Mathematics, 02.02.2022 05:30 FireFlight
A car dealer determines that if gasoline-electric hybrid automobiles are sold for x dollars apiece and the price of gasoline is y cents per gallon, then approximately h hybrid cars will be sold each year, where
h(x, y)=3,500−19x^1/2+6(0.1y+16)^3/2
She estimates that t years from now, the hybrid cars will be selling for
x(t) = 35,050 + 350t
dollars apiece and that gasoline will cost
y(t)=300+10(3t)^1/2
cents per gallon. At what rate will the annual demand for the hybrid cars be changing with respect to time 3 years from now? Will it be increasing or decreasing?
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