1. A consumer has the utility function U (x₁ , x₂) = min (2x₁ , x₂)and an income of $200. Initially, the price of good 1 is $6 and the price of good 2 is $2.

a) Find consumer's demand function for good 1.

b) Then, price of good 1 decreases to $ 4 and price of good 2 stays at $2. What is the total change in demand for good 1? Show the income and substitution effects of this price change both graphically and algebraically.