1) a) Given the following typical utility curves determine whether they have convex indifference curves (that is, vhether the Marginal Rate of Substitution declines as x increases). U(x, y)=Vx² - y? b) Given the following Constant Elasticity of Substitution production function, show whether or not it is homogeneous, and the scale it exhibits. Q = [L² + K'³

ENGR.ECONOMIC ANALYSIS
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Author:NEWNAN
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Chapter1: Making Economics Decisions
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ence learning videos X
ECON 509 UNIT 1 ASSIGNMENT X
File | C:/Users/J...
UNIT ONE
Answer All questions
1) a) Given the following typical utility curves determine whether they have convex indifference
curves (that is, vhether the Marginal Rate of Substitution declines as x increases).
U(x,y)=vx -y
b) Given the following Constant Elasticity of Substitution production function, show whether
or not it is homogeneous, and the scale it exhibits. Q =[L' + K']%
2) Prove that the polynomial P(x) = -2x³ + 2x² + 10x + 6 has a zero at x = 3, and factor
the polynomial.
3) The demand and supply functions for two related goods; jeans (x) and shirts(y), are given by
the equations:
P = 50+Q,
P= 40+20,
Pa=100-5Q,-Q,
P = 240-100, - 8Q,
%3D
dy
sy
a) Find the equilibrium price and quantity of jeans (x) and shirts(y).
b) Explain with evidence from the system of equations whether the two goods are substitute
or complementary
80
Transcribed Image Text:ence learning videos X ECON 509 UNIT 1 ASSIGNMENT X File | C:/Users/J... UNIT ONE Answer All questions 1) a) Given the following typical utility curves determine whether they have convex indifference curves (that is, vhether the Marginal Rate of Substitution declines as x increases). U(x,y)=vx -y b) Given the following Constant Elasticity of Substitution production function, show whether or not it is homogeneous, and the scale it exhibits. Q =[L' + K']% 2) Prove that the polynomial P(x) = -2x³ + 2x² + 10x + 6 has a zero at x = 3, and factor the polynomial. 3) The demand and supply functions for two related goods; jeans (x) and shirts(y), are given by the equations: P = 50+Q, P= 40+20, Pa=100-5Q,-Q, P = 240-100, - 8Q, %3D dy sy a) Find the equilibrium price and quantity of jeans (x) and shirts(y). b) Explain with evidence from the system of equations whether the two goods are substitute or complementary 80
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