Science:Math Exam Resources/Courses/MATH102/December 2017/Question 13 (a)/Solution 1

Following the Hint, the production rate is represented by the positive term, which is ${\textstyle {\dfrac {4c^{3}}{1+c^{3}}}}$. Similarly, the consumption rate is represented by ${\textstyle -rc}$.

Answer: Production: ${\textstyle {\color {blue}{\dfrac {4c^{3}}{1+c^{3}}}}}$. Consumption: ${\textstyle {\color {blue}-rc}}$.