Q3. Let D(x) and S(x) represent, respectively, the Demand and Supply functions, for a certain commodity, where y is the unit price and x is the number of items for that unit price. For the given Demand and Supply functions. Demand: D(x) = y = -2x + 100 Supply: S(x) = y = x² + 4x – 60 a) Find the equilibrium quantity (if it exists) [5pts] b) Find the equilibrium price. [5pts] c) For which values of x, market has shortage. [5pts] d) For which values of x, market has surplus. [5pts] e) Draw the graphs of demand and supply functions on the same coordinate systems. [5pts] |

Microeconomics
13th Edition
ISBN:9781337617406
Author:Roger A. Arnold
Publisher:Roger A. Arnold
Chapter3: Supply And Demand: Theory
Section: Chapter Questions
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Q3. Let D(x) and S(x) represent, respectively, the Demand and Supply functions, for a certain
commodity, where y is the unit price and x is the number of items for that unit price.
For the given Demand and Supply functions.
Demand: D(x) = y = -2x +100
Supply: S(x) = y = x² + 4x – 60
a) Find the equilibrium quantity (if it exists) [Spts]
b) Find the equilibrium price. [5pts]
c) For which values of x, market has shortage. [5pts]
d) For which values of x, market has surplus. [5pts]
e) Draw the graphs of demand and supply functions on the same coordinate systems. [5pts]
Transcribed Image Text:Q3. Let D(x) and S(x) represent, respectively, the Demand and Supply functions, for a certain commodity, where y is the unit price and x is the number of items for that unit price. For the given Demand and Supply functions. Demand: D(x) = y = -2x +100 Supply: S(x) = y = x² + 4x – 60 a) Find the equilibrium quantity (if it exists) [Spts] b) Find the equilibrium price. [5pts] c) For which values of x, market has shortage. [5pts] d) For which values of x, market has surplus. [5pts] e) Draw the graphs of demand and supply functions on the same coordinate systems. [5pts]
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