$12\mathrm{.}29$ A machine shop specializing in industrial pumps is experiencing a substantial backlog, and the shop's management is considering three courses of action:Arrange for subcontracting $($A$)$Construct new facilities $($B$)$Do nothing $($C$)$The correct choice depends largely upon demand, which may be low, medium, or high. By consen$-$sus, management estimates the respective demand probabilities as $0\mathrm{.}2,0\mathrm{.}5,$ and $0\mathrm{.}3.$ The management estimates the profits when choosing from the three alternatives $($A$,$ B$,$ and C$)$ under the differing probable levels of demand. These profits are already expressed in terms of NPW$.$