Problem 3 (30 Points): A plant engineer is about to commence an urgent above normal production run. To ensure meeting the desired production rate, she has decided to transfer and incorporate into the production line a piece of equipment from another line at a cost of $6000. The engineer is considering whether to overhaul this equipment before placing it in the new production line. The piece of equipment costs $1000 to overhaul, whereas if she incorporates the item into the process line and it then breaks down it will cost $1200 to cover the cost of repair and lost time. The engineer estimates that there is a 70% chance that the equipment motor is reliable but is assured that it will be reliable if it is overhauled. A dynamometer test of the motor costs $150 but will only indicate whether the motor is in good or bad condition with a 15% chance that the test results prove invalid. The engineer estimates that there is a 80% chance that the dynamometer test will indicate a reliable motor. If the plant manager wishes to base her decision on expected monetary value, what should be her optimum strategy? Important. You must draw the decision tree and then add your computations to it. TH