Break even Point

rubyrell

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An equipment acquisition proposal was being considered by a large health care organization. The array machine will enable the hospital to perform autoimmunity tests (for immunoglobulin’s G, M, and A , also complements C3 and C4) in-house rather than sending them to a reference laboratory. Test turnaround time is expected to decrease by 2 days. The array machine costs $50,000, with a useful life of 5 years. The depreciation schedule will be $10,000/year. The expected volume for tests is one of each of the five autoimmunity tests per day. Having the tests done by the reference laboratory costs the hospital an average of $10/test. The hospital's average charge to patients is $20/test. If the array machine is acquired and the tests done in-house, the costs of reagents would average $2/test.
The array machine can run a maximum of 40 patient samples and perform 20 different tests on each sample every 2 hours. Except in extraordinary circumstances, tests would be run Monday through Saturday. The machine requires approximately 1 hour of technician time (valued at $15/hour) each day to calibrate it, to conduct a test run for control purposes and to perform general maintenance. This is a fixed cost because it does not vary by volume. Technician setup time to run tests is negligible. Beyond the five autoimmunity tests the laboratory wants to perform in-house, the machine can also perform Apo lipoprotein cardiac profiles that are currently done on equipment in the clinical chemistry department. The array machine can provide a quantitative measure and not just the positive or negative indicator that the clinical chemistry department's current equipment gives.

This is hard
1. How many autoimmunity tests per year will have to be performed on the array machine to break even?


2. Given the present volume of tests, would there be an annual net contribution and, if so, how much?
 
1. How many autoimmunity tests per year will have to be performed on the array machine to break even?
How much does the hospital profit for each test? (Hint: Subtract.)

How much does the machine cost per year?

How many tests would be required for profit to equal costs? (Hint: Divide.


2. Given the present volume of tests, would there be an annual net contribution and, if so, how much?
How many tests get done per year? (Hint: Divide.) How much is paid for these tests? (Hint: Multiply.)

How much does this cost currently? (Hint: Multiply.) How much of this is profit? (Hint: Subtract.)

How much would that number of tests costs with the new machine? (Hint: Multiply.) How much would be gross profit? (Hint: Subtract.)

How much does the machine cost per year? How much then would be the net profit? (Hint: Subtract.)

This is hard
Please reply showing the work you've done which led to the above conclusion.

 
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