5. Consider the following project data: A 2 million feasibility study will be conducted at t =0. If the study indicates potential, the firm will spend 10 million at t= 1 to build a prototype. The best estimate is that there is an 80% chance that the study will indicate potential and 20% chance that it will not. If reception of the prototype is good the firm will spend 350 million to build a production plant at t=2. The best estimate is that there is a 70% chance that the prototypes reception will be poor. If the plant is built, theres a 60% chance of a t=3 cash inflow of 300 million and a 40% chance of 150 million cash inflow. If the inflow at t=3 is 300 million, there are 30% and 70% chances of 160 million and 90 million inflows respectively at t=4. If the inflow at t=3 is 150 million, there are 80% and 20% chances of 210 million and 140 million inflows respectively at t=4. The plant has a salvage value of 50 million at t=5. If the appropriate cost of capital is 15% what is the projects expected NPV?