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 dx (A) Find dp 9,000 to buy per week from a retail chain at a price of $p is given by x = 10 sps70. 0.3p + 1" dx Answer parts (A), (B), and (C). dp Ax 4500- (B) Find the demand and the instantaneous rate of change of demand with respect to price when the price is $30. Write a brief interpretation of these results. The demand is x = when the price is $30. 2250- 9,000 The instantaneous rate of change of demand with respect to price is when the price is 0.3p + 1 $30. Write a brief interpretation of these results. 40 Price (dollars) 80 At a price level of $30, the demand is DVD players per week and demand is V at the rate of (C) Use the results from part (B) to estimate the demand if the price is increased to $31.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter6: Demand Relationships Among Goods
Section: Chapter Questions
Problem 6.4P
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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
dx
(A) Find
9,000
to buy per week from a retail chain at a price of $p is given by x =
10 sp<70.
0.3p + 1'
dx
Answer parts (A), (B), and (C).
dp
4500-
(B) Find the demand and the instantaneous rate of change of demand with respect to price
when the price is $30. Write a brief interpretation of these results.
The demand is x =
when the price is $30.
2250-
9,000
The instantaneous rate of change of demand with respect to price is
when the price is
X =
0.3p + 1
$30.
Write a brief interpretation of these results.
p.
0-
40
80
At a price level of $30, the demand is
DVD players per week and demand is
Price (dollars)
V at the rate of
(C) Use the results from part (B) to estimate the demand if the price is increased to $31.
Demand
.....
Transcribed Image Text: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 dx (A) Find 9,000 to buy per week from a retail chain at a price of $p is given by x = 10 sp<70. 0.3p + 1' dx Answer parts (A), (B), and (C). dp 4500- (B) Find the demand and the instantaneous rate of change of demand with respect to price when the price is $30. Write a brief interpretation of these results. The demand is x = when the price is $30. 2250- 9,000 The instantaneous rate of change of demand with respect to price is when the price is X = 0.3p + 1 $30. Write a brief interpretation of these results. p. 0- 40 80 At a price level of $30, the demand is DVD players per week and demand is Price (dollars) V at the rate of (C) Use the results from part (B) to estimate the demand if the price is increased to $31. Demand .....
(B) Find the demand and the instantaneous rate of change of demand with respect to price
when the price is $30. Write a brief interpretation of these results.
The demand is x =|
when the price is $30.
The instantaneous rate of change of demand with respect to price is
when the price is
$30.
Write a brief interpretation of these results.
At a price level of $30, the demand is
DVD players per week and demand is
at the rate of
(C) Use the results from part (B) to estimate the demand if the price is increased to $31.
The demand is approximately
if the price is increased to $31.
Transcribed Image Text:(B) Find the demand and the instantaneous rate of change of demand with respect to price when the price is $30. Write a brief interpretation of these results. The demand is x =| when the price is $30. The instantaneous rate of change of demand with respect to price is when the price is $30. Write a brief interpretation of these results. At a price level of $30, the demand is DVD players per week and demand is at the rate of (C) Use the results from part (B) to estimate the demand if the price is increased to $31. The demand is approximately if the price is increased to $31.
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