Problem #1 - Spring Break Road Trip (Decision Trees) Node Probability Time of event Value # (Hours) happening 1 2 3 4 p = (0.70) 5 p = (0.30) 6 7 8 9 10 11 12 13 14 15 16 14 p = (0.40) 17 15 p = (0.40) 18 16 p = (0.20) 19 16 p = (0.85 20 17 p = (0.15) 21 15 p = (0.40) 22 16 p = (0.40) 23 18 p = (0.20) 24 18 p = (0.85) 25 19 p = (0.15) 26 16 p = (0.50) 27 18 p = (0.50) 28 12 p = (0.40) 29 20 p = (0.60) 30 15 p = (0.40) 31 15 p = (0.40) 32 16 p = (0.20) 33 16 p = (0.80) 34 20 p = (0.20) You have made it halfway through the semester! Well done, it is time to reward your hard work with a spring break trip! You are traveling with several friends. The group narrows the trip destination down to 4 locations. One of your friends, who is under 21, wants to take a 5-day cruise (to escape United States regulation and jurisdiction). The cruise sails from a port in Tampa, Florida. Two other friends want to go to Ultra Music Festival in Miami, Florida. Your other quirky friend is curious about seeing Bourbon Street in New Orleans, Louisiana. You prefer to party hard enough to make it on MTV in Panama 16 40 Speed to Tampa (FL) 4017 70 Drive through Jacksonville (FL) Drive safely to Tampa (FL) Blow a tire on the way to Tampa (FL) Speed to Savannah (GA) SS 19 Speed to Miami (FL) Drive through Daytona Beach (FL) 1920) Drive safely to Miami (FL) Charlotte (NC) 49 21 Drive safely to Tampa (FL) 10 4022 30 Drive through Jacksonville (FL) Stop to sight-see on the way to Tampa (FL) Drive safely to Savannah (GA) Stop to swim on the way to Tampa (FL) 4524 11 Drive safely to Miami (FL) Drive through Daytona Beach 525) Columbus (OH) Run out of gasoline on the way to Miami (FL) 50 25 12 Speed to get to Miami (FL) Do not race the University of Michigan carto Miami (FL) 5027 Drive safely to get to Miami (FL) Drive through Knoxville (TN), see a University of Michigan car full of students on spring break 15 Race the University of Michigan car to Miami (FL) Cincinnati (OH) Continue to Panama City Beach (FL) 4028 Arrive first to Miami (FL) 1029 Arrested for reckless driving, arrive last to Miami (FL) 40 30 Arrive safely in Panama City Beach (FL) 0 31 Make a wrong turn on the way to Panama City Beach (FL) 32 Get involved in a minor collision on the way to Panama City Beach (FL) 80 33 Speed on the way to New Orleans (LA) 20 34) Car overheats on the way to New Orleans (LA) Drive through Nashville (TN) 15 Divert to New Orleans (LA) City Beach, Florida. You all want to stick together, so agree to make a decision tree from your recent skills learned in BUSMGT 2321. You fill the decision tree with various scenarios that match the impulsiveness of each driver. Before solving the decision tree, the group agrees to take the trip that has the least amount of driving time to the destination. You omit the option to do nothing" from the decision tree - you are 100% certain that the group will take a trip. The diagram on the following page is the decision tree that you will use to solve the problem. Fill out the table on this page to receive points. Each node (place, decision, etc.) is labeled on the diagram with its corresponding number placed to the top left of its corner. For full credit, all the value cells must be completed and the destination that you will go to must be written inside of the provided box. There is no need to fill out the shaded cells in the table. Report all numbers to 2 decimal places