Question
A product is introduced into the market. Suppose a product's sales quantity per month q(t)q(t) is a function of time tt in months is given
A product is introduced into the market. Suppose a product's sales quantity per month q(t)q(t) is a function of time tt in months is given by q(t)=4000t110t2q(t)=4000t-110t2 And suppose the price in dollars of that product, p(t)p(t), is also a function of time tt in months and is given by p(t)=110t2p(t)=110-t2 A. Find, R'(t)R(t), the rate of change of revenue as a function of time tt expanding and collected not required B. What is the the rate of change of revenue with respect to time 4 months after the introduction. C. Interpret your answer in part B include the units of the number in part B
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