Consider the following supply and demand functions, where price is expressed as a function of quantity. S(x) = 4x + 7 D(x) = -3x + 19   a. Find the equilibrium quantity, xE. b. Find the equilibrium price, pE. c. Find the consumer's surplus at the equilibrium point. d. Find the producer's surplus at the equilibrium point.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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Consider the following supply and demand functions, where price is expressed as a function of quantity.

S(x) = 4x + 7
D(x) = -3x + 19
 
a. Find the equilibrium quantity, xE.
b. Find the equilibrium price, pE.
c. Find the consumer's surplus at the equilibrium point.
d. Find the producer's surplus at the equilibrium point.
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