Scenario: 500 units of a product are being manufactured and the question to be answered is whether or not to perform a particular test on those units before shipping. The test costs $10,000 per unit to perform. The cost not to perform the test is $0 per unit, but if a unit fails in the field then it will have to be fixed in the field, which has a cost of $350,000 per unit. If the units are tested, for the units that pass the test, there is now an additional cost of re-readying the units for delivery of $2,000 per unit. For the units that fail the test, there is now an additional cost of $21,000 to fix the units, as well as the $2,000 per unit cost of re-readying them for delivery, for a $23,000 total cost per unit.
Historically you know and can count on the fact that 96% of your products will pass the testing. The same pass/fail rate for testing applies to the pass/fail rate observed in the field.
To fully complete this assignment, you need to answer or perform the following:
The math and resulting values you are expected to fill in to show the completion of the decision tree.
Be sure to fill in the last two values: what is the Expected Monetary Value for both performing the test and not performing the test?
Which choice should be made? Be sure to include with your submission an answer to whether the test should be performed or not, and give a short answer why.