Question Completion:
The local operations manager for the IRS must decide whether to hire 1, 2, or 3 temporary workers. He estimates that net revenues will vary with how well taxpayers comply with the new tax code.
Investment Compliance
Low Medium High
1 50 50 50
2 100 60 20
3 150 70 - 10
Chances of 20% 30% 50%
Answer:
He will hire 1 new worker.
Explanation:
a) Data and Calculations:
Investment Compliance
Low Medium High Expected Net Revenue
1 50 50 50 $50
2 100 60 20 $48
3 150 70 - 10 $46
Expected net revenue:
With 1 worker, expected values = 50*20% + 50*30% + 50*50% = 50
With 2 workers, expected values = 100*20% + 60*30% + 20*50% = 48
With 3 workers, expected values = 150*20% + 70*30% + -10*50% = 46
b) By hiring only 1 new worker, the expected net revenue is maximized at $50 instead of $48 and $46 with 2 and 3 workers respectively. The expected values are obtained by weighing the outcomes with the probabilities of the events occurring, and then totaling each option. The option that yields the greatest revenue is chosen.
