The inverse of the demand and supply functions for shoes is given by the
following equations respectively:
Demand: P = 1400 - 2Qd
Supply: P = 200 + 1Qs
1.1. Calculate the equilibrium price and quantity of shoes.
(5)
1.2. Assume that the price of shoes is R700. Use your answer in 1.1 to explain
the resulting situation in the market for shoes, and how equilibrium will
be restored without government intervention, ceteris paribus
Solution:
1.1.). At equilibrium: Qd = Qs
1400 – 2Q = 200 + 1Q
1400 – 200 = 1Q + 2Q
1200 = 3Q
Q = 400
Equilibrium quantity = 400
Substitute in either the demand or supply function to derive equilibrium price:
P = 1400 – 2Qd = 1400 – 2(400) = 1400 – 800 = 600
Equilibrium price = 600
1.2). The price of R700 will be above the equilibrium price, which means that the quantity of shoes supplied will exceed the quantity of shoes demanded, resulting in shoes surplus in the market.
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