(25 marks) Doodle Corporation is considering three options for managing its data processing operation: continuing with its own staff, hiring an outside vendor to do the managing (i.e., outsourcing) or using a combination of its own staff and an outside vendor. The cost of the operation depends on future demand. The annual cost of each option (in thousands of dollars) depends on demand as follows: Table 1: Annual cost in thousands of dollars (a) (5 marks) Determine the best decision if the decision maker is a perfect optimist. (b) ( 8 marks) The demand probabilities are 0.2,0.5 and 0.3 respectively. Determine the best decision if the decision maker wishes to minimize the expected regret. (c) (2 marks) Determine EVPI. (d) (10 marks) The decision maker wishes to do a sensitivity analysis on the probability of medium demand. Perform a graphical sensitivity analysis on this probability