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Price of Perfume The monthly demand for a certain brand of perfume is given by the demand equation p = 100e-0.0002x + 75 where p denotes the retail unit price (in dollars/bottle) and x denotes the quantity (in 1-oz bottles) demanded. (a) Find the rate of change of the price per bottle (in dollars) when x = 1,000 and when x = 2,000. (Round your answers to four x = 1,000 dollars/bottle dollars/bottle x = 2,000 (b) What is the price per bottle (in dollars) when x = x = 1,000 x = 2,000 $ 1,000? When x = 2,000? (Round your answers to the nearest cent.)

Price of Perfume The monthly demand for a certain brand of perfume is given by the demand equation p = 100e-0.0002x + 75 where p denotes the retail unit price (in dollars/bottle) and x denotes the quantity (in 1-oz bottles) demanded. (a) Find the rate of change of the price per bottle (in dollars) when x = 1,000 and when x = 2,000. (Round your answers to four x = 1,000 dollars/bottle dollars/bottle x = 2,000 (b) What is the price per bottle (in dollars) when x = x = 1,000 x = 2,000 $ 1,000? When x = 2,000? (Round your answers to the nearest cent.)

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section: Chapter Questions
Problem 104RE: Demand A company has found that the daily demand x for its boxes of chocolates is inversely...
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Price of Perfume The monthly demand for a certain brand of perfume is given by the demand equation p = 100e-0.0002x + 75 where p denotes the retail unit price (in dollars/bottle) and x denotes the quantity (in 1-oz bottles) demanded. (a) Find the rate of change of the price per bottle (in dollars) when x = 1,000 and when x = 2,000. (Round your answers to four decimal places.) x = 1,000 dollars/bottle dollars/bottle x = 2,000 (b) What is the price per bottle (in dollars) when x = 1,000? When x = 2,000? (Round your answers to the nearest cent.) x = 1,000 $ x = 2,000 $
Transcribed Image Text:Price of Perfume The monthly demand for a certain brand of perfume is given by the demand equation p = 100e-0.0002x + 75 where p denotes the retail unit price (in dollars/bottle) and x denotes the quantity (in 1-oz bottles) demanded. (a) Find the rate of change of the price per bottle (in dollars) when x = 1,000 and when x = 2,000. (Round your answers to four decimal places.) x = 1,000 dollars/bottle dollars/bottle x = 2,000 (b) What is the price per bottle (in dollars) when x = 1,000? When x = 2,000? (Round your answers to the nearest cent.) x = 1,000 $ x = 2,000 $
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