Sam is interested in two goods, X and Y. His indirect utility function is U* = M py -0.8 py 0.8-1. ( same as U* = M / (p 0.8 p 1-0.8 ) ) where M is Sam's income, and px and py denote respectively the price of good X and the price of good Y. Sam's market demand function for good X is X*=0.8M/Px . Find the compensating variation for Sam given the price of good X rises from 1 to 6 dollars due to a per- unit tax imposed by the government, assuming his income is M=551 and price of good Y is equal to 3