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

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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
Transcribed Image Text: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
Expert Solution
Step 1

a)

Given the demand and supply function:

Economics homework question answer, step 1, image 1

For the equilibrium quantity:

Economics homework question answer, step 1, image 2

Step 2

Putting the value of q in demand function:

Economics homework question answer, step 2, image 1

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:

Economics homework question answer, step 3, image 1

Since it passes through (0,4). We can plug x=0 and y=4 and solve for a:

Economics homework question answer, step 3, image 2

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