Science:Math Exam Resources/Courses/MATH100 B/December 2023/Question 30(f)/Statement

(f) For this part, let ${\textstyle k_{1}=1}$ and, for notational simplicity, rename ${\textstyle k_{2}=k}$. What is the optimal daily drug quantity to administer so as to maximize the fraction of patients surviving? Justify carefully that you have indeed found a global maximum.