SECTION B
40 Marks
QUESTION 1
a) Suppose that the demand function for lamb in Namibia is Q = 63 - llp + 7pb + 3pc + 2Y,
where Q is the quantity in million kilograms (kg) of lamb per year, pis the dollar price
per kg (all prices cited are in Namibian dollars), pb is the price of beef per kg, pc is the
price of chicken per kg, and Y is annual per capita income in thousands of Namibian
dollars. What is the demand curve if we hold pb, pc, and Yat their typical values during
the period studied: pb = 19, pc= 6, and Y= 78?
(5)
b) Using the demand function for lamb from Question 1 (a) above, show how the quantity
demanded at a given price changes as annual per capita income, Y, increases by N$200.
(2)
c) Suppose that the supply function for lamb in Namibia is Q = 149 + 8p - 9ps, where Q is
the quantity in millions of kg of lamb per year, and p and ps are the prices of lamb and
sheep, respectively, in Namibian dollars per kg. How does the supply curve change if the
price of sheep increases from N$5 to N$5.50 per kg?
(6)
d) Suppose the supply function for processing coffee beans from coffee cherries in Mexico
= = is Qs 3.15 + 0.lp - 0.5pc and the demand curve for coffee beans is Qd 4.1 - 0.2p,
where Qs and Qd are quantities of coffee beans in thousands of 60-kg bags, p is the
price of coffee beans in millions of pesos per thousand 60-kg bags, and pc= 0.8 is the
price of coffee cherries in millions of pesos per thousand 60-kg bags. What is the supply
curve for coffee beans (that is, supply as a function of only the price of coffee beans)?
Solve for the equilibrium price and quantity of coffee beans.
(10)
e) Is it possible that an outright ban on foreign imports will have no effect on the
equilibrium price? (Hint: Suppose that imports occur only at relatively high prices.) (7)
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