Market equilibrium - numerical
Question 1
For a linear demand function of Qd = 155 - 5P, calculate the values of quantity demanded for prices from $1 to $20.
Question 2
For a linear supply function of Qs = -25 + 10P, calculate the values of quantity supplied for prices from $1 to $20.
Question 3
Plot the demand and supply diagram for the values for quantity demanded and supplied calculated in questions 1 and 2.
Question 4
Using simultaneous equations calculate the equilibrium price and output. Show your working.
Question 5
The demand function changes to Qd = 125 - 5P.
- Calculate the new values for quantity demanded for prices from $1-$20.
- Calculate the new equilibrium price and output using simultaneous equations
- Plot the new demand curve as D2 on the demand and supply diagram. Use the diagram to confirm your answers to part (b).
Question 6
The supply function now changes to Qs = -15 + 15P.
- Calculate the new values for quantity supplied for prices from $1-$20.
- Calculate the new equilibrium price and output using simultaneous equations
- Plot the new supply curve as S2 on the demand and supply diagram. Use the diagram to confirm your answers to part (b).
Question 7
Suggest two reasons for:
- The change in the demand function from Qd = 155 - 5P to Qd = 125 - 5P.
- The change in the supply function from Qs = -25 + 10P to Qs = -15 + 15P.