The Ventron Engineering Company has just been awarded a $2 million development contract by the US Army Aviation Systems Command to develop a blade spar for their Heavy Lift Helicopter program. The blade spar is a metal tube that runs the length of, and provides strength to, the helicopter blade. Due to the unusual length and size of the heavy lift helicopter blade Ventron is unable to produce a single piece of the required dimensions using existing extrusion equipment and material. The Engineering Department has prepared two alternatives for developing the blade spar: (1) sectioning or (2) an improved extrusion process. Ventron must decide which process to use. Backing out of the contract at any point is not an option. A risk report has been prepared by the engineering department. The information from this report is explained next. The sectioning option involves joining several shorter lengths of extruded metal into a blade spar of sufficient length. This work will require extensive testing and rework over a 12 month period at a total cost of $1.8 million. Although this process will definitely produce an adequate blade spar, it merely represents an extension of existing technology. To improve the extrusion process, on the other hand, it will be necessary to perform two steps: 1) improve the material used at a cost of $300,000, and 2) modify the extrusion process at a cost of $960,000. The first step will require six months of work and, if the first step is successful, the second step will require another six months of work. If both steps are successful the blade spar will be available at that time, that is, a year from now. The engineers estimate that the probabilities of succeeding in steps one and two are to 0.9 and 0.75 respectively. However if either step is unsuccessful which will be known only in six months for step one and in a year for step two, Ventron will have no alternative but to switch to the sectioning process and incur the sectioning cost on top of any costs already incurred. Development of the blade spar must be completed within 18 months to avoid holding up the rest of the contract. If necessary the sectioning work can be done on an accelerated basis in a six-month period but the cost of sectioning will increase from $1.8 million to $2.4 million. The Director of Engineering, Dr. Smith, wants to try developing the improved extrusion process. He reasons that this is not only cheaper for the present project but if successful its expected side benefits for future projects could be sizable. Although the side benefits are difficult to gauge Dr. Smith's best guess is an additional $2 million. Of course, these side benefits are obtained only if both steps of the modified extrusion process are completed successfully. a) Develop the decision tree to maximize Ventron’s expected monetary value (EMV). This includes the revenue from this project, the side benefits, if applicable, from the extrusion process, and relevant costs. You don't need to worry about the time value of money; that is, no discounting or net present values are required. b) What value of side benefits would make Ventron indifferent between the two alternatives? c) How much would Ventron be willing to pay right now for perfect information about both steps of the improved extrusion process? (this information would tell Ventron, right now the ultimate success or failure of both steps.)