Suppose the revenue for a company is given by = and cost is given by = 5500 + 2 . remembering that profit is revenue minus cost, find the maximum profit this company can achieve.

You are standing next to a really big circular lake. you want to measure the diameter of the lake, but you don't want to have to swim across with a measuring tape! you decide to walk around the perimeter of the lake and measure its circumference, and find that it's 400\pi\text{ m}400? m. what is the diameter dd of the lake?