Answer: a) 4 days, b) Maximized percent = 16.46.
Step-by-step explanation:
Since we have given that
We need to find the maximum percent and number of days before the percent is maximized.
So, first we derivative the above p(t), we get that
Now, we will find the critical points :
So, we will check at t = -4.05, whether it gives maximum percent or not.
So, it becomes,
So, a) there would be 4 days before the percent is maximized.
b) maximum percent would be
Hence, a) 4 days, b) Maximized percent = 16.46.