Question
Repairs are need on the outlet works of a small dam. For a particular 36-inch gate value, there are three available alternatives: (1) leave the
Repairs are need on the outlet works of a small dam. For a particular 36-inch gate value, there are three available alternatives: (1) leave the valve as it is; (2) repair the valve; or (3) replace the valve. If the valve is let as it is, the probability the valve seats fail during the life of the dam is 0.49; the probability the valve stem fails is 0.38; the probability the valve body fails is 0.03; and the probability nothing in the valve fails is 0.1. If the valve is repaired, the probability the valve seats fail is 0.44; the probability the valve stem fails is 0.27; the probability the valve body fails is 0.12; and the probability nothing in the valve fails is 0.17. If the valve is replaced, the probability the valve seats fail is 0.2; the probability the valve stem fails is 0.21; the probability the valve body fails is 0.08; and the probability nothing in the valve fails is 0.51. The cost of future repairs and service disruption of a failure of the valve seats is $25,000; the cost of a failure of the valve stem is $48,000; and the cost of a failure of the valve body is $38,000. The cost to repair the valve now is $2200, and the cost to replace the valve now is $17,000. If the criterion is to minimze expected costs, enter the expected cost of the best alternative. You do not need to consider interest rates for this problem.
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started