A fast food restaurant chain is considering a store expansion program. The most important factor to consider is next two year’s level of interest rate. It is estimated that there is a 30% chance that it goes up, a 50% chance that it stays same, and a 20% chance that it goes down. The strategies and corresponding expected payoffs (profit) are: Rate goes-up Rate stays same Rate goes-down (30%) (50%) (20%) Build 10 new places $300,000 $50,000 $250,000 Build 5 new places $150,000 $26,000 $80,000 Do nothing $70,000 0 $25,000 Draw a decision tree. Calculate expected value at every node. What should they do?