The test for disease X has specificity of 99% (P(-| not X); and sensitivity of 90% P(+| X). A patient has been exposed but is not showing any symptoms; his doctor assesses that the probability the person has X is 45%. The two alternatives are to treat or not treat. The cost of treating X is $2000. The cost of untreated X is $25,000. What is the value of imperfect information, what is the value of the disease X test in this case?