The operations manager for a local bus company wants to decide whether he should purchase a small, medium, or large new bus for his company. He estimates that the annual profits (in $000) will vary depending upon whether passenger demand is low, moderate, or high, as follows. Demand Medium Low High 70 50 60 Bus Small Medium Large Prior Probability 40 80 90 20 50 120 0.3 0.3 0.4 What is the expected annual profit for the bus that he will decide to purchase using Bayes' decision rule? Multiple Choice O $72,000 $69,000 $15,000 $87,000 $61,000