The math department is selling a new streaming homework service. The selling price per subscription for x thousands of subscriptions to the service is defined by the function: p(x)=0.1x2-6x+180 In the context of this problem, what is the domain and range of the price function? State your answers in interval notation. Why do your answers for the previous problem make sense in a real world scenario? Write your answer in complete sentences. Find the price per subscription if 100 thousand subscriptions are purchased.
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Nicole H.
The given function is a company's price function, where x is the quantity (in thousands) that will be sold at price p dollars. p = 10 - 2ln(x) (a) Find the revenue function R(x). [Hint: Revenue is price times quantity, p * x.] (b) Find the quantity (in thousands) and price (in dollars) that will maximize revenue. (Round your quantity to one decimal place, and round your price to the nearest cent.) quantity thousand price $
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