a. Estimate the equlibrium price and quantity of the market whose demand and supply functions are pd =-lg+ 4) 2+100 and ps = (g+ 2) 2 respectively. Showing all supporting working: b. If the region A (shaded grey) in the diagram above represents a solution set, derive the system of inequalities which define that region
a. Estimate the equlibrium price and quantity of the market whose demand and supply functions are pd =-lg+ 4) 2+100 and ps = (g+ 2) 2 respectively. Showing all supporting working: b. If the region A (shaded grey) in the diagram above represents a solution set, derive the system of inequalities which define that region
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Expert Solution
Step 1
a)
Given the demand and supply function:
For the equilibrium quantity:
Step 2
Putting the value of q in demand function:
Step 3
b)
There are two parabolas with vertices (2,0) and (2,4)
Parabola with vertex (2,0) passes through (0,4).
Equation of the blue parabola looks like:
Since it passes through (0,4). We can plug x=0 and y=4 and solve for a:
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