The Operations Manager for a Local Bus Company Wants to Decide

Multiple Choice

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, medium, or high, as follows: $$\begin{array} { | l | l | l | l | } \hline \text { Bus } & { \text { DEMAND } } \\\hline & \text { LOW } & \text { MEDIUM } & \text { HIGH } \\ \hline \text { Small } & 50 & 60 & 70 \\\hline \text { Medium } & 40 & 80 & 90 \\\hline \text { Large } & 20 & 50 & 120 \\\hline\end{array}$$ If he feels the chances of low, medium, and high demand are 30 percent, 30 percent, and 40 percent respectively, what is the expected annual profit for the bus that he will decide to purchase?

A) $15,000
B) $61,000
C) $69,000
D) $72,000
E) $87,000