a food patch has a net energy gain of ${\textstyle f(t)}$ by the time it has been foraging for ${\textstyle t}$ min (where ${\textstyle t}$ is nonnegative and ${\textstyle f(0)=0}$).

(d) Indicate the optimal time (time to maximize ${\textstyle A(t)}$, ${\textstyle 0<t\leq 100}$) in each case directly on the graph. Justify your answers with a sentence explaining the connection to the calculation in part (b) of this problem.