Qusetion: EFFECT OF LUXURY TAX ON CONSUMPTION Government economists of a developing country determined that the purchase of imported perfume is related to a proposed "luxury tax" by the formula
N(x) = √(10,000 - 40x - 0.02x2) (0 ≤ t ≤ 200)
where N(x) measures the percentage of normal consumption of perfume when a "luxury tax" of x% is imposed on it. Find the rate of change of N(x) for taxes of 10%, 100%, and 150%.