What is the benefit: cost ratio if a program intervention costs $1,890,000 and yields savings of $5.67 million?

To determine the benefit-cost ratio, you divide the total savings generated by the program intervention by the total cost of implementing that intervention. In this case, the program costs $1,890,000 and yields savings of $5,670,000.

First, calculate the net benefit by subtracting the cost from the savings:

Net benefit = Savings - Cost

Net benefit = $5,670,000 - $1,890,000 = $3,780,000

Next, the benefit-cost ratio is calculated as:

Benefit-Cost Ratio = Savings / Cost

Benefit-Cost Ratio = $5,670,000 / $1,890,000

When you perform this calculation, you'll find that the ratio simplifies to approximately 3:1. This indicates that for every dollar spent on the program, there is a return of three dollars in savings. This ratio highlights the cost-effectiveness of the program intervention, demonstrating that it provides substantial benefits relative to its cost.

Thus, the correct answer reflects a strong positive financial impact from the intervention, reinforcing its value in resource allocation and planning decisions.