Final answer:
The hospital's required price is $119.33 per service, calculated by adding the desired net income to the total cost to determine the total revenue needed, and then dividing by the total volume of services provided.
Step-by-step explanation:
The hospital's required price can be determined by calculating the total revenue needed to achieve the desired net income and then dividing it by the total volume of services provided. First, we add the desired net income to the total cost to find the total revenue needed:
Total Revenue Required = Total Cost + Desired Net Income
Total Revenue Required = $342,000 + $16,000
Total Revenue Required = $358,000
Next, we calculate the average payment rate by dividing the total revenue required by the total volume:
Average Payment Rate = Total Revenue Required / Total Volume
Average Payment Rate = $358,000 / 3,000
Average Payment Rate = $119.33
Therefore, the hospital's required price, on average, is $119.33 per service to meet its desired net income.