Question 2 [3+3+3+3+3 = 15 marks] Xenon Software is bidding on three separate projects, P1, P2, and P3. They know that they will win exactly one of those projects, but they do not know which one. They also have no idea which of the projects is more likely. They need to buy some computer equipment to support the projects. The equipment choices, C1 through C4, are mutually exclusive; Xenon can only buy one of them. Due to lead times in purchasing, they need to buy the equipment before any contract is awarded. Unfortunately, certain choices of equipment are better suited to some projects than others. The following payoff matrix shows the net profit (in $1000s) for the various choices of computer equipment under each of the projects. Equipment P1 C1 P2 90 30 80 | 100 30 70 100 P3 60 | 140 90 C2 C3 C4 20 120 a. What equipment would be purchased based on the Laplace rule? b. What equipment would be purchased based on the Maximin rule? c. What equipment would be purchased based on the Maximax rule? d. What equipment would be purchased based on the Hurwicz rule with a = 0.3? e. What equipment would be purchased based on the Minimax regret rule? Please, show all your work and the different tables