part 1

6. Find functions of two variables with the domains x1, x2 > 0 that are (a) Quasi-concave, but not strictly quasi-concave and not concave.

Strictly quasi-concave, but not concave.

Quasi-concave, but not strictly quasi-concave and not strictly concave.

Strictly quasi-concave and concave, but not strictly concave.

The locus of points of tangency between income lines and indifference curves for given prices p1, p2 and a changing value of income is called an income expansion line or Engel curve. Show that the Engel curve is a straight line if the utility function is given byU =, > .

Let a consumer's utility function be U = + . + and his budget constraint 3 + = . Show that his optimum commodity bundle is the same as in Exercise 2.3. Why is this the case?

Prove that if the consumer is indifferent between commodity bundles (andand has a homothetic utility function, she will also be indifferent between the

bundles ( ) and (

Construct an indirect utility function that corresponds to the direct function U =

+ . Use Roy's identity to construct demand functions for the two goods. Are these the same as the demand functions derived from the direct utility function?

part 2

11.

a) Explain why a judge in the high court would issue the writ of certiorari

12.

C) Highlight the circumstances under which a court may se aside an award

13.

a) Explain the jurisdiction of the land disputes tribunal.

c)Explain the conditions necessary for the remedy of 'mandamus" to apply

SOURCES OF LAW

14.

a) with specific reference to source law:

Explain three advantages of unwritten constitution over written one

Distinguish between "orbiter dicta "and"ratio decidendi"

15.

a)

list the function of international treaties.

Outline five sources of international law.