Before you turn this problem in, make sure everything runs as expected. First, restart the kernel (in the menubar, select Kernel\(\rightarrow\)Restart) and then run all cells (in the menubar, select Cell\(\rightarrow\)Run All).

Make sure you fill in any place that says YOUR CODE HERE or “YOUR ANSWER HERE”, as well as your name and collaborators below:

NAME = ""
COLLABORATORS = ""

Finding maximum capacity for manufacturing

A major manufacturer has determined their operating rate over a 365 day period is given by

\(f(t) = 100 + \frac{800 t}{t^2 + 90000}\).

Use this information to find the day (between 0 and 365) where the operating rate is maximized. Show that your solution seems reasonable.

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When you are done, download a PDF and turn it in on Canvas. Make sure to save your notebook, then run this cell and click on the download link.

%run ~/s25-06623/s25.py
%pdf