Demand for a certain kind of SUV obeys the following equation, D(x, y) = 20,000 -√x - 7(0.6y-10) 3/2 where x is the price per car in dollars, y is the cost of gasoline per litre, and D is the number of cars. Suppose that the price of the car and the price of gasoline t years from now obey the following equations: x = 65,200 + 100t, y = 139 + 10√ What will the rate of change of the demand be (with respect to time) 2 years from now?

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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Problem #8: Demand for a certain kind of SUV obeys the following equation,
D(x,y) = 20,000 – Vx- 7(0.6y – 10)3/2
where x is the price per car in dollars, y is the cost of gasoline per litre, and D is the number of cars.
Suppose that the price of the car and the price of gasoline t years from now obey the following equations:
x = 65,200 + 100t, y= 139 + 10V1
%3D
What will the rate of change of the demand be (with respect to time) 2 years from now?
Transcribed Image Text:Problem #8: Demand for a certain kind of SUV obeys the following equation, D(x,y) = 20,000 – Vx- 7(0.6y – 10)3/2 where x is the price per car in dollars, y is the cost of gasoline per litre, and D is the number of cars. Suppose that the price of the car and the price of gasoline t years from now obey the following equations: x = 65,200 + 100t, y= 139 + 10V1 %3D What will the rate of change of the demand be (with respect to time) 2 years from now?
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