A local internet provider is constructing a function that will model its profits (P) in thousands of dollars (USD) as a function of the number of internet subscribers (s) in hundreds of people. To accomplish this, they have already constructed the function R(s) for revenue and E(s) for expenses, both measured in thousands of dollars. R(s) = 40 In(s + 1) E(s) 10e0.1s = Find how many hundreds of subscribers are necessary to maximise the company's profit.