Demand for a certain kind of SUV obeys the following equation, D(x, y) = 22,000 − 1 2 √ x− 5(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 = 50,200 + 300t, y = 132 + 5 √ t What will the rate of change of the demand be (with respect to time) 3 years from now?
Demand for a certain kind of SUV obeys the following equation, D(x, y) = 22,000 − 1 2 √ x− 5(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 = 50,200 + 300t, y = 132 + 5 √ t What will the rate of change of the demand be (with respect to time) 3 years from now?
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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| Demand for a certain kind of SUV obeys the following equation, D(x, y) = 22,000 −
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 = 50,200 + 300t, y = 132 + 5
What will the rate of change of the demand be (with respect to time) 3 years from now? |
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