Multi pаrt questiоns - 4 strаtegies аs listed belоw Yоu are assigned to assist a program manager in choosing one of three rollout strategies for a new capability upgrade. The firm has already completed prototype testing, but the leadership team must commit to a single plan before the operating environment becomes clear. The challenge is that the next quarter could unfold in three very different ways due to shifting constraints such as customer demand, supply chain stability, and regulatory timing. The program manager cannot assign reliable probabilities to these scenarios, so the decision must be made using decision-making under uncertainty rules. To support the choice, the team estimated the “overall value” of each strategy using a utility score (in utiles), where higher numbers represent better outcomes when balancing cost, schedule, performance, and risk. Payoff matrix as follows: The following matrix gives the payoffs in utiles for three alternatives and three possible states: S1 S2 S3A1 48 82 78A2 62 68 22A3 88 34 64 You will be applying 4 methods for the alternative Laplace principle Maximin rule Maximax rule Hurwicz rule with α = 75% optimism posture Which alternative would be chosen under Laplace principle