3. [10] Jorge has a utility function U(c1, c2 ) = min(6c₁, 3c₂) where ₁ and ₂ are his consumption in periods 1 and 2 respectively. Jorge earns $50 in period 1 and $255 in period 2.

a. [5] There is no inflation and he can borrow and save freely at an interest rate of 10%. What will Jorge's optimal consumption be in the two periods? b. [5] Suppose that Jorge lives in a hyperinflationary country; the price level in period 2 will be three times (i.e. triple) the price level in period 1. What will Jorge's optimal consumption be in the two periods?