A popular three-story dollhouse has a price-demand equation given by p=D(x)=207-0.8x and the price-supply equation is given by p=S(x)=0.2x+132, where x is the number of dollhouses demanded/supplied when the price is p dollars each.  (a) Find the consumers' surplus for the dollhouses. (b) Find the producers' surplus for the dollhouses.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.7: Solving Systems Of Linear And Quadratic Equations
Problem 3GP
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A popular three-story dollhouse has a price-demand equation given by p=D(x)=207-0.8x and the price-supply equation is given by p=S(x)=0.2x+132, where x is the number of dollhouses demanded/supplied when the price is p dollars each. 

(a) Find the consumers' surplus for the dollhouses.

(b) Find the producers' surplus for the dollhouses. 

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