Consider the utlity function u(x1,x2)=3In(x1) +2In(x2). Initially p1=$1 and p2=$2. Income is $ 15.

1. Derive the optimal consumption bundle. [05 pts]

2. If the price of good 1 doubles to $ 2, derive the new consumption bundle. [03 pts]

3. Decompose the the change in consumption of good 1 into the income and substitution

effect, and illustrate your answer with a graph. [05 pts]

4. Compute the Compensation variation (CV) and the Equivalent Variation (EV). [07 pts]