Please assist with the steps for the word problem below. Government economists of a developing country determined that the purchase of imported perfume is related to a purposed "luxury tax" by the formula N(x)=square root of (12,000-50x-0.04x^2), 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 N9x) for a tax of 70%.

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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Please assist with the steps for the word problem below. 

Government economists of a developing country determined that the purchase of imported perfume is related to a purposed "luxury tax" by the formula N(x)=square root of (12,000-50x-0.04x^2), 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 N9x) for a tax of 70%. 

Expert Solution
Step 1: Given function

Government economists of a developing country determined that the purchase of imported perfume

is related to a purposed "luxury tax" by the formula 

N left parenthesis space x space right parenthesis space equals space square root of left parenthesis space 12000 space minus space 50 x space minus space 0.04 x squared end root

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