2
QUESTION ONE
[25 MARKS]
Consumers derived utility from consuming housing (H) and composite good (Y). Consumer
utility function is U(Y, H) = 10Y 2 H, price of composite good is (Py= N$ 1.00), the price of
housing is (Ph =N$5.00) and consumer income is (I = N$300). Government would like to
increase the consumption of good x with 200 per cent.
a) Government would like to increase the current demand for housing with 50%. Government
can achieve this objective by either giving cash subsidy or a voucher that can only be used
in the purchasing of housing. How much will it cost government if it decides to give cash
subsidy and how much will cost if it decides to give voucher?
[15 marks]
b) Similarly, if government want to increase the initial demand for housing with 100% from
the initial level, which option is cost effective to the government?
[10 marks]
Question Two
[25 marks]
a) Discuss in detail why economic models are at the heait of economics theory. [7 marks]
b) Construct two economics models. Each model must have at least three exogenous variables
and one endogenous variable. Use your knowledge of economic theories to state expected
signs between exogenous variables and endogenous variables in your models. [8 marks]
c) Consider the market for beef that is initially in equilibrium with a market price ofN$75.00
and a market quantity of 10 000 tons per month. Beef is a normal good. Both elasticities of
demand and supply are relatively inelastic. Suppose that people's incomes rise, and the
production cost of beef increases. Draw graphs illustrating the initial equilibrium and the
new equilibrium after the described changes. Provide a verbal description of the outcome
in this market due to these changes.
[10 marks]
Question Three
[25 marks]
A homogeneous products duopoly faces a market demand function given by P = 500 - 1OQ,
where Q = QI + Q2. Both firms have a constant marginal cost MC= 200.
a)
1. What is Firm 1's profit-maximizing quantity, given that Firm 2 produces an output of
50 units per year?
[2.5 marks]
ii. What is Firm 1's profit-maximizing quantity when Firm 2 produces 20 units per year?
[2.5 marks]
b) Derive the equation of each firm's reaction curve and then graph these curves.
[5 marks]
c) What is the Cournot equilibrium price and quantity per firm in this market?
[5 marks]
d) What would be the equilibrium price in this market if it were perfectly competitive?