95. Price-demand equation. According to economic theory, the demand x for a quantity in a free market decreases as the price p increases (see the figure). Suppose that the number x of DVD players people are willing to buy per week from a retail chain at a price of $p is given by 4,000 10 s p< 70 0.1p + 1 I 2,000 4,000 0.1p +1 1,600 1,200 800 100p 0.1p + 1 400 20 40 60 80 Supply/Demand

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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Question
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(A) Find dx/dp.
(B) Find the demand and the instantaneous rate of change
of demand with respect to price when the price is $40.
Write a brief interpretation of these results.
(C) Use the results from part (B) to estimate the demand if
the price is increased to $41.
Transcribed Image Text:(A) Find dx/dp. (B) Find the demand and the instantaneous rate of change of demand with respect to price when the price is $40. Write a brief interpretation of these results. (C) Use the results from part (B) to estimate the demand if the price is increased to $41.
ber of suDS
95. Price-demand equation. According to economic theory,
the demand x for a quantity in a free market decreases as the
price p increases (see the figure). Suppose that the number
x of DVD players people are willing to buy per week from a
retail chain at a price of $p is given by
4,000
10 sps 70
X =
0.1p + 1
4,000
0.1p+1
2,000
1,600
1,200
800
100p
0. 1p + 1
400
++
20
++++
80
40
60
Price (dollars)
Figure for 95 and 96
Supply/Demand
Transcribed Image Text:ber of suDS 95. Price-demand equation. According to economic theory, the demand x for a quantity in a free market decreases as the price p increases (see the figure). Suppose that the number x of DVD players people are willing to buy per week from a retail chain at a price of $p is given by 4,000 10 sps 70 X = 0.1p + 1 4,000 0.1p+1 2,000 1,600 1,200 800 100p 0. 1p + 1 400 ++ 20 ++++ 80 40 60 Price (dollars) Figure for 95 and 96 Supply/Demand
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