Suppose that a decision maker faced four decision alternatives and four states of nature to find the expected profit and developed the following profit decision table. Answer the following questions considering the probabilities for state of natures: P(S1)=0.25,P(S2)=0.50, P(S3)=0.25, and P(S4)=0.15. i. Find the expected profit value of each decision alternative. ii. Which decision alternative has the greatest expected value? iii. Identify and explain the recommended decision alternative using the Pessimistic approach. iv. Identify and explain the recommended decision alternative using the Optimistic approach