Hudson Corporation is considering three options for managing its data processing operation: continuing with its own staff, hiring an outside vendor to do the managing, or using a combination of its staff and an outside vendor. The profit of the corporation depends on future demand. The annual profit of each option (in thousands of dollars) depends on demand as follows: Demand Staffing Options High Median Low Own staff 650 650 600 Outside vendor 900 600 300 Combination 800 650 500 a. Construct a decision tree. b. Recommend a decision based on the use of the optimistic, conservative, and minimax regret approaches (show steps). c. If the demand probabilities are 0.2, 0.5, and 0.3, respectively for High, Median, and Low demands, use the expected value approach to determine the optimal decision (show steps)