Rats run on treadmills according to the function: E = 5+ 62R –R 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: a. What is the optimal amount of rats (R) to purchase? b. Given your answer in part a, what is the total amount of electricity (E) that will then be produced?

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