The demand for a certain video game is modeled by the logistic curve q(t) =  10,000 1 + 0.5e−0.3t, where q(t) is the total number of units sold t months after its introduction. (a) Use technology to estimate q'(4). (Round your answer to the nearest whole number.) q'(4) = units per month (b) Assume that the manufacturers of the video game sell each unit for $700. What is the company's marginal revenue dR/dq? dR dq= $ per unit (c) Use the chain rule to estimate the rate at which revenue is growing 4 months after the introduction of the video game. (Round your answer to the nearest thousand.) $ per month

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