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4.2 Draw the indifference curves for the following four types of preferences:

Type A

a log xl + [1 – a] log x2
Type B

(3xl + x2
Type C Type D

r [xl]2 + [x2]2
min {oxl, x2} .
where xl, x2 denote respectively consumption of goods 1 and 2 and a, (3, r, o are strictly positive parameters with a 1. What is the consumer's cost
function in each case?

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