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At Tech Engineering, a new equipment is expected to cost $$100,000.$ The annual savings are estimated to be $$12,000,$$$15,000,$ and $$20,000$ respectively for $10$ years of its life with probabilities of $0\mathrm{.}4,0\mathrm{.}5,$ and $0\mathrm{.}1$ respectively. The annual savings for this equipment is $$15,667.$

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