The local operations manager for the CRA must decide whether to hire $1,2,$ or $3$ temporary workers. He estimates that net revenues $($in thousands of dollars$)$ will vary with how well taxpayers comply with the new tax code. If he thinks the chances of low, medium, and high compliance are $20\%,30\%,$ and $50\%$ respectively, what is his expected value of perfect information?

# of workers

low compliance

medium compliance

high compliance

$1$

$50$

$50$

$50$

$2$

$100$

$60$

$20$

$3$

$150$

$70$

$-10$

Question $4$ options:

$$23,000$

$$20,000$

$$28,000$

$$26,000$

$$30,000$