The monthly sales of Sunny Electronics' new sound system are given by q(t) = 2,000t − 50t2 units per month, t months after its introduction. The price Sunny charges is p(t) = 1,000 − t2 dollars per sound system, t months after introduction. Find the rate of change of monthly sales. HINT [See Example 4(a).] q'(t) = Find the rate of change of the price. p'(t) = Find the rate of change of monthly revenue 5 months after the introduction of the sound system. $ per month Interpret your answer. When t = , the revenue is increasing at a rate of $ per month.

The monthly sales of Sunny Electronics' new sound system are given by q(t) = 2,000t − 50t2 units per month, t months after its introduction. The price Sunny charges is p(t) = 1,000 − t2 dollars per sound system, t months after introduction. Find the rate of change of monthly sales. HINT [See Example 4(a).] q'(t) = Find the rate of change of the price. p'(t) = Find the rate of change of monthly revenue 5 months after the introduction of the sound system. $ per month Interpret your answer. When t = , the revenue is increasing at a rate of $ per month.

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter17: Capital And Time

Section: Chapter Questions

Problem 17.6P

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