The demand for a particular breakfast pastry is given by the demand equation px +50p =16,000, where x thousands of boxes are demanded when p cents is the price per box. If the current price of the pastry is $1.60 per box and the price is increasing at the constant rate of 0.4 cents per week, find the rate of change in demand, with respect to time.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The demand for a particular breakfast pastry is given by the demand equation
px +50p =16,000,
where x thousands of boxes are demanded when p cents is the price per box. If the current
price of the pastry is $1.60 per box and the price is increasing at the constant rate of 0.4 cents
per week, find the rate of change in demand, with respect to time.
Transcribed Image Text:The demand for a particular breakfast pastry is given by the demand equation px +50p =16,000, where x thousands of boxes are demanded when p cents is the price per box. If the current price of the pastry is $1.60 per box and the price is increasing at the constant rate of 0.4 cents per week, find the rate of change in demand, with respect to time.
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