Demand for a certain kind of SUV obeys the following equation, D(x, y) = 21,000 Vx - 13(0.9y – 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 = 61,200 + 100t, y = 120 + 6Vt What will the rate of change of the demand be (with respect to time) 2 years from now?
Demand for a certain kind of SUV obeys the following equation, D(x, y) = 21,000 Vx - 13(0.9y – 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 = 61,200 + 100t, y = 120 + 6Vt What will the rate of change of the demand be (with respect to time) 2 years from now?
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.1: Quadratic Functions And Models
Problem 56E: When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream...
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