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Given the following demand and supply equations, Qd = 50 − 2P and Qs = 30 + 3P, create a demand schedule and a supply schedule for prices ranging from 1 to 5.
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Step-by-step solution
17 stepsPart 2
Demand and Supply Activity
Part a· 2 steps
Create a demand schedule and a supply schedule for prices ranging from $1 to $5.
The given equations are:
Demand:
Supply:
Calculate and for each price from to .
For :
For :
For :
For :
For :
Organize the calculated values into a schedule.
P ($) 1 48 33 2 46 36 3 44 39 4 42 42 5 40 45
Part b· 3 steps
Draw the demand and supply curves on a graph.
Set up a graph with Price (P) on the y-axis and Quantity (Q) on the x-axis.
Plot the points for the demand curve () from the schedule (e.g., (48, 1), (46, 2), etc.) and connect them to form the demand curve.
Plot the points for the supply curve () from the schedule (e.g., (33, 1), (36, 2), etc.) and connect them to form the supply curve.
Part c· 4 steps
Identify the equilibrium price and quantity and indicate the points on the diagram.
Find the equilibrium where .
Solve for P.
The equilibrium price is
\boxed{4}$.Substitute into either the demand or supply equation to find the equilibrium quantity.
The equilibrium quantity is .
On the diagram, the equilibrium point is where the demand and supply curves intersect, at (Quantity = 42, Price = $4).
Part d· 4 steps
What happens in the market at a price of $2? Indicate this scenario on the diagram.
Calculate and at .
Compare and .
At , and . Since , there is a shortage.
Calculate the magnitude of the shortage.
On the diagram, at a price of $2, draw a horizontal line from $2 on the y-axis to intersect both the supply and demand curves.
The distance between the supply curve (at ) and the demand curve (at ) at this price represents the shortage.
Part e· 4 steps
What happens in the market at a price of $5? Indicate this scenario on the diagram.
Calculate and at .
Compare and .
At , and . Since , there is a surplus.
Calculate the magnitude of the surplus.
On the diagram, at a price of $5, draw a horizontal line from $5 on the y-axis to intersect both the demand and supply curves.
The distance between the demand curve (at ) and the supply curve (at ) at this price represents the surplus.
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