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:

$\backslash$table$[[$Bus$,,,$Demand,$],[,$Low,Medium,High,$],[$Small$,50,60,70,],[$Medium$,40,80,90,120],[$Large$,20,50,120,]]$

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?

$$15,000$

$$61,000$

$$69,000$

$$87,000$

$$72,000$