D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item, and S(x) is the price, in dollars per unit, that producers are willing to accept for x units. D(x) =e -x+3.5, S(x) = ex- 4.5 a) Find the equilibrium point. b) Find the consumer surplus at the equilibrium point. c) Find the producer surplus at the equilibrium point.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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D(x) is the​ price, in dollars per​ unit, that consumers are willing to pay for x units of an​ item, and​ S(x) is the​ price, in dollars per​ unit, that producers are willing to accept for x units.

D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item, and S(x) is the price, in dollars per unit, that producers are willing to accept for x units.
D(x) =e -x+3.5, S(x) =ex- 4.5
a) Find the equilibrium point.
b) Find the consumer surplus at the equilibrium point.
c) Find the producer surplus at the equilibrium point.
a) What are the coordinates of the equilibrium point?
(Type an ordered pair. Round each coordinate to the nearest hundredth as needed. Do not include the $ symbol in your answer)
b) What is the consumer surplus at the equilibrium point?
(Round to the nearest cent as needed.)
c) What is the producer surplus at the equilibrium point?
(Round to the nearest cent as needed.)
Transcribed Image Text:D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item, and S(x) is the price, in dollars per unit, that producers are willing to accept for x units. D(x) =e -x+3.5, S(x) =ex- 4.5 a) Find the equilibrium point. b) Find the consumer surplus at the equilibrium point. c) Find the producer surplus at the equilibrium point. a) What are the coordinates of the equilibrium point? (Type an ordered pair. Round each coordinate to the nearest hundredth as needed. Do not include the $ symbol in your answer) b) What is the consumer surplus at the equilibrium point? (Round to the nearest cent as needed.) c) What is the producer surplus at the equilibrium point? (Round to the nearest cent as needed.)
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