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An importer of Brazilian coffee estimates that local consumers will buy approximately D(p) dollars per pound. It is also estimated that t weeks from now, the price of Brazilian coffee will be p(t) = 0.01t² + 0.05t + 6 dollars per pound. a) At what rate will the demand for coffee be changing with respect to price when the price is 9 dollars? b) At what rate will the demand for coffee be changing with respect to time 10 weeks from now? c) Is the demand increasing after 10 weeks? Answer (Y/N): 4490 p² pounds of the coffee per week when the price is p

An importer of Brazilian coffee estimates that local consumers will buy approximately D(p) dollars per pound. It is also estimated that t weeks from now, the price of Brazilian coffee will be p(t) = 0.01t² + 0.05t + 6 dollars per pound. a) At what rate will the demand for coffee be changing with respect to price when the price is 9 dollars? b) At what rate will the demand for coffee be changing with respect to time 10 weeks from now? c) Is the demand increasing after 10 weeks? Answer (Y/N): 4490 p² pounds of the coffee per week when the price is p

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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An importer of Brazilian coffee estimates that local consumers will buy approximately D(p) dollars per pound. It is also estimated that t weeks from now, the price of Brazilian coffee will be 0.01t² +0.05t +6 p(t) = c) Is the demand increasing after 10 weeks? Answer (Y/N): dollars per pound. a) At what rate will the demand for coffee be changing with respect to price when the price is 9 dollars? b) At what rate will the demand for coffee be changing with respect to time 10 weeks from now? = 4490 p² pounds of the coffee per week when the price is p
Transcribed Image Text:An importer of Brazilian coffee estimates that local consumers will buy approximately D(p) dollars per pound. It is also estimated that t weeks from now, the price of Brazilian coffee will be 0.01t² +0.05t +6 p(t) = c) Is the demand increasing after 10 weeks? Answer (Y/N): dollars per pound. a) At what rate will the demand for coffee be changing with respect to price when the price is 9 dollars? b) At what rate will the demand for coffee be changing with respect to time 10 weeks from now? = 4490 p² pounds of the coffee per week when the price is p
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