A rational government aims to maximise the net social benefit from its spending.
Step 1: Calculate the net benefit of each project.
Net Benefit = Total Social Benefit − Project Cost
- Hospital Wing: $60 million − $48 million = $12 million net benefit.
- New Road: $58 million − $50 million = $8 million net benefit.
Step 2: Make the rational choice.
The hospital wing provides a higher net benefit ($12 million) compared to the new road ($8 million). Therefore, the rational choice is to build the hospital wing.
Step 3: Identify the opportunity cost.
By choosing the hospital wing, the government forgoes the next best alternative, which is the new road. The opportunity cost is the value of the benefit that this alternative would have provided.
Final Answer: The rational choice is to build the hospital wing. The opportunity cost is the $58 million in social benefits that would have been generated by the new road.