In an economy,

There are 600 consumers of Type A, with utility function

(1,2)=12

Each type A consumer has income

There are 300 consumers of Type B, with utility function

(1,2)=1/4log(1)+ 3/4log(2)

Each type B consumer has income mB.

The prices of the two goods are 1,2>0

** Part a. (5 marks)

Find the market demand curve, denoted by 1(1,,)

** Part b. (5 marks)

Does the distribution of income does/does not affect the market demand in this economy? If not, show a counterexample.