Demand for apartments in a certain town is D(x) = 1000-3x, and the supply is S(x)= 400 + 9x, where x is the number of apartments, in hundreds, and D(x) and S(x) are the rent in dollars per month, per apartment. a) Find the equilibrium point. b) Find the consumer surplus and producer surplus. c) Suppose a maximum rent of $634 per month is imposed by the town council. Find the point (Xc, Pc) - d) Find the new consumer surplus and new producer surplus. e) Find the deadweight loss. Find the equilibrium point. (50,850) (Type an ordered pair.) b) Find the consumer surplus. 3750 dollar(s) Find the producer surplus. 31250 dollar(s) 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Demand for apartments in a certain town is D(x) = 1000-3x, and the supply is
S(X) = 400 + 9x, where x is the number of apartments, in hundreds, and D(x)
and S(x) are the rent in dollars per month, per apartment.
a) Find the equilibrium point.
b) Find the consumer surplus and producer surplus.
c) Suppose a maximum rent of $634 per month is imposed by the town
council. Find the point (Xc, Pc).
d) Find the new consumer surplus and new producer surplus.
e) Find the deadweight loss.
Find the equilibrium point.
(50,850)
(Type an ordered pair.)
b) Find the consumer surplus.
3750 dollar(s)
Find the producer surplus.
31250 dollar(s)
1
Transcribed Image Text:Demand for apartments in a certain town is D(x) = 1000-3x, and the supply is S(X) = 400 + 9x, where x is the number of apartments, in hundreds, and D(x) and S(x) are the rent in dollars per month, per apartment. a) Find the equilibrium point. b) Find the consumer surplus and producer surplus. c) Suppose a maximum rent of $634 per month is imposed by the town council. Find the point (Xc, Pc). d) Find the new consumer surplus and new producer surplus. e) Find the deadweight loss. Find the equilibrium point. (50,850) (Type an ordered pair.) b) Find the consumer surplus. 3750 dollar(s) Find the producer surplus. 31250 dollar(s) 1
d) Find the new consumer surplus.
dollar(s)
(Type an integer or decimal rounded to two decimal places as needed.)
Find the new producer surplus.
dollar(s)
(Type an integer or decimal rounded to two decimal places as needed.)
e) Find the deadweight loss.
dollar(s)
Transcribed Image Text:d) Find the new consumer surplus. dollar(s) (Type an integer or decimal rounded to two decimal places as needed.) Find the new producer surplus. dollar(s) (Type an integer or decimal rounded to two decimal places as needed.) e) Find the deadweight loss. dollar(s)
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