1. Rats run on treadmills according to the function:
E = 5 + 62R -R2
where E = volts of electricity
R = number of rats
Rats cost $10 each. Electricity can be sold on the grid for $5 per volt. It costs $500 to build a large cage for the rats.
Show your work/thought process:
- What is the optimal amount of rats (R) to purchase?
- Given your answer in part a, what is the total amount of electricity (E) that will then be produced?