Question

Your hospital needs a new automated CBC analyser that costs $15,000. You decide to purchase the machine by financing it. Your monthly loan payment is $600. The client cost is $30 per CBC test. Your hospital is open 5 days a week. On average, how many CBC samples to you have to run daily to cover the cost of the machine?

Answer 1

To cover the cost of a new automated CBC machine with a monthly payment of $600, the hospital must perform a minimum of 1 CBC test per day over a 5-day work week.

Step-by-step explanation:

The question requires us to calculate the number of Complete Blood Count (CBC) tests that need to be run daily to cover the monthly loan payment for a new CBC analyzer. First, we determine the monthly cost of the machine by recognizing that $600 is paid monthly for the loan. Then, we divide this cost by the revenue per test, which is $30 per CBC test. Once we have the total number of tests required monthly, we divide by the number of working days in a month to find the daily average, considering the hospital operates 5 days a week. Assuming a uniform distribution of working days, we take a month as approximately 4 weeks, which gives us 20 working days in a month.

Calculation Steps:

1. Calculate the monthly number of tests: $600 monthly payment / $30 per test = 20 tests per month.
2. Calculate the daily number of tests: 20 tests per month / 20 days per month = 1 test per day.

Therefore, the hospital needs to run 1 CBC test per day, 5 days a week, to cover the cost of the machine.