A manufacturer needs to run tests on 2 separate components of a board, R & Q. These can be tested in either order and if either test fails the board is scrapped. (Board is worthless if R works but Q doesnt, and vice-versa.)

The test costs and the probabilities of failure are:

Test	Cost	P(failure)
R	$6.50	0.05
Q	$8.00	0.10

Construct the decision tree and determine the preferred test order.

Please show all the work.