Determinants of Equilibrium Price, Quantity And Point With Simple Applications - SS1 Economics Past Questions and Answers - page 1
Word problem:
If the demand function is Qd = 60 - 2p and the supply function is Qs = 20 + 4p, what is the equilibrium level of quantity and price?
Solution:
To find the equilibrium level of quantity and price, we need to set the demand function equal to the supply function and solve for Q and p:
Qd = Qs
60 - 2p = 20 + 4p
60 - 20 = 6p
40 = 6p
p = 40/6 = 6.67
Now that we have the value of p, we can substitute it into either the demand or supply function to find the equilibrium quantity:
Qd = 60 - 2p = 60 - 2(6.67) = 46.67
Qs = 20 + 4p = 20 + 4(6.67) = 46.68
The equilibrium level of quantity is approximately 46.67 units and the equilibrium price is approximately $6.67 per unit.
Given the demand function Qd = 80 - 3p and the supply function Qs = 12 + 5p, what is the equilibrium level of quantity and price?
Solution:
To find the equilibrium level of quantity and price, we need to set the demand function equal to the supply function and solve for Q and p:
Qd = Qs
80 - 3p = 12 + 5p
68 = 8p
p = 8.5
Now that we have the value of p, we can substitute it into either the demand or supply function to find the equilibrium quantity:
Qd = 80 - 3p = 80 - 3(8.5) = 55.5
Qs = 12 + 5p = 12 + 5(8.5) = 53.5
The equilibrium level of quantity is approximately 55.5 units and the equilibrium price is approximately $8.50 per unit.
If the demand function is Qd = 36 - 6p and the supply function is Qs = 30 + 2p, what is the equilibrium level of quantity and price?
Solution:
To find the equilibrium level of quantity and price, we need to set the demand function equal to the supply function and solve for Q and p:
Qd = Qs
36 - 6p = 30 + 2p
6p = 6
p = 1
Now that we have the value of p, we can substitute it into either the demand or supply function to find the equilibrium quantity:
Qd = 36 - 6p = 36 - 6(1) = 30
Qs = 30 + 2p = 30 + 2(1) = 32
The equilibrium level of quantity is 30 units and the equilibrium price is $1 per unit.
How does an increase in demand affect the equilibrium price and quantity of a product?
An increase in demand causes an increase in both the equilibrium price and quantity of a product.
How does a decrease in production cost affect the equilibrium price and quantity of a product?
A decrease in production cost causes a decrease in the equilibrium price and an increase in the equilibrium quantity of a product.