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Micro and Macro Exercise

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Submitted By huonghen
Words 2504
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ECONOMICS FOUNDATION - MBA 502
Homework Assignments
Chu Nguyen Quynh Huong
Class: M0111

Assignment 1 – Microeconomics
1. The Basics of Supply and Demand (Pindyck – Chapter 2): Excercises 9, 10 (page 63).
Excercises 9:
a) The original demand is
QD =18-3P
And supply is
QS =-6+9P
The 20-percent increase in demand means that the new demand is 120 percent of the original demand, so the new demand is
Q ́D =1.2QD
Q ́D =1.2(18–3P)=21.6–3.6P.
The new equilibrium is where Q ́D equals the original supply: 21.6 – 3.6P = - 6 + 9P
The new equilibrium price is P* = $2.19 per pound. An increase in demand of 20 percent, therefore, increases price by 19 cents per pound, or 9.5 percent.
b) Using the new price of $2.19 in the supply curve, the new equilibrium quantity is
Q* = - 6 + 9(2.19) = 13.71 million metric tons /year, an increase of 1.71 million metric tons/ year.
c) The new supply of copper falls (shifts to the left) to 80 percent of the original, so
Q ́S = 0.8QS = 0.8(-6 + 9P) = - 4.8 + 7.2P.
The new equilibrium is where Q ́D = Q ́S.
21.6 – 3.6P = - 4.8 + 7.2P.
The new equilibrium price is P* = $2.44 per pound.
Plugging this price into the new supply equation, the new equilibrium quantity is:
Q* = 4.8 + 7.2(2.44) = 12.77 million metric tons/ year.
Exercise 10:
a) The competitive (non-OPEC) quantity supplied is Sc = Q* = 20.
The general form for the linear competitive supply equation is SC = c + dP. the short-run supply elasticity as ES = d(P*/Q*) where d is the slope of the supply function. Since ES = 0.10, P* = $50, and Q* = 20, 0.10 = d(50/20). d = 0.04.
Substituting for d, Sc, and P in the supply equation, c = 18, and the short-run competitive supply equation is Sc = 18 + 0.04P.
Similarly, world demand is D = a - bP the short-run demand elasticity is
ED = - b(P*/Q*), where Q* is total world demand of 34 and b is the slope of the demand

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