Suppose the demand for a certain item is given by D(p) = − 2p² - 4p +500, where p represents the price of the item in dollars.a. Find the rate of change of demand with respect to price.b. Find and interpret the rate of change of demand when the price is $12.an example Get more help.%a. The rate of change of demand with respect to price is5G Search or type URLTMacBook Pro6Y&7U* 0081CHEER(Simplify your answer.)900Clear allP..F{لالہChec+ 11[11

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Answered: Suppose the demand for a certain item…

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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The owner of a local hair salon is planning to raise the price for a haircut and blow dry. The current rate is $30 for this service, with the salon averaging 550 clients a month. A survey indicates that the salon will lose 5 clients for every incremenetal price increase of $2.50. a. Write an equation to model the salon’s monthly revenue, R, in dollars, as a function of x, where x represents the number of $2.50 increases in price. b. Use the product rule to determine R’(x). c. Solve for R’(x) = 0.
1. Step-by-Step Answer 2. Thorough Explanation
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Hi. Can you please answer this clearly ? Thanks !
If the price (in dollars) of a product is given by P(x) 1024 + 1500, where x represents the demand for the product, find the rate of change of price when the demand is 32 units.
. Town MHF determines the amount of property tax (P) in hundreds of dollars as a function of thebuilding size (s) in 10 square meters.?(ℎ) = 5 √? − ³√3 + 5a. What property tax would you need to pay on an empty lot (no building)?b. Determine the average rate of property tax increase (per 10 square meters) for s = 2 to s = 5. c. What is the instantaneous rate of change of property tax for a building that is 100m²(s = 10)?
Fill in the blanks outside the table showing the changes in the x- and y-values. Then, answer the questions. 1) a. Is it a linear function? b. Why/Why not? -3 1. -2 -1 3 4 1 5 2) a. Is it a linear function? b. Why/Why not? -5 2 1. -2 4 -1 6 1. 2 8 1. 10 3) -10 a. Is it a linear function? 1. -5 b. Why/Why not? 4 2 5 1. 10 -3 4) y a. Is it a linear function? b. Why/Why not? -1 -9 ]. -4 1. 1 1. 3 7 11 1. 11 15

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